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On an improved correlation analysis of stream ciphers using multioutput Boolean functions and the related generalized notion of nonlinearity
1.  Université Paris 8, Département de mathématiques, 2, rue de la Liberté, 93526  SAINTDENIS cedex 02, France 
2.  DSO National Laboratories, 20 Science Park Drive S118230, Singapore, Singapore, Singapore 
[1] 
Jian Liu, Sihem Mesnager, Lusheng Chen. Variation on correlation immune Boolean and vectorial functions. Advances in Mathematics of Communications, 2016, 10 (4) : 895919. doi: 10.3934/amc.2016048 
[2] 
Yang Yang, Xiaohu Tang, Guang Gong. Even periodic and odd periodic complementary sequence pairs from generalized Boolean functions. Advances in Mathematics of Communications, 2013, 7 (2) : 113125. doi: 10.3934/amc.2013.7.113 
[3] 
Sihem Mesnager, Gérard Cohen. Fast algebraic immunity of Boolean functions. Advances in Mathematics of Communications, 2017, 11 (2) : 373377. doi: 10.3934/amc.2017031 
[4] 
Claude Carlet, Serge Feukoua. Three basic questions on Boolean functions. Advances in Mathematics of Communications, 2017, 11 (4) : 837855. doi: 10.3934/amc.2017061 
[5] 
Kyril Tintarev. Is the TrudingerMoser nonlinearity a true critical nonlinearity? . Conference Publications, 2011, 2011 (Special) : 13781384. doi: 10.3934/proc.2011.2011.1378 
[6] 
Xingxing Liu, Zhijun Qiao, Zhaoyang Yin. On the Cauchy problem for a generalized CamassaHolm equation with both quadratic and cubic nonlinearity. Communications on Pure & Applied Analysis, 2014, 13 (3) : 12831304. doi: 10.3934/cpaa.2014.13.1283 
[7] 
QHeung Choi, Tacksun Jung. A nonlinear wave equation with jumping nonlinearity. Discrete & Continuous Dynamical Systems  A, 2000, 6 (4) : 797802. doi: 10.3934/dcds.2000.6.797 
[8] 
Eugenia N. Petropoulou. On some difference equations with exponential nonlinearity. Discrete & Continuous Dynamical Systems  B, 2017, 22 (7) : 25872594. doi: 10.3934/dcdsb.2017098 
[9] 
Yu Zhou. On the distribution of autocorrelation value of balanced Boolean functions. Advances in Mathematics of Communications, 2013, 7 (3) : 335347. doi: 10.3934/amc.2013.7.335 
[10] 
Kyril Tintarev. Positive solutions of elliptic equations with a critical oscillatory nonlinearity. Conference Publications, 2007, 2007 (Special) : 974981. doi: 10.3934/proc.2007.2007.974 
[11] 
Guillaume Warnault. Regularity of the extremal solution for a biharmonic problem with general nonlinearity. Communications on Pure & Applied Analysis, 2009, 8 (5) : 17091723. doi: 10.3934/cpaa.2009.8.1709 
[12] 
Zongming Guo, Long Wei. A fourth order elliptic equation with a singular nonlinearity. Communications on Pure & Applied Analysis, 2014, 13 (6) : 24932508. doi: 10.3934/cpaa.2014.13.2493 
[13] 
Monica Musso, Donato Passaseo. Multiple solutions of Neumann elliptic problems with critical nonlinearity . Discrete & Continuous Dynamical Systems  A, 1999, 5 (2) : 301320. doi: 10.3934/dcds.1999.5.301 
[14] 
Giuseppe Maria Coclite, Mario Michele Coclite. On a Dirichlet problem in bounded domains with singular nonlinearity. Discrete & Continuous Dynamical Systems  A, 2013, 33 (11/12) : 49234944. doi: 10.3934/dcds.2013.33.4923 
[15] 
Ian Schindler, Kyril Tintarev. Mountain pass solutions to semilinear problems with critical nonlinearity. Conference Publications, 2007, 2007 (Special) : 912919. doi: 10.3934/proc.2007.2007.912 
[16] 
Manuel del Pino, Jean Dolbeault, Monica Musso. Multiple bubbling for the exponential nonlinearity in the slightly supercritical case. Communications on Pure & Applied Analysis, 2006, 5 (3) : 463482. doi: 10.3934/cpaa.2006.5.463 
[17] 
Jong Uhn Kim. On the stochastic Burgers equation with a polynomial nonlinearity in the real line . Discrete & Continuous Dynamical Systems  B, 2006, 6 (4) : 835866. doi: 10.3934/dcdsb.2006.6.835 
[18] 
Nakao Hayashi, Tohru Ozawa. Schrödinger equations with nonlinearity of integral type. Discrete & Continuous Dynamical Systems  A, 1995, 1 (4) : 475484. doi: 10.3934/dcds.1995.1.475 
[19] 
Xianling Fan, Yuanzhang Zhao, Guifang Huang. Existence of solutions for the $p$Laplacian with crossing nonlinearity. Discrete & Continuous Dynamical Systems  A, 2002, 8 (4) : 10191024. doi: 10.3934/dcds.2002.8.1019 
[20] 
A. Adam Azzam. Scattering for the two dimensional NLS with (full) exponential nonlinearity. Communications on Pure & Applied Analysis, 2018, 17 (3) : 10711101. doi: 10.3934/cpaa.2018052 
2016 Impact Factor: 0.8
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