Special LCD Codes from Peisert and Generalized Peisert Graphs
Sign Up to like & getrecommendations! Published in 2019 at "Graphs and Combinatorics"
DOI: 10.1007/s00373-019-02019-0
Abstract: We examine binary and ternary codes from adjacency matrices of the Peisert graphs, $${\mathcal {P}}^*(q)$$P∗(q), and the generalized Peisert graphs, $$G{\mathcal {P}}^*(q)$$GP∗(q), in particular those instances where the code is LCD and the dual of… read more here.
Keywords: lcd codes; generalized peisert; peisert graphs; special lcd ... See more keywords
Some bounds on binary LCD codes
Sign Up to like & getrecommendations! Published in 2017 at "Cryptography and Communications"
DOI: 10.1007/s12095-017-0258-1
Abstract: A linear code with a complementary dual (or An LCD code) is defined to be a linear code C whose dual code C⊥ satisfies C ∩ C⊥= 0$\left \{ \mathbf {0}\right \} $. Let LD… read more here.
Keywords: lcd codes; binary lcd; bounds binary; code ... See more keywords
Some new bounds on LCD codes over finite fields
Sign Up to like & getrecommendations! Published in 2020 at "Cryptography and Communications"
DOI: 10.1007/s12095-019-00417-y
Abstract: In this paper, we show that LCD codes are not equivalent to non-LCD codes over small finite fields. The enumeration of binary optimal LCD codes is obtained. We also get the exact value of LD(… read more here.
Keywords: bounds lcd; new bounds; codes finite; finite fields ... See more keywords
Binary LCD Codes and Self-Orthogonal Codes via Simplicial Complexes
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Communications Letters"
DOI: 10.1109/lcomm.2020.2982381
Abstract: Linear complementary dual (LCD) codes and self-orthogonal codes have attracted wide attention in recent years for some practical applications. Hence, in this letter, we use simplicial complexes for construction of an infinite family of binary… read more here.
Keywords: codes self; self orthogonal; lcd codes; binary lcd ... See more keywords
New Constructions of MDS Codes With Complementary Duals
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2017.2748955
Abstract: Linear complementary-dual (LCD for short) codes are linear codes that intersect with their duals trivially. LCD codes have been used in certain communication systems. It is recently found that LCD codes can be applied in… read more here.
Keywords: mds codes; constructions mds; lcd codes; lcd mds ... See more keywords
Explicit MDS Codes With Complementary Duals
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2018.2816934
Abstract: In 1964, Massey introduced a class of codes with complementary duals which are called linear complimentary dual (LCD) codes. He showed that LCD codes have applications in communication system, side-channel attack and so on. LCD… read more here.
Keywords: mds codes; lcd codes; codes complementary; explicit mds ... See more keywords
On the Construction of Quantum and LCD Codes from Cyclic Codes over the Finite Commutative Rings
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DOI: 10.3390/axioms12040367
Abstract: Let Fq be a field of order q, where q is a power of an odd prime p, and α and β are two non-zero elements of Fq. The primary goal of this article is… read more here.
Keywords: quantum lcd; cyclic codes; construction quantum; lcd codes ... See more keywords