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 … WebOct 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 …
Optimal binary lcd codes
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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 … 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 18, 2024 · Non-overlapping codes have been studied for almost 60 years. In such a code, no proper, non-empty prefix of any codeword is a suffix of any codeword. In this paper, we study codes in which overlaps of certain specified sizes are forbidden. We prove some general bounds and we give several constructions in the case of binary codes. 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 …
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 … 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.
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 …
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 … how to repair office chair armrestWebMar 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 ) … northampton county courthouse child supportWebJun 10, 2024 · We show that all odd-like binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes can be constructed using the modified methods. We also construct a lot of optimal binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes, which improve the known lower bounds on the largest minimum weights. northampton county court filingWebMar 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 … northampton county courthouse divorcehttp://info.fmi.shu-bg.net/skin/pfiles/3_9_p13_c2_lcd_v0.5.pdf northampton county court money claims addressWebOct 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. … how to repair old asphalt drivewayWebAug 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 … how to repair office chair hydraulic