Optimal binary lcd codes

WebOct 26, 2024 · Optimal Binary LCD Codes Stefka Bouyuklieva Linear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual …

[2010.13399] Optimal Binary LCD Codes - arXiv.org

WebMar 20, 2024 · Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes. Abstract: Linear complementary dual (LCD) codes and self-orthogonal codes have … WebMar 17, 2024 · Furthermore, a binary [n,k,d] LCD code C is called LCD distance optimal if there is no [n,k,d+1] LCD code (that is, this LCD code has the largest minimum distance among [n,k] LCD codes for given length n … population in fort mcmurray https://yahangover.com

LCD codes, automorphism 94B05

http://info.fmi.shu-bg.net/skin/pfiles/3_9_p13_c2_lcd_v0.5.pdf WebAug 9, 2024 · Optimal Binary LCD Codes S. Bouyuklieva Computer Science Des. Codes Cryptogr. 2024 TLDR Some properties of binary LCD codes using their shortened and punctured codes are proved and some inequalities are presented for the largest minimum weight and two tables with classification results are given. 15 PDF View 3 excerpts, cites … WebJan 16, 2024 · The enumeration of binary optimal LCD codes is obtained and the bound of LCD codes over F q is studied and generalize a conjecture proposed by Galvez et al. about the minimum distance of binary LCD codes. 11 PDF View 1 excerpt Several constructions of optimal LCD codes over small finite fields Shitao Li, M. Shi, Huizhou Liu Computer Science … population ingham county mi

Binary LCD Codes and Self-Orthogonal Codes via Simplicial …

Category:[2302.00906] New Constructions of Optimal Binary LCD …

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Optimal binary lcd codes

New Constructions of Optimal Binary LCD Codes DeepAI

WebOct 26, 2024 · Optimal Binary LCD Codes. Linear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. … WebOct 11, 2024 · Optimal binary LCD codes S. Bouyuklieva Computer Science Designs, Codes and Cryptography 2024 TLDR This paper proves some properties of binary LCD codes …

Optimal binary lcd codes

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WebLinear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. These codes were first introduced by … WebFeb 3, 2024 · Some of the binary LCD codes presented in this paper are optimal. These binary LCD codes have applications in armoring implementations against so-called side-channel attacks (SCA) and fault non-invasive attacks, in addition to their applications in communication and data storage systems.

WebFeb 2, 2024 · Linear complementary dual (LCD) codes can provide an optimum linear coding solution for the two-user binary adder channel. LCD codes also can be used to against … WebThe optimal binary LCD codes of length n≤16 are presented in [6] and all values of d LCD(n,k) for binary codes of lengths n≤40 are known [2]. Different methods have been used to study, construct and classify LCD codes with different parameters over different finite fields (see [6] and [5]). A method for constructing LCD binary codes via ...

WebJan 1, 2024 · The largest minimum weights among all binary LCD [n, k] codes were partially determined in [3,8,16,17,25,28] for n ≤ 40. It is worth noting that there are many unknowns in [8] and [28]. The... WebIn this paper, the problem of finding LCD codes over the binary field is discussed. Many new codes and new bounds are presented, as well as a table of optimal LCD codes (or upper …

WebNov 1, 2024 · LCD codes were introduced by Massey [ 15] and gave an optimum linear coding solution for the two user binary adder channel. The classification of LCD …

WebFeb 2, 2024 · Linear complementary dual (LCD) codes can provide an optimum linear coding solution for the two-user binary adder channel. LCD codes also can be used to against … shark tank pashion footwearhttp://info.fmi.shu-bg.net/skin/pfiles/3_9_p13_c2_lcd_v0.5.pdf shark tank peanut butter puffsWebOct 26, 2024 · Optimal Binary LCD Codes Stefka Bouyuklieva Linear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. These codes were first introduced by Massey in 1964. Nowadays, LCD codes are extensively studied in the literature and widely applied in data storage, … population in greece 2022WebMar 2, 2024 · Binary is a base-2 number system representing numbers using a pattern of ones and zeroes. Early computer systems had mechanical switches that turned on to … population inglewood caWebOct 26, 2024 · Nowadays, LCD codes are extensively studied in the literature and widely applied in data storage, cryptography, etc. In this paper, we prove some properties of … population in grassland biomeWebNov 1, 2024 · Linear complementary dual codes (shortly LCD codes) are codes whose intersections with their dual codes are trivial. These codes were first introduced by … shark tank peoples design bowlWebThe optimal binary LCD codes of length n≤16 are presented in [6] and all values of d LCD(n,k) for binary codes of lengths n≤40 are known [2]. Different methods have been … population in grass valley ca