Results 11 to 20 of about 59,107 (223)
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
On Quasi-Cyclic Codes of Index 3
EntropyQuasi-cyclic codes of index 3 over finite fields are studied. We give a classification of such codes. Their duals with respect to the Euclidean and Hermitian inner products are investigated.
Kanat Abdukhalikov, Rasha M. Shat
doaj +4 more sources
Construction of Quasi-Cyclic Product Codes
CoRR, 2015 Linear quasi-cyclic product codes over finite fields are investigated. Given the generating set in the form of a reduced Gr{\"o}bner basis of a quasi-cyclic component code and the generator polynomial of a second cyclic component code, an explicit ...
Ling, San, Zeh, Alexander
core +2 more sources
CoRR, 2020 arXiv admin note: text overlap with arXiv:1906 ...
Güneri, Cem, Ling, San, Özkaya, Buket
openaire +4 more sources
Multidimensional Quasi-Cyclic and Convolutional Codes [PDF]
IEEE Transactions on Information Theory, 2016 We introduce multidimensional analogues of quasi-cyclic (QC) codes and study their algebraic structure. We demonstrate a concatenated structure for multidimensional QC codes and use this to prove that this class of codes is asymptotically good. We also relate the new family of codes to convolutional codes.
Cem Güneri, Buket Özkaya
openaire +4 more sources
On quasi-cyclic subspace codes
CoRR, 2016 Construction of subspace codes with good parameters is one of the most important problems in random network coding. In this paper we present first a generalization of the concept of cyclic subspaces codes and further we show that the usual methods for constructing cyclic subspace codes over finite fields works for m-quasi cyclic codes, namely the ...
Ismael Gutiérrez, Ivan Molina
openaire +2 more sources
Discrete Applied Mathematics, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anne Desideri Bracco +2 more
openaire +2 more sources
Finite Fields and Their Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hongxi Tong, Ding Yang
openaire +2 more sources
On the Construction of Skew Quasi-Cyclic Codes [PDF]
IEEE Transactions on Information Theory, 2010 In this paper we study a special type of quasi-cyclic (QC) codes called skew QC codes. This set of codes is constructed using a non-commutative ring called the skew polynomial rings $F[x;θ]$. After a brief description of the skew polynomial ring $F[x;θ]$ it is shown that skew QC codes are left submodules of the ring $R_{s}^{l}=(F[x;θ]/(x^{s}-1))^{l ...
Taher Abualrub +3 more
openaire +3 more sources
Decomposing Quasi-Cyclic Codes
Electronic Notes in Discrete Mathematics, 2001 Abstract A new algebraic approach to quasi-cyclic codes is introduced. Technical tools include the Chinese Remainder Theorem, the Discrete Fourier Transform, Chain rings. The main results are a characterization of self-dual quasi-cyclic codes, a trace representation that generalizes that of cyclic codes, and an interpretation of the squaring and ...
San Ling, Patrick Solé
openaire +1 more source