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Advances in Mathematics of Communications (AMC) publishes original research papers of the highest quality in all areas of mathematics and computer science relevant to applications in communications technology. For this reason, submissions from many areas of mathematics are invited, provided these show a high level of originality, new techniques, an innovative approach, novel methodologies, or otherwise a high level of depth and sophistication. Any work that does not conform to these standards will be rejected.

Call for Papers: Special Issue on "Cryptography and Coding Theory-dedicated to the 60th Birthday of Prof. Cunsheng Ding."
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Rotated $ A_n $-lattice codes of full diversity
Agnaldo José Ferrari and Tatiana Miguel Rodrigues de Souza
2022, 16(3) : 439-447 doi: 10.3934/amc.2020118 +[Abstract](1753) +[HTML](652) +[PDF](372.16KB)
New discrete logarithm computation for the medium prime case using the function field sieve
Madhurima Mukhopadhyay, Palash Sarkar, Shashank Singh and Emmanuel Thomé
2022, 16(3) : 449-464 doi: 10.3934/amc.2020119 +[Abstract](1761) +[HTML](590) +[PDF](459.28KB)
Three classes of partitioned difference families and their optimal constant composition codes
Shanding Xu, Longjiang Qu and Xiwang Cao
2022, 16(3) : 465-483 doi: 10.3934/amc.2020120 +[Abstract](1749) +[HTML](701) +[PDF](552.02KB)
Nearly optimal codebooks from generalized Boolean bent functions over $ \mathbb{Z}_{4} $
Junchao Zhou, Yunge Xu, Lisha Wang and Nian Li
2022, 16(3) : 485-501 doi: 10.3934/amc.2020121 +[Abstract](1579) +[HTML](693) +[PDF](504.91KB)
Codes over $ \frak m $-adic completion rings
Saadoun Mahmoudi and Karim Samei
2022, 16(3) : 503-524 doi: 10.3934/amc.2020122 +[Abstract](1668) +[HTML](555) +[PDF](466.75KB)
Constacyclic codes of length $ 8p^s $ over $ \mathbb F_{p^m} + u\mathbb F_{p^m} $
Hai Q. Dinh, Bac T. Nguyen and Paravee Maneejuk
2022, 16(3) : 525-570 doi: 10.3934/amc.2020123 +[Abstract](1532) +[HTML](546) +[PDF](735.5KB)
Complete weight enumerator of torsion codes
Xiangrui Meng and Jian Gao
2022, 16(3) : 571-596 doi: 10.3934/amc.2020124 +[Abstract](1746) +[HTML](570) +[PDF](591.48KB)
On ideal $ t $-tuple distribution of orthogonal functions in filtering de bruijn generators
Kalikinkar Mandal and Guang Gong
2022, 16(3) : 597-619 doi: 10.3934/amc.2020125 +[Abstract](1618) +[HTML](650) +[PDF](564.45KB)
A practicable timing attack against HQC and its countermeasure
Guillaume Wafo-Tapa, Slim Bettaieb, Loïc Bidoux, Philippe Gaborit and Etienne Marcatel
2022, 16(3) : 621-642 doi: 10.3934/amc.2020126 +[Abstract](1945) +[HTML](774) +[PDF](483.72KB)
On $ \sigma $-self-orthogonal constacyclic codes over $ \mathbb F_{p^m}+u\mathbb F_{p^m} $
Hongwei Liu and Jingge Liu
2022, 16(3) : 643-665 doi: 10.3934/amc.2020127 +[Abstract](1996) +[HTML](621) +[PDF](496.35KB)
RETRACTION: Cryptanalysis and enhancement of multi factor remote user authentication scheme based on signcryption
Editorial Office
2020doi: 10.3934/amc.2020103 +[Abstract](1936) +[HTML](801) +[PDF](58.33KB)
Some results on lightweight stream ciphers Fountain v1 & Lizard
Ravi Anand, Dibyendu Roy and Santanu Sarkar
2020doi: 10.3934/amc.2020128 +[Abstract](1637) +[HTML](618) +[PDF](393.41KB)
Codes with few weights arising from linear sets
Vito Napolitano and Ferdinando Zullo
2020doi: 10.3934/amc.2020129 +[Abstract](1457) +[HTML](596) +[PDF](323.99KB)
On the minimum number of minimal codewords
Romar dela Cruz, Michael Kiermaier, Sascha Kurz and Alfred Wassermann
2021doi: 10.3934/amc.2020130 +[Abstract](1340) +[HTML](689) +[PDF](330.04KB)
A new class of optimal wide-gap one-coincidence frequency-hopping sequence sets
Wenli Ren and Feng Wang
2021doi: 10.3934/amc.2020131 +[Abstract](1325) +[HTML](722) +[PDF](351.72KB)
Polynomial-time plaintext recovery attacks on the IKKR code-based cryptosystems
Terry Shue Chien Lau and Chik How Tan
2021doi: 10.3934/amc.2020132 +[Abstract](1303) +[HTML](649) +[PDF](375.67KB)
Connection of $ p $-ary $ t $-weight linear codes to Ramanujan Cayley graphs with $ t+1 $ eigenvalues
Jong Yoon Hyun, Yoonjin Lee and Yansheng Wu
2021doi: 10.3934/amc.2020133 +[Abstract](1310) +[HTML](653) +[PDF](405.51KB)
Character sums over a non-chain ring and their applications
Liqin Qian and Xiwang Cao
2021doi: 10.3934/amc.2020134 +[Abstract](1238) +[HTML](509) +[PDF](551.93KB)
Duadic codes over $ \mathbb{Z}_4+u\mathbb{Z}_4 $
Raj Kumar and Maheshanand Bhaintwal
2021doi: 10.3934/amc.2020135 +[Abstract](1163) +[HTML](544) +[PDF](383.87KB)
The lower bounds on the second-order nonlinearity of three classes of Boolean functions
Qian Liu
2021doi: 10.3934/amc.2020136 +[Abstract](1290) +[HTML](538) +[PDF](424.97KB)
An optimization approach to the Langberg-Médard multiple unicast conjecture
Kai Cai and Guangyue Han
2021doi: 10.3934/amc.2021001 +[Abstract](1025) +[HTML](488) +[PDF](393.36KB)
The weight distribution of irreducible cyclic codes associated with decomposable generalized Paley graphs
Ricardo A. Podestá and Denis E. Videla
2021doi: 10.3934/amc.2021002 +[Abstract](1222) +[HTML](499) +[PDF](440.46KB)
Extremal absorbing sets in low-density parity-check codes
Emily McMillon, Allison Beemer and Christine A. Kelley
2021doi: 10.3934/amc.2021003 +[Abstract](1317) +[HTML](498) +[PDF](421.07KB)
Classical reduction of gap SVP to LWE: A concrete security analysis
Palash Sarkar and Subhadip Singha
2021doi: 10.3934/amc.2021004 +[Abstract](1436) +[HTML](584) +[PDF](452.08KB)
A coercion-resistant blockchain-based E-voting protocol with receipts
Chiara Spadafora, Riccardo Longo and Massimiliano Sala
2021doi: 10.3934/amc.2021005 +[Abstract](2211) +[HTML](677) +[PDF](430.83KB)
Several formulas for Bernoulli numbers and polynomials
Takao Komatsu, Bijan Kumar Patel and Claudio Pita-Ruiz
2021doi: 10.3934/amc.2021006 +[Abstract](1610) +[HTML](565) +[PDF](351.54KB)
Combining subspace codes
Antonio Cossidente, Sascha Kurz, Giuseppe Marino and Francesco Pavese
2021doi: 10.3934/amc.2021007 +[Abstract](1253) +[HTML](475) +[PDF](417.57KB)
On the correlation measures of orders $ 3 $ and $ 4 $ of binary sequence of period $ p^2 $ derived from Fermat quotients
Huaning Liu and Xi Liu
2021doi: 10.3934/amc.2021008 +[Abstract](1385) +[HTML](480) +[PDF](326.96KB)
Formal security proof for a scheme on a topological network
Roberto Civino and Riccardo Longo
2021doi: 10.3934/amc.2021009 +[Abstract](1160) +[HTML](501) +[PDF](266.71KB)
Partial direct product difference sets and almost quaternary sequences
Büşra Özden and Oǧuz Yayla
2021doi: 10.3934/amc.2021010 +[Abstract](1073) +[HTML](525) +[PDF](448.97KB)
The weight recursions for the 2-rotation symmetric quartic Boolean functions
Thomas W. Cusick and Younhwan Cheon
2021doi: 10.3934/amc.2021011 +[Abstract](1015) +[HTML](473) +[PDF](387.58KB)
Some progress on optimal $ 2 $-D $ (n\times m,3,2,1) $-optical orthogonal codes
Kailu Yang, Xiaomiao Wang, Menglong Zhang and Lidong Wang
2021doi: 10.3934/amc.2021012 +[Abstract](1187) +[HTML](543) +[PDF](464.48KB)
Generalized Hamming weights of toric codes over hypersimplices and squarefree affine evaluation codes
Nupur Patanker and Sanjay Kumar Singh
2021doi: 10.3934/amc.2021013 +[Abstract](1156) +[HTML](487) +[PDF](416.09KB)
Ternary Primitive LCD BCH codes
Xinmei Huang, Qin Yue, Yansheng Wu and Xiaoping Shi
2021doi: 10.3934/amc.2021014 +[Abstract](1017) +[HTML](440) +[PDF](417.23KB)
Quantum states associated to mixed graphs and their algebraic characterization
Constanza Riera, Matthew G. Parker and Pantelimon Stǎnicǎ
2021doi: 10.3934/amc.2021015 +[Abstract](989) +[HTML](467) +[PDF](457.86KB)
Delegating signing rights in a multivariate proxy signature scheme
Sumit Kumar Debnath, Tanmay Choudhury, Pantelimon Stănică, Kunal Dey and Nibedita Kundu
2021doi: 10.3934/amc.2021016 +[Abstract](1098) +[HTML](560) +[PDF](965.12KB)
On ideal and weakly-ideal access structures
Reza Kaboli, Shahram Khazaei and Maghsoud Parviz
2021doi: 10.3934/amc.2021017 +[Abstract](1066) +[HTML](450) +[PDF](423.61KB)
The conorm code of an AG-code
María Chara, Ricardo A. Podestá and Ricardo Toledano
2021doi: 10.3934/amc.2021018 +[Abstract](1066) +[HTML](476) +[PDF](403.32KB)
On the linear complexity and autocorrelation of generalized cyclotomic binary sequences with period $ 4p^n $
Lin Yi, Xiangyong Zeng, Zhimin Sun and Shasha Zhang
2021doi: 10.3934/amc.2021019 +[Abstract](1040) +[HTML](507) +[PDF](496.03KB)
A new construction of weightwise perfectly balanced Boolean functions
Rui Zhang and Sihong Su
2021doi: 10.3934/amc.2021020 +[Abstract](1243) +[HTML](451) +[PDF](344.08KB)
Designing tweakable enciphering schemes using public permutations
Debrup Chakraborty, Avijit Dutta and Samir Kundu
2021doi: 10.3934/amc.2021021 +[Abstract](1176) +[HTML](531) +[PDF](651.02KB)
Five-weight codes from three-valued correlation of M-sequences
Minjia Shi, Liqin Qian, Tor Helleseth and Patrick Solé
2021doi: 10.3934/amc.2021022 +[Abstract](979) +[HTML](441) +[PDF](382.23KB)
Some subfield codes from MDS codes
Can Xiang and Jinquan Luo
2021doi: 10.3934/amc.2021023 +[Abstract](1185) +[HTML](456) +[PDF](372.9KB)
On additive MDS codes over small fields
Simeon Ball, Guillermo Gamboa and Michel Lavrauw
2021doi: 10.3934/amc.2021024 +[Abstract](1073) +[HTML](591) +[PDF](365.49KB)
Four by four MDS matrices with the fewest XOR gates based on words
Shi Wang, Yongqiang Li, Shizhu Tian and Xiangyong Zeng
2021doi: 10.3934/amc.2021025 +[Abstract](1089) +[HTML](578) +[PDF](532.12KB)
A new twofold Cornacchia-type algorithm and its applications
Bei Wang, Yi Ouyang, Songsong Li and Honggang Hu
2021doi: 10.3934/amc.2021026 +[Abstract](1066) +[HTML](504) +[PDF](420.16KB)
Degenerate flag varieties in network coding
Ghislain Fourier and Gabriele Nebe
2021doi: 10.3934/amc.2021027 +[Abstract](970) +[HTML](423) +[PDF](325.61KB)
New quantum codes from skew constacyclic codes
Ram Krishna Verma, Om Prakash, Ashutosh Singh and Habibul Islam
2021doi: 10.3934/amc.2021028 +[Abstract](1131) +[HTML](552) +[PDF](490.87KB)
On the number of factorizations of $ t $ mod $ N $ and the probability distribution of Diffie-Hellman secret keys for many users
Alar Leibak
2021doi: 10.3934/amc.2021029 +[Abstract](911) +[HTML](370) +[PDF](304.54KB)
Partitioned difference families: The storm has not yet passed
Marco Buratti and Dieter Jungnickel
2021doi: 10.3934/amc.2021030 +[Abstract](796) +[HTML](364) +[PDF](312.03KB)
A decoding algorithm for 2D convolutional codes over the erasure channel
Julia Lieb and Raquel Pinto
2021doi: 10.3934/amc.2021031 +[Abstract](1046) +[HTML](335) +[PDF](475.28KB)
On the number of distinct k-decks: Enumeration and bounds
Johan Chrisnata, Han Mao Kiah, Sankeerth Rao Karingula, Alexander Vardy, Eitan Yaakobi Yao and Hanwen Yao
2021doi: 10.3934/amc.2021032 +[Abstract](872) +[HTML](342) +[PDF](561.44KB)
Two classes of new optimal ternary cyclic codes
Yan Liu, Xiwang Cao and Wei Lu
2021doi: 10.3934/amc.2021033 +[Abstract](990) +[HTML](344) +[PDF](451.61KB)
New type i binary [72, 36, 12] self-dual codes from composite matrices and R1 lifts
Adrian Korban, Serap Şahinkaya and Deniz Ustun
2021doi: 10.3934/amc.2021034 +[Abstract](860) +[HTML](370) +[PDF](393.01KB)
Revisiting some results on APN and algebraic immune functions
Claude Carlet
2021doi: 10.3934/amc.2021035 +[Abstract](823) +[HTML](327) +[PDF](404.43KB)
Domination mappings into the hamming ball: Existence, constructions, and algorithms
Yeow Meng Chee, Tuvi Etzion, Han Mao Kiah and Alexander Vardy
2021doi: 10.3934/amc.2021036 +[Abstract](868) +[HTML](328) +[PDF](1009.78KB)
Z-complementary pairs with flexible lengths and large zero odd-periodic correlation zones
Liqun Yao, Wenli Ren, Yong Wang and Chunming Tang
2021doi: 10.3934/amc.2021037 +[Abstract](1031) +[HTML](376) +[PDF](349.95KB)
On the pseudorandom properties of $ k $-ary Sidel'nikov sequences
Huaning Liu and Yixin Ren
2021doi: 10.3934/amc.2021038 +[Abstract](914) +[HTML](439) +[PDF](345.77KB)
New self-dual codes from $ 2 \times 2 $ block circulant matrices, group rings and neighbours of neighbours
Joe Gildea, Abidin Kaya, Adam Michael Roberts, Rhian Taylor and Alexander Tylyshchak
2021doi: 10.3934/amc.2021039 +[Abstract](912) +[HTML](365) +[PDF](333.8KB)
Automorphism groups and isometries for cyclic orbit codes
Heide Gluesing-Luerssen and Hunter Lehmann
2021doi: 10.3934/amc.2021040 +[Abstract](1032) +[HTML](338) +[PDF](389.43KB)
Cryptographic multilinear maps using pro-p groups
Delaram Kahrobaei and Mima Stanojkovski
2021doi: 10.3934/amc.2021041 +[Abstract](930) +[HTML](345) +[PDF](379.75KB)
On the weight distribution of the cosets of MDS codes
Alexander A. Davydov, Stefano Marcugini and Fernanda Pambianco
2021doi: 10.3934/amc.2021042 +[Abstract](962) +[HTML](283) +[PDF](402.02KB)
Optimal quinary negacyclic codes with minimum distance four
Jinmei Fan and Yanhai Zhang
2021doi: 10.3934/amc.2021043 +[Abstract](809) +[HTML](325) +[PDF](323.54KB)
Repeated-root constacyclic codes of length 6lmpn
Tingting Wu, Shixin Zhu, Li Liu and Lanqiang Li
2021doi: 10.3934/amc.2021044 +[Abstract](801) +[HTML](316) +[PDF](424.55KB)
On BCH split metacyclic codes
Angelot Behajaina
2021doi: 10.3934/amc.2021045 +[Abstract](1270) +[HTML](289) +[PDF](379.49KB)
On one-lee weight and two-lee weight $ \mathbb{Z}_2\mathbb{Z}_4[u] $ additive codes and their constructions
Jie Geng, Huazhang Wu and Patrick Solé
2021doi: 10.3934/amc.2021046 +[Abstract](740) +[HTML](270) +[PDF](430.17KB)
On the complexity of solving generic overdetermined bilinear systems
John B. Baena, Daniel Cabarcas and Javier Verbel
2021doi: 10.3934/amc.2021047 +[Abstract](860) +[HTML](271) +[PDF](510.16KB)
Vandermonde sets, hyperovals and Niho bent functions
Kanat Abdukhalikov and Duy Ho
2021doi: 10.3934/amc.2021048 +[Abstract](788) +[HTML](263) +[PDF](372.77KB)
A survey on functional encryption
Carla Mascia, Massimiliano Sala and Irene Villa
2021doi: 10.3934/amc.2021049 +[Abstract](1698) +[HTML](541) +[PDF](715.11KB)
A multivariate identity-based broadcast encryption with applications to the internet of things
Vikas Srivastava, Sumit Kumar Debnath, Pantelimon Stǎnicǎ and Saibal Kumar Pal
2021doi: 10.3934/amc.2021050 +[Abstract](845) +[HTML](381) +[PDF](378.36KB)
Constructions of irredundant orthogonal arrays
Guangzhou Chen and Xiaotong Zhang
2021doi: 10.3934/amc.2021051 +[Abstract](676) +[HTML](271) +[PDF](414.57KB)
Nonexistence of some ternary linear codes with minimum weight -2 modulo 9
Toshiharu Sawashima and Tatsuya Maruta
2021doi: 10.3934/amc.2021052 +[Abstract](702) +[HTML](311) +[PDF](396.23KB)
Security analysis of public key encryption with filtered equality test
Yu-Chi Chen
2021doi: 10.3934/amc.2021053 +[Abstract](710) +[HTML](228) +[PDF](245.56KB)
Splitting authentication codes with perfect secrecy: New results, constructions and connections with algebraic manipulation detection codes
Maura B. Paterson and Douglas R. Stinson
2021doi: 10.3934/amc.2021054 +[Abstract](675) +[HTML](228) +[PDF](360.84KB)
A proof of the conjectured run time of the Hafner-McCurley class group algorithm
Jean-François Biasse and Muhammed Rashad Erukulangara
2021doi: 10.3934/amc.2021055 +[Abstract](1129) +[HTML](399) +[PDF](391.38KB)
Reversible $ G $-codes over the ring $ {\mathcal{F}}_{j,k} $ with applications to DNA codes
Yasemin Cengellenmis, Abdullah Dertli, Steven T. Dougherty, Adrian Korban, Serap Şahinkaya and Deniz Ustun
2021doi: 10.3934/amc.2021056 +[Abstract](804) +[HTML](239) +[PDF](381.17KB)
Rotational analysis of ChaCha permutation
Stefano Barbero, Emanuele Bellini and Rusydi H. Makarim
2021doi: 10.3934/amc.2021057 +[Abstract](637) +[HTML](223) +[PDF](393.56KB)
New nonexistence results on perfect permutation codes under the hamming metric
Xiang Wang and Wenjuan Yin
2021doi: 10.3934/amc.2021058 +[Abstract](775) +[HTML](229) +[PDF](316.62KB)
Generic constructions of MDS Euclidean self-dual codes via GRS codes
Ziteng Huang, Weijun Fang, Fang-Wei Fu and Fengting Li
2021doi: 10.3934/amc.2021059 +[Abstract](823) +[HTML](216) +[PDF](379.13KB)
Differential spectra of a class of power permutations with Niho exponents
Zhen Li and Haode Yan
2021doi: 10.3934/amc.2021060 +[Abstract](775) +[HTML](253) +[PDF](283.52KB)
Minimal codewords arising from the incidence of points and hyperplanes in projective spaces
Daniele Bartoli and Lins Denaux
2021doi: 10.3934/amc.2021061 +[Abstract](707) +[HTML](216) +[PDF](415.55KB)
Niederreiter cryptosystems using quasi-cyclic codes that resist quantum Fourier sampling
Upendra Kapshikar and Ayan Mahalanobis
2021doi: 10.3934/amc.2021062 +[Abstract](630) +[HTML](339) +[PDF](345.64KB)
Aperiodic/periodic complementary sequence pairs over quaternions
Zhen Li, Cuiling Fan, Wei Su and Yanfeng Qi
2021doi: 10.3934/amc.2021063 +[Abstract](759) +[HTML](226) +[PDF](394.85KB)
On the exponents of APN power functions and Sidon sets, sum-free sets, and Dickson polynomials
Claude Carlet and Stjepan Picek
2021doi: 10.3934/amc.2021064 +[Abstract](622) +[HTML](201) +[PDF](392.67KB)
Constructions of asymptotically optimal codebooks with respect to Welch bound and Levenshtein bound
Gang Wang, Deng-Ming Xu and Fang-Wei Fu
2021doi: 10.3934/amc.2021065 +[Abstract](819) +[HTML](237) +[PDF](327.24KB)
Classification of $ \mathbf{(3 \!\mod 5)} $ arcs in $ \mathbf{ \operatorname{PG}(3,5)} $
Sascha Kurz, Ivan Landjev and Assia Rousseva
2021doi: 10.3934/amc.2021066 +[Abstract](580) +[HTML](208) +[PDF](465.77KB)
Following Forrelation – quantum algorithms in exploring Boolean functions' spectra
Suman Dutta, Subhamoy Maitra and Chandra Sekhar Mukherjee
2022doi: 10.3934/amc.2021067 +[Abstract](749) +[HTML](187) +[PDF](716.29KB)
Rectangular, range, and restricted AONTs: Three generalizations of all-or-nothing transforms
Navid Nasr Esfahani and Douglas R. Stinson
2022doi: 10.3934/amc.2021068 +[Abstract](556) +[HTML](180) +[PDF](290.16KB)
The interplay of different metrics for the construction of constant dimension codes
Sascha Kurz
2022doi: 10.3934/amc.2021069 +[Abstract](532) +[HTML](288) +[PDF](424.08KB)
Construction for both self-dual codes and LCD codes
Keita Ishizuka and Ken Saito
2022doi: 10.3934/amc.2021070 +[Abstract](809) +[HTML](184) +[PDF](340.42KB)
Constructions of optimal low hit zone frequency hopping sequence sets with large family size
Xiujie Zhang, Xianhua Niu and Xin Tan
2022doi: 10.3934/amc.2021071 +[Abstract](597) +[HTML](350) +[PDF](368.67KB)
An algorithmic approach to entanglement-assisted quantum error-correcting codes from the Hermitian curve
René B. Christensen, Carlos Munuera, Francisco R. F. Pereira and Diego Ruano
2022doi: 10.3934/amc.2021072 +[Abstract](690) +[HTML](186) +[PDF](398.52KB)
New quantum codes from metacirculant graphs via self-dual additive $\mathbb{F}_4$-codes
Padmapani Seneviratne and Martianus Frederic Ezerman
2022doi: 10.3934/amc.2021073 +[Abstract](642) +[HTML](273) +[PDF](348.89KB)
Upper bounds on the length function for covering codes with covering radius $ R $ and codimension $ tR+1 $
Alexander A. Davydov, Stefano Marcugini and Fernanda Pambianco
2022doi: 10.3934/amc.2021074 +[Abstract](634) +[HTML](206) +[PDF](562.48KB)
An algorithm for solving over-determined multivariate quadratic systems over finite fields
Lih-Chung Wang, Tzer-jen Wei, Jian-Ming Shih, Yuh-Hua Hu and Chih-Cheng Hsieh
2022doi: 10.3934/amc.2022001 +[Abstract](474) +[HTML](164) +[PDF](411.61KB)
Galois LCD codes over rings
Zihui Liu
2022doi: 10.3934/amc.2022002 +[Abstract](523) +[HTML](150) +[PDF](369.28KB)
Two classes of cyclic extended double-error-correcting Goppa codes
Yanyan Gao, Qin Yue, Xinmei Huang and Yun Yang
2022doi: 10.3934/amc.2022003 +[Abstract](463) +[HTML](168) +[PDF](308.58KB)
Additive polycyclic codes over $ \mathbb{F}_{4} $ induced by binary vectors and some optimal codes
Arezoo Soufi Karbaski, Taher Abualrub, Nuh Aydin and Peihan Liu
2022doi: 10.3934/amc.2022004 +[Abstract](472) +[HTML](243) +[PDF](332.25KB)
Correcting adversarial errors with generalized regenerating codes
Negin Karimi, Ahmad Yousefian Darani and Marcus Greferath
2022doi: 10.3934/amc.2022005 +[Abstract](505) +[HTML](146) +[PDF](337.77KB)
Two pointsets in $ \mathrm{PG}(2,q^n) $ and the associated codes
Vito Napolitano, Olga Polverino, Paolo Santonastaso and Ferdinando Zullo
2022doi: 10.3934/amc.2022006 +[Abstract](446) +[HTML](138) +[PDF](504.56KB)
Computing square roots faster than the Tonelli-Shanks/Bernstein algorithm
Palash Sarkar
2022doi: 10.3934/amc.2022007 +[Abstract](429) +[HTML](150) +[PDF](479.35KB)
Balanced ($\mathbb{Z} _{2u}\times \mathbb{Z}_{38v}$, {3, 4, 5}, 1) difference packings and related codes
Hengming Zhao, Rongcun Qin and Dianhua Wu
2022doi: 10.3934/amc.2022008 +[Abstract](654) +[HTML](192) +[PDF](473.82KB)
The zero-error capacity of binary channels with 2-memories
Guofen Zhang, Ping Li, Jianfeng Hou and Bo Bai
2022doi: 10.3934/amc.2022009 +[Abstract](504) +[HTML](144) +[PDF](334.64KB)
On the generalised rank weights of quasi-cyclic codes
Enhui Lim and Frédérique Oggier
2022doi: 10.3934/amc.2022010 +[Abstract](444) +[HTML](132) +[PDF](354.83KB)
Infinite families of 2-designs from a class of affine-invariant codes
Yan Liu and Xiwang Cao
2022doi: 10.3934/amc.2022011 +[Abstract](388) +[HTML](128) +[PDF](372.56KB)
Finding small roots for bivariate polynomials over the ring of integers
Jiseung Kim and Changmin Lee
2022doi: 10.3934/amc.2022012 +[Abstract](395) +[HTML](147) +[PDF](330.88KB)
Parameterization of Boolean functions by vectorial functions and associated constructions
Claude Carlet
2022doi: 10.3934/amc.2022013 +[Abstract](394) +[HTML](118) +[PDF](435.79KB)
Self-orthogonal codes from equitable partitions of distance-regular graphs
Dean Crnković, Sanja Rukavina and Andrea Švob
2022doi: 10.3934/amc.2022014 +[Abstract](415) +[HTML](270) +[PDF](273.08KB)
On the polycyclic codes over $ \mathbb{F}_q+u\mathbb{F}_q $
Wei Qi
2022doi: 10.3934/amc.2022015 +[Abstract](525) +[HTML](146) +[PDF](321.82KB)
On some codes from rank 3 primitive actions of the simple Chevalley group $ G_2(q) $
Tung Le and Bernardo G. Rodrigues
2022doi: 10.3934/amc.2022016 +[Abstract](409) +[HTML](168) +[PDF](405.23KB)
On $ \mathbb{Z}_4\mathbb{Z}_4[u^3] $-additive constacyclic codes
Om Prakash, Shikha Yadav, Habibul Islam and Patrick Solé
2022doi: 10.3934/amc.2022017 +[Abstract](395) +[HTML](131) +[PDF](503.34KB)
On Polynomial Modular Number Systems over $ \mathbb{Z}/{p}\mathbb{Z} $
Jean-Claude Bajard, Jérémy Marrez, Thomas Plantard and Pascal Véron
2022doi: 10.3934/amc.2022018 +[Abstract](453) +[HTML](155) +[PDF](411.67KB)
Three constructions of Golay complementary array sets
Bingsheng Shen, Yang Yang and Ruibin Ren
2022doi: 10.3934/amc.2022019 +[Abstract](464) +[HTML](279) +[PDF](334.28KB)
Three weight ternary linear codes from non-weakly regular bent functions
Rumi Melih Pelen
2022doi: 10.3934/amc.2022020 +[Abstract](326) +[HTML](120) +[PDF](435.45KB)
Binary self-dual codes of various lengths with new weight enumerators from a modified bordered construction and neighbours
Joe Gildea, Adrian Korban, Adam M. Roberts and Alexander Tylyshchak
2022doi: 10.3934/amc.2022021 +[Abstract](309) +[HTML](107) +[PDF](335.58KB)
Reconstructing points of superelliptic curves over a prime finite field
Jaime Gutierrez
2022doi: 10.3934/amc.2022022 +[Abstract](476) +[HTML](111) +[PDF](378.25KB)
$\mathbb{F}_{p^{m}}\mathbb{F}_{p^{m}}{[u^2]}$-additive skew cyclic codes of length $2p^s $
Roghayeh Mohammadi Hesari, Mahboubeh Hosseinabadi, Rashid Rezaei and Karim Samei
2022doi: 10.3934/amc.2022023 +[Abstract](341) +[HTML](125) +[PDF](437.48KB)
Construction of three classes of strictly optimal frequency-hopping sequence sets
Xianhong Xie, Yi Ouyang, Honggang Hu and Ming Mao
2022doi: 10.3934/amc.2022024 +[Abstract](346) +[HTML](230) +[PDF](334.45KB)
Constructions of optimal multiply constant-weight codes MCWC$ (3,n_1;1,n_2;1,n_3;8)s $
Liying Pan, R. Julian R. Abel and Jinhua Wang
2022doi: 10.3934/amc.2022025 +[Abstract](305) +[HTML](232) +[PDF](587.29KB)
Quantum-safe identity-based broadcast encryption with provable security from multivariate cryptography
Ramprasad Sarkar, Mriganka Mandal and Sourav Mukhopadhyay
2022doi: 10.3934/amc.2022026 +[Abstract](394) +[HTML](167) +[PDF](669.04KB)
Some constructions of (almost) optimally extendable linear codes
Xiaoshan Quan, Qin Yue and Liqin Hu
2022doi: 10.3934/amc.2022027 +[Abstract](297) +[HTML](113) +[PDF](355.16KB)
Convolutional codes over finite chain rings, MDP codes and their characterization
Gianira N. Alfarano, Anina Gruica, Julia Lieb and Joachim Rosenthal
2022doi: 10.3934/amc.2022028 +[Abstract](1955) +[HTML](147) +[PDF](405.51KB)
On the hardness of the Lee syndrome decoding problem
Violetta Weger, Karan Khathuria, Anna-Lena Horlemann, Massimo Battaglioni, Paolo Santini and Edoardo Persichetti
2022doi: 10.3934/amc.2022029 +[Abstract](388) +[HTML](104) +[PDF](529.17KB)
Low-density and high-density asymmetric CT-burst correcting integer codes
Nabin Kumar Pokhrel and Pankaj Kumar Das
2022doi: 10.3934/amc.2022030 +[Abstract](416) +[HTML](104) +[PDF](400.66KB)
Public key cryptography based on twisted dihedral group algebras
Javier de la Cruz and Ricardo Villanueva-Polanco
2022doi: 10.3934/amc.2022031 +[Abstract](372) +[HTML](225) +[PDF](474.31KB)
New type I binary $[72, 36, 12]$ self-dual codes from $M_6(\mathbb{F}_2)G$ - Group matrix rings by a hybrid search technique based on a neighbourhood-virus optimisation algorithm
Adrian Korban, Serap Sahinkaya and Deniz Ustun
2022doi: 10.3934/amc.2022032 +[Abstract](265) +[HTML](134) +[PDF](973.08KB)
A novel genetic search scheme based on nature-inspired evolutionary algorithms for binary self-dual codes
Adrian Korban, Serap Şahinkaya and Deniz Ustun
2022doi: 10.3934/amc.2022033 +[Abstract](364) +[HTML](148) +[PDF](3600.92KB)
Constructions of optimal rank-metric codes from automorphisms of rational function fields
Rakhi Pratihar and Tovohery Hajatiana Randrianarisoa
2022doi: 10.3934/amc.2022034 +[Abstract](277) +[HTML](96) +[PDF](476.39KB)
Differential faultt attack on DEFAULT
Chandan Dey, Sumit Kumar Pandey, Tapabrata Roy and Santanu Sarkar
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Binary self-dual and LCD codes from generator matrices constructed from two group ring elements by a heuristic search scheme
Steven Dougherty, Adrian Korban, Serap Șahinkaya and Deniz Ustun
2022doi: 10.3934/amc.2022036 +[Abstract](236) +[HTML](116) +[PDF](327.95KB)
Optimal data placements for triple replication in distributed storage systems
Ruijing Liu and Junling Zhou
2022doi: 10.3934/amc.2022037 +[Abstract](192) +[HTML](74) +[PDF](408.63KB)
Loops, multi-edges and collisions in supersingular isogeny graphs
Wissam Ghantous
2022doi: 10.3934/amc.2022038 +[Abstract](193) +[HTML](73) +[PDF](441.53KB)
New constant dimension subspace codes from multilevel linkage construction
Huimin Lao and Hao Chen
2022doi: 10.3934/amc.2022039 +[Abstract](205) +[HTML](122) +[PDF](379.78KB)
Kite-group divisible packings and coverings with any minimum leave and minimum excess
Yuxing Yang, Yanxun Chang and Lidong Wang
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Constructions for several classes of few-weight linear codes and their applications
Canze Zhu and Qunying Liao
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Optimal binary linear codes from posets of the disjoint union of two chains
Yansheng Wu, Jong Yoon Hyun and Qin Yue
2022doi: 10.3934/amc.2022042 +[Abstract](193) +[HTML](81) +[PDF](290.19KB)
Infinite families of $ t $-designs and strongly regular graphs from punctured codes
Ziling Heng, Dexiang Li, Fenjin Liu and Weiqiong Wang
2022doi: 10.3934/amc.2022043 +[Abstract](165) +[HTML](82) +[PDF](437.0KB)
Another expression of the MacWilliams identities and its applications
Fengwei Li and Xuemei Wang
2022doi: 10.3934/amc.2022044 +[Abstract](142) +[HTML](71) +[PDF](375.37KB)
Compositional inverses of AGW-PPs –dedicated to professor cunsheng ding for his 60th birthday
Pingzhi Yuan
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Two classes of power mappings with boomerang uniformity 2
Haode Yan, Zhen Li, Zhitian Song and Rongquan Feng
2022doi: 10.3934/amc.2022046 +[Abstract](220) +[HTML](77) +[PDF](322.05KB)
Expressing the minimum distance, weight distribution and covering radius of codes by means of the algebraic and numerical normal forms of their indicators
Claude Carlet
2022doi: 10.3934/amc.2022047 +[Abstract](159) +[HTML](116) +[PDF](383.32KB)
Estimate of 4-adic complexity of unified quaternary sequences of length $ 2p $
Vladimir Edemskiy and Sofia Koltsova
2022doi: 10.3934/amc.2022048 +[Abstract](159) +[HTML](70) +[PDF](297.5KB)
on the 2-adic complexity of cyclotomic binary sequences of order three
Fuqing Sun, Qin Yue and Xia Li
2022doi: 10.3934/amc.2022049 +[Abstract](140) +[HTML](69) +[PDF](322.01KB)
Generic Construction of Boolean Functions with A Few Walsh Transform Values of Any Possible Algebraic Degree
Wengang Jin, Xiaoni Du, Wenling Wu and Zhixiong Chen
2022doi: 10.3934/amc.2022050 +[Abstract](218) +[HTML](83) +[PDF](438.12KB)
Constructions of symplectic LCD MDS codes from quasi-cyclic codes
Xia Huang, Jin Li and Shan Huang
2022doi: 10.3934/amc.2022051 +[Abstract](158) +[HTML](68) +[PDF](368.34KB)
Several new classes of optimal ternary cyclic codes with minimum distance four
Lisha Wang, Nian Li, Linjie Xu, Zhao Hu, Xiangyong Zeng and Liujie Nie
2022doi: 10.3934/amc.2022052 +[Abstract](152) +[HTML](157) +[PDF](327.57KB)
On binary LCD BCH codes of length $ \frac{{{2^m} + 1}}{3} $
Yuzhe Liu, Xiaoshan Kai and Shixin Zhu
2022doi: 10.3934/amc.2022053 +[Abstract](149) +[HTML](69) +[PDF](353.17KB)
New Classes of Asymptotically Optimal Spectrally-Constrained Sequences Derived from Cyclotomy
Zhifan Ye, Zhengchun Zhou, Yang Yang and Tor Helleseth
2022doi: 10.3934/amc.2022054 +[Abstract](131) +[HTML](149) +[PDF](511.77KB)
Linear complementary dual codes and double circulant codes over a semi-local ring
Xiangdong Cheng, Xiwang Cao and Liqin Qian
2022doi: 10.3934/amc.2022055 +[Abstract](155) +[HTML](57) +[PDF](349.4KB)
Bilateral multilevel construction of constant dimension codes
Shuhui Yu, Lijun Ji and Shuangqing Liu
2022doi: 10.3934/amc.2022056 +[Abstract](165) +[HTML](54) +[PDF](453.33KB)
Parameters of hulls of primitive binary narrow-sense BCH codes and their subcodes
Binkai Gong and Chengju Li
2022doi: 10.3934/amc.2022057 +[Abstract](142) +[HTML](52) +[PDF](398.15KB)
Maximal complete permutations over $ \mathbb{F}_2^n $
Xiaofang Xu, Lisha Li, Bing Chen and Xiangyong Zeng
2022doi: 10.3934/amc.2022058 +[Abstract](144) +[HTML](58) +[PDF](413.95KB)
Two classes of LDPC codes from the space of hermitian matrices over finite fields
Meng Zhao, Changli Ma, Yanan Feng and Qi Wang
2022doi: 10.3934/amc.2022059 +[Abstract](120) +[HTML](56) +[PDF](339.17KB)
Representation and matrix-product structure of Type-1 constacyclic codes over $ \mathbb{F}_{p^m}[u]/\langle u^e\rangle $
Yuan Cao, Yonglin Cao, Hai Q. Dinh and Fanghui Ma
2022doi: 10.3934/amc.2022060 +[Abstract](132) +[HTML](60) +[PDF](559.04KB)
Constructions of balanced (N, M, {4, 5}, 1;2) Multilength Variable-Weight optical orthogonal codes
Hengming Zhao, Rongcun Qin and Dianhua Wu
2022doi: 10.3934/amc.2022061 +[Abstract](138) +[HTML](50) +[PDF](382.48KB)
The punctured codes of two classes of cyclic codes with few weights
Qinqin Ji, Dabin Zheng and Xiaoqiang Wang
2022doi: 10.3934/amc.2022062 +[Abstract](147) +[HTML](57) +[PDF](404.88KB)
Some shortened codes from linear codes constructed by defining sets
Can Xiang, Chunming Tang and Min Guo
2022doi: 10.3934/amc.2022063 +[Abstract](155) +[HTML](55) +[PDF](314.86KB)
On the computational hardness of the code equivalence problem in cryptography
Alessandro Barenghi, Jean-François Biasse, Edoardo Persichetti and Paolo Santini
2022doi: 10.3934/amc.2022064 +[Abstract](112) +[HTML](42) +[PDF](675.46KB)
Niederreiter-Rosenbloom-Tsfasman LCD codes
Heqian Xu, Guangkui Xu and Wei Du
2022doi: 10.3934/amc.2022065 +[Abstract](126) +[HTML](53) +[PDF](375.98KB)
Weierstrass semigroups on the third function field in a tower attaining the Drinfeld-Vlăduţ bound
Shudi Yang and Chuangqiang Hu
2022doi: 10.3934/amc.2022066 +[Abstract](91) +[HTML](51) +[PDF](563.5KB)
Steiner systems $ S(2,4, 2^m) $ supported by a family of extended cyclic codes
Qi Wang
2022doi: 10.3934/amc.2022067 +[Abstract](104) +[HTML](54) +[PDF](391.04KB)
Dembowski-Ostrom polynomials and Dickson polynomials
Sartaj Ul Hasan and Mohit Pal
2022doi: 10.3934/amc.2022068 +[Abstract](175) +[HTML](48) +[PDF](396.05KB)
Some new quantum MDS codes derived from generalized Reed-Solomon codes
Xueying Shi and Qin Yue
2022doi: 10.3934/amc.2022069 +[Abstract](83) +[HTML](53) +[PDF](466.68KB)
Two new classes of Hermitian self-orthogonal non-GRS MDS codes and their applications
Gaojun Luo, Xiwang Cao, Martianus Frederic Ezerman and San Ling
2022doi: 10.3934/amc.2022070 +[Abstract](62) +[HTML](60) +[PDF](434.15KB)
Ternary perfect sequences with three-valued cross-correlation
Chenchen Liu, Wenyi Zhang and Yang Yang
2022doi: 10.3934/amc.2022071 +[Abstract](70) +[HTML](32) +[PDF](409.31KB)
Spectral distribution of random matrices from mutually unbiased bases
Chin Hei Chan and Maosheng Xiong
2022doi: 10.3934/amc.2022072 +[Abstract](64) +[HTML](39) +[PDF](472.07KB)
Cyclic codes over rings of matrices
Hai Quang Dinh, Atul Gaur, Pratyush Kumar, Manoj Kumar Singh and Abhay Kumar Singh
2022doi: 10.3934/amc.2022073 +[Abstract](80) +[HTML](29) +[PDF](527.51KB)
New constructions of large cyclic subspace codes via Sidon spaces
Minyao Niu, Jinghua Xiao and You Gao
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A note on the $ c $-differential spectrum of an AP$ c $N function
Tingting Pang, Nian Li, Xiangyong Zeng and Haiying Zhu
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DNA codes from skew dihedral group ring
Steven Dougherty, Adrian Korban, Serap Şahinkaya and Deniz Ustun
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Post-quantum secure fully-dynamic logarithmic-size deniable group signature in code-based setting
Jayashree Dey and Ratna Dutta
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New bound and constructions for geometric orthogonal codes and geometric 180-rotating orthogonal codes
Xiaowei Su, Lidong Wang and Zihong Tian
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$ \mathbb{Z}_{p^r}\mathbb{Z}_{p^s}\mathbb{Z}_{p^t} $-additive cyclic codes
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An algorithm for generalized syndrome decoding problem
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A new almost perfect nonlinear function which is not quadratic
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A new family of linear maximum rank distance codes
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Public key cryptography based on semigroup actions
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A review of the available construction methods for Golomb rulers
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Critical perspectives on provable security: Fifteen years of "another look" papers
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Cryptographically significant mds matrices over finite fields: A brief survey and some generalized results
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Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves
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2021 Impact Factor: 1.015
5 Year Impact Factor: 1.078
2021 CiteScore: 1.8




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