Results 11 to 20 of about 4,270,277 (317)
SensorsA novel dual-message QR code is proposed for carrying two individual messages that can be read by standard QR code readers: one from a close range and the other from a large distance.
Kuo-Chien Chou, Ran-Zan Wang
doaj +3 more sources
, 2002 Self-dual codes are important because many of the best codes known are of this type and they have a rich mathematical theory. Topics covered in this survey include codes over F_2, F_3, F_4, F_q, Z_4, Z_m, shadow codes, weight enumerators, Gleason-Pierce ...
Rains, E. M., Sloane, N. J. A.
core +3 more sources
New families of self-dual codes [PDF]
Designs, Codes and Cryptography, 2020 Recently, the author has constructed families of MDS Euclidean self-dual codes from genus zero algebraic geometry (AG) codes. In the present correspondence, more families of optimal Euclidean self-dual codes from AG codes are explored.
Lin Sok
semanticscholar +1 more source
Self-Dual Codes, Symmetric Matrices, and Eigenvectors
IEEE Access, 2021 We introduce a consistent and efficient method to construct self-dual codes over $GF(q)$ using symmetric matrices and eigenvectors from a self-dual code over $GF(q)$ of smaller length where $q \equiv 1 \pmod 4$ . Using this method, which is called a
Jon-Lark Kim, Whan-Hyuk Choi
doaj +1 more source
Extremal Binary and Ternary Codes of Length 60 with an Automorphism of Order 29 and a Generalization
Mathematics, 2022 In this paper, all extremal Type I and Type III codes of length 60 with an automorphism of order 29 are classified up to equivalence. In both cases, it has been proven that there are three inequivalent codes.
Stefka Bouyuklieva +2 more
doaj +1 more source
On Reversibility and Self-Duality for Some Classes of Quasi-Cyclic Codes
IEEE Access, 2020 In this work, we study two classes of quasi-cyclic (QC) codes and examine how several properties can be combined into the codes of these classes. We start with the class of QC codes generated by diagonal generator polynomial matrices; a QC code in this ...
Ramy Taki Eldin, Hajime Matsui
doaj +1 more source
Self-Dual and Complementary Dual Abelian Codes over Galois Rings [PDF]
, 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 +3 more sources
Binary linear complementary dual codes [PDF]
Cryptography and Communications, 2018 Linear complementary dual codes (or codes with complementary duals) are codes whose intersections with their dual codes are trivial. We study binary linear complementary dual [n, k] codes with the largest minimum weight among all binary linear ...
M. Harada, Ken Saito
semanticscholar +1 more source
Duality of Codes Over Non-Unital Rings of Order Four
IEEE Access, 2023 In this paper, we present a basic theory of the duality of linear codes over three of the non-unital rings of order four; namely $I$ , $E$ , and $H$ as denoted in (Fine, 1993).
Adel Alahmadi +2 more
doaj +1 more source
IEEE Access, 2023 In this paper, we investigate self-dual double circulant, and self-dual and linear complementary dual (LCD) double negacirculant codes over a finite ring $R = \mathbb F_{q} + u \mathbb F_{q} + v \mathbb F_{q} + uv\mathbb F_{q}$ , where $u^{2}=u$ , $v^{
Hai Q. Dinh +4 more
doaj +1 more source