Results 1 to 10 of about 168,087 (140)
Explicit MDS Codes with Complementary Duals [PDF]
IEEE Transactions on Information Theory, 2017 In 1964, Massey introduced a class of codes with complementary duals which are called Linear Complimentary Dual (LCD for short) codes. He showed that LCD codes have applications in communication system, side-channel attack (SCA) and so on. LCD codes have
Beelen, Peter, Jin, Lingfei
core +5 more sources
Symplectic QSD, LCD, and ACD Codes over a Non-Commutative Non-Unitary Ring of Order Nine [PDF]
EntropyWe introduce quasi self-dual (QSD), linear complementary dual (LCD), and additive complementary dual (ACD) codes for the symplectic inner product over a non-commutative non-unitary ring of order 9. We establish connections with symplectic–self-orthogonal
Sarra Manseri +3 more
doaj +2 more sources
New constructions of MDS codes with complementary duals [PDF]
IEEE Transactions on Information Theory, 2017 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 cryptography. This application of
Chen, Bocong, Liu, Hongwei
core +2 more sources
Quasi-Cyclic Complementary Dual Code
Finite Fields and Their Applications, 2015 LCD codes are linear codes that intersect with their dual trivially. Quasi cyclic codes that are LCD are characterized and studied by using their concatenated structure. Some asymptotic results are derived.
Güneri, Cem +2 more
core +5 more sources
Quaternary Hermitian Linear Complementary Dual Codes [PDF]
IEEE Transactions on Information Theory, 2020 24 pages, some corrections are ...
Makoto Araya, Masaaki Harada
exaly +3 more sources
Binary linear complementary dual codes [PDF]
Cryptography and Communications, 2018 28 ...
Masaaki Harada
exaly +4 more sources
On the classification of linear complementary dual codes [PDF]
Discrete Mathematics, 2019 We give a complete classification of binary linear complementary dual codes of lengths up to $13$ and ternary linear complementary dual codes of lengths up to $10$.
Makoto Araya, Masaaki Harada
exaly +4 more sources
Affine Cartesian codes with complementary duals
Finite Fields and Their Applications, 2018 A linear code $C$ with the property that $C \cap C^{\perp} = \{0 \}$ is said to be a linear complementary dual, or LCD, code. In this paper, we consider generalized affine Cartesian codes which are LCD.
López, Hiram H. +2 more
core +3 more sources
Self-Dual and Complementary Dual Abelian Codes over Galois Rings [PDF]
Journal of Algebra Combinatorics Discrete Structures and Applications, 2019 Self-dual and complementary dual cyclic/abelian codes over finite fields form important classes of linear codes that have been extensively studied due to their rich algebraic structures and wide applications.
Jitman, Somphong, Ling, San
core +9 more sources
Complementary Dual Algebraic Geometry Codes [PDF]
IEEE Transactions on Information Theory, 2018 Linear complementary dual (LCD) codes is a class of linear codes introduced by Massey in 1964. LCD codes have been extensively studied in literature recently. In addition to their applications in data storage, communications systems, and consumer electronics, LCD codes have been employed in cryptography.
Sihem Mesnager +2 more
exaly +4 more sources