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. 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 …

Construction for both self-dual codes and LCD codes

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. asta plus adalah

Optimal binary LCD codes Designs, Codes and …

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 … WebMar 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 … 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 … asta rheinahrcampus