Optimal binary lcd codes
WebMar 20, 2024 · Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes. Abstract: Linear complementary dual (LCD) codes and self-orthogonal codes have … 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.
Optimal binary lcd codes
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WebA binary code represents text, computer processor instructions, or any other data using a two-symbol system. The two-symbol system used is often "0" and "1" from the binary … 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 …
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 … 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. …
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 ... 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 …
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 …
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 … cygames hpWebAug 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 … cygames githubcygames cyberagenthttp://info.fmi.shu-bg.net/skin/pfiles/3_9_p13_c2_lcd_v0.5.pdf cy gabriel wonder soapWebJan 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... cygames hosting fighting gameWebMar 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 ) … cygames gachaWebThe 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 … cygames ip