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 … 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 …
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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... 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.
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 ... 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 · 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.
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 …
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 … chkdsk read-only modeWebMar 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 ) … grass on antarcticaWebJan 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... chkdsk r cannot open volume for direct accessWebElectronics Hub - Tech Reviews Guides & How-to Latest Trends grass on bloxburgWebFeb 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 … chkdsk powershell commandWebMar 20, 2024 · Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes. Abstract: Linear complementary dual (LCD) codes and self-orthogonal codes have … grass on a hillWebNov 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 … grass on a roll