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On blocking sets in projective Hjelmslev planes
A new upper bound on the rate of non-binary codes
1. | School of Electrical Engineering, Tel Aviv University, Tel Aviv 69978, Israel, Israel |
[1] |
Beniamin Mounits, Tuvi Etzion, Simon Litsyn. New upper bounds on codes via association schemes and linear programming. Advances in Mathematics of Communications, 2007, 1 (2) : 173-195. doi: 10.3934/amc.2007.1.173 |
[2] |
Ye Wang, Ran Tao. Constructions of linear codes with small hulls from association schemes. Advances in Mathematics of Communications, 2022, 16 (2) : 349-364. doi: 10.3934/amc.2020114 |
[3] |
Jean Creignou, Hervé Diet. Linear programming bounds for unitary codes. Advances in Mathematics of Communications, 2010, 4 (3) : 323-344. doi: 10.3934/amc.2010.4.323 |
[4] |
Ali Tebbi, Terence Chan, Chi Wan Sung. Linear programming bounds for distributed storage codes. Advances in Mathematics of Communications, 2020, 14 (2) : 333-357. doi: 10.3934/amc.2020024 |
[5] |
Idan Goldenberg, David Burshtein. Error bounds for repeat-accumulate codes decoded via linear programming. Advances in Mathematics of Communications, 2011, 5 (4) : 555-570. doi: 10.3934/amc.2011.5.555 |
[6] |
Steven T. Dougherty, Jon-Lark Kim, Patrick Solé. Double circulant codes from two class association schemes. Advances in Mathematics of Communications, 2007, 1 (1) : 45-64. doi: 10.3934/amc.2007.1.45 |
[7] |
Daniel Heinlein, Ferdinand Ihringer. New and updated semidefinite programming bounds for subspace codes. Advances in Mathematics of Communications, 2020, 14 (4) : 613-630. doi: 10.3934/amc.2020034 |
[8] |
Christine Bachoc, Alberto Passuello, Frank Vallentin. Bounds for projective codes from semidefinite programming. Advances in Mathematics of Communications, 2013, 7 (2) : 127-145. doi: 10.3934/amc.2013.7.127 |
[9] |
Yanqun Liu, Ming-Fang Ding. A ladder method for linear semi-infinite programming. Journal of Industrial and Management Optimization, 2014, 10 (2) : 397-412. doi: 10.3934/jimo.2014.10.397 |
[10] |
Yi Xu, Wenyu Sun. A filter successive linear programming method for nonlinear semidefinite programming problems. Numerical Algebra, Control and Optimization, 2012, 2 (1) : 193-206. doi: 10.3934/naco.2012.2.193 |
[11] |
Yvo Desmedt, Niels Duif, Henk van Tilborg, Huaxiong Wang. Bounds and constructions for key distribution schemes. Advances in Mathematics of Communications, 2009, 3 (3) : 273-293. doi: 10.3934/amc.2009.3.273 |
[12] |
Yue Zheng, Zhongping Wan, Shihui Jia, Guangmin Wang. A new method for strong-weak linear bilevel programming problem. Journal of Industrial and Management Optimization, 2015, 11 (2) : 529-547. doi: 10.3934/jimo.2015.11.529 |
[13] |
Yanqun Liu. An exterior point linear programming method based on inclusive normal cones. Journal of Industrial and Management Optimization, 2010, 6 (4) : 825-846. doi: 10.3934/jimo.2010.6.825 |
[14] |
Ferruh Özbudak, Patrick Solé. Gilbert-Varshamov type bounds for linear codes over finite chain rings. Advances in Mathematics of Communications, 2007, 1 (1) : 99-109. doi: 10.3934/amc.2007.1.99 |
[15] |
Yibing Lv, Tiesong Hu, Jianlin Jiang. Penalty method-based equilibrium point approach for solving the linear bilevel multiobjective programming problem. Discrete and Continuous Dynamical Systems - S, 2020, 13 (6) : 1743-1755. doi: 10.3934/dcdss.2020102 |
[16] |
Charles Fefferman. Interpolation by linear programming I. Discrete and Continuous Dynamical Systems, 2011, 30 (2) : 477-492. doi: 10.3934/dcds.2011.30.477 |
[17] |
Olav Geil, Carlos Munuera, Diego Ruano, Fernando Torres. On the order bounds for one-point AG codes. Advances in Mathematics of Communications, 2011, 5 (3) : 489-504. doi: 10.3934/amc.2011.5.489 |
[18] |
San Ling, Buket Özkaya. New bounds on the minimum distance of cyclic codes. Advances in Mathematics of Communications, 2021, 15 (1) : 1-8. doi: 10.3934/amc.2020038 |
[19] |
Christine A. Kelley, Deepak Sridhara. Eigenvalue bounds on the pseudocodeword weight of expander codes. Advances in Mathematics of Communications, 2007, 1 (3) : 287-306. doi: 10.3934/amc.2007.1.287 |
[20] |
Karim Samei, Saadoun Mahmoudi. Singleton bounds for R-additive codes. Advances in Mathematics of Communications, 2018, 12 (1) : 107-114. doi: 10.3934/amc.2018006 |
2020 Impact Factor: 0.935
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