Optimal binary lcd codes
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 ... 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 …
Optimal binary lcd codes
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WebSep 6, 2024 · We call the LCD codes with parameters [n,k,d_ {LCD} (n, k)] optimal LCD codes. Binary optimal LCD codes have been classified up to length 16 in [ 12 ]. In [ 1 ], all values of d_ {LCD} (n, k) for n\le 24 are obtained and some classification results on LCD codes with … http://info.fmi.shu-bg.net/skin/pfiles/3_9_p13_c2_lcd_v0.5.pdf
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... 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 …
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 … WebMar 20, 2024 · We obtain binary LCD codes which have minimum weights two or three, and we also find some self-orthogonal codes meeting the Griesmer bound. As examples, we also present some (almost) optimal binary self-orthogonal codes and LCD distance optimal codes. Published in: IEEE Communications Letters ( Volume: 24 , Issue: 6 , June 2024 ) …
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.
http://info.fmi.shu-bg.net/skin/pfiles/3_9_p13_c2_lcd_v0.5.pdf chrysalis club hexhamWebNov 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 … chrysalis clothingWebIn 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 … derrick henry stiff arms josh normanWebOct 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 … derrick henry throwWebNov 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 … chrysalis clubWebMar 20, 2024 · Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes. Abstract: Linear complementary dual (LCD) codes and self-orthogonal codes have … derrick henry throws touchdownWebOct 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, … derrick henry throwing josh norman