On the Construction of LCD Codes overF₅

Abstract

Abstract.Recently, linear codes with complementary dual (LCD codes) are employed in direct-sum-masking technique for prevention of side channel attacks, which is another application on LCD codes out of data storage, communication system and consumer electronics. Follow on, they are also used to construct maximal entanglement entanglement-assisted quantum codes for protecting quantum information from noise. In this paper, by transforming known codes, some optimal LCD codes of short length with dimension 3 or 4 over 5 F are constructed, respectively.

Constructions of symplectic LCD MDS codes from quasi-cyclic codes

“…Sendrier [17] proved that LCD codes meet the asymptotic Gilbert-Varshamov bound. After that constructions of LCD codes have aroused the interest of researchers [21,11,2,18,5,4], and the notion of LCD codes was researched with respect to other inner products. Güneri et al have proved in [8] that Hermitian LCD codes are asymptotically good.…”