Optimal binary lcd codes
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 20, 2024 · Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes. Abstract: Linear complementary dual (LCD) codes and self-orthogonal codes have …
Optimal binary lcd codes
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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... 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 …
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. 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 …
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. WebOct 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 …
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 …
WebElectronics Hub - Tech Reviews Guides & How-to Latest Trends portland oregon hazelwood areaWebLinear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. These codes were first introduced by … portland oregon health clubsWebMar 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 … optimism definition dictionaryWebMar 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 … portland oregon health insurance companiesWebOct 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 … portland oregon hedge fund data companyWebThe 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 … portland oregon heater repairhttp://info.fmi.shu-bg.net/skin/pfiles/3_9_p13_c2_lcd_v0.5.pdf portland oregon health food stores