Optimal binary lcd codes
WebElectronics Hub - Tech Reviews Guides & How-to Latest Trends 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...
Optimal binary lcd codes
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WebJun 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. WebNov 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 …
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. 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. …
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 … 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 …
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 ...
WebJun 5, 2015 · The optimal LCD [7,3], [8,4], [9, 5], and [10,6] codes have minimum weight 3 [9], and according to the above computations, the corresponding LCD [28+ i, 6+ i] codes will have minimum... how to remove input type number arrowWebMar 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 … how to remove input outline in cssWebOct 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 … norfolk and waveney cellular pathologyWebOct 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, … norfolk and waveney ccg websitenorfolk and waveney ccg lakesideWebLinear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. These codes were first introduced by … norfolk and waveney ccg addressWebNov 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 … norfolk and waveney ccg formulary