Hulls of double cyclic codes
WebIn this paper, we characterize hulls of double cyclic codes over Z2. Firstly, we give the generators of hulls of double cyclic codes under the separab… Web10 feb. 2024 · Table 1 gives some examples of {\mathbb {Z}}_2 -double cyclic codes which have the best known minimum distance. In the table, the parameters are [ n , k , d ], where n=r+s is the length, k is the dimension, and d is the minimum distance of the code. It is denoted by [.]^* when the code is optimal according to [ 8 ].
Hulls of double cyclic codes
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Web5 mei 2024 · As a result, the Z 4 -double cyclic codes are asymptotically good. Published in: IEEE Communications Letters ( Volume: 24 , Issue: 8 , August 2024 ) Article #: Page (s): 1593 - 1597 Date of Publication: 05 May 2024 ISSN Information: Print ISSN: 1089-7798 Electronic ISSN: 1558-2558 CD: 2373-7891 INSPEC Accession Number: 20050315
http://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/5136/354354812 Web26 nov. 2024 · A linear code over R is a double cyclic code of length (r, s), if the set of its coordinates can be partitioned into two parts of sizes r and s, so that any cyclic shift of coordinates of...
Web20 jun. 2024 · The hulls of linear and cyclic codes over finite fields have been of interest and extensively studied due to their wide applications. In this paper, the hulls of cyclic … Web1 apr. 2001 · DOI: 10.1016/S0166-218X(02)00451-1 Corpus ID: 2433548; The Average Dimension of the Hull of Cyclic Codes @article{Skersys2001TheAD, title={The Average Dimension of the Hull of Cyclic Codes}, author={Gintaras Skersys}, journal={Discret.
Web464 J. Borges et al. first r coordinates and the last s coordinates, such that any cyclic shift of the coordinates of both subsets of a codeword is also a codeword. Note that if one of these sets of coordinates is empty, for example r = 0, then we obtain a binary cyclic code of length s.Therefore, binary cyclic codes are a special class of Z2- double cyclic codes.
WebThe hulls of linear and cyclic codes have been extensively studied due to their wide applications. The dimensions and average dimension of the Euclidean hull of linear and cyclic codes have been well-studied. In this paper, the average dimension of the Hermitian hull of constacyclic codes of length n over a finite field Fq2 is determined … bbva bank fuengirola spainWebFirstly, we give the generators of hulls of double cyclic codes under the separable case and the non-separable case with coprime odd block lengths. Then, using the concept of a … dchli tju.edu.cnWeb1 mei 2015 · Based on the characterization of their generator polynomials, the dimensions of the hulls of cyclic and negacyclic codes of length n over F q are determined. The … bbva bank in miamiWeb1 mei 2015 · In this paper, the hulls of cyclic codes of odd length n over the ring Z4 have been focused on. ... The related polynomial representation of $\mathbb{Z}_2$-double cyclic codes and its duals, ... dcha govWeb1 mrt. 2024 · We relate these codes to codes over rings and show how they can be used to construct interesting lattices. As an applications of these codes, we provide examples of self-dual, formally... bbva bank en usaWeb1 jan. 2024 · In this paper, we explore some properties of hulls of cyclic serial codes over a finite chain ring and we provide an algorithm for computing all the possible parameters of … dci 2021 dvdIn this work, we introduce the $${\mathbb {F}}_qR$$ -linear skew cyclic codes, wh ere $$q=p^s$$ is a prime power and $$R={\mathbb {F}}_q+u{\mathbb {F}}_q$$ with $$u^2=0$$ . We provide the algebraic structure of these codes. The dual codes of separable linear skew cyclic codes are also presented. Meer weergeven Let \vartheta and \varTheta be the automorphisms of {\mathbb {F}}_q and R, respectively. A code C is said to be an {\mathbb {F}}_qR-linear skew cyclic code of length … Meer weergeven [26] Let C be a skew cyclic code of length \beta over R and A be the set of non-zero skew polynomials of minimal degree in C. 1. (1) If there … Meer weergeven The code C is an {\mathbb {F}}_qR-linear skew cyclic code of length \alpha +\beta if and only if C is a left R[x,\varTheta ]-submodule of R_{\alpha ,\beta }. Let {\overleftarrow{f(x)}}^{u} … Meer weergeven Let C be an {\mathbb {F}}_qR-linear skew cyclic code of length \alpha +\beta . 1. (i) If \psi (C)=\langle g_0+ug_1\rangle , then \begin{aligned} C=\langle (f 0),(l_1 g_0+ug_1)\rangle , \end{aligned}where … Meer weergeven bbva bank in miami fl