Hulls of double cyclic codes
Webgate properties of the hulls of linear and cyclic codes over rings for arbitrary cases. In this paper, we focus on the hulls of cyclic codes of odd length n over Z 4. The … Web1 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, ...
Hulls of double cyclic codes
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Web1 jan. 2024 · An algorithm for computing the types of the hulls of cyclic codes of arbitrary odd length over Z 4 has been given. The 2-dimensions of the hulls of cyclic codes of … Web27 feb. 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 codes of length n over the ring Z 4 have been focused on.
Web13 feb. 2024 · In this paper, we explore some properties of Galois hulls of cyclic serial codes over a chain ring and we devise an algorithm for computing all the possible parameters of the Euclidean hulls of... Global Survey. In just 3 minutes help us understand how you see arXiv. Web1 nov. 2024 · We have studied QC codes of index 2 as a special case of Fq-double cyclic codes. We have determined the structure of the duals of such QC codes and presented …
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 ]. Web1 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 …
Web20 jun. 2024 · An algorithm for computing the types of the hulls of cyclic codes of arbitrary odd length over Z_4 has been given. The average 2-dimension E (n) of the hulls of cyclic codes of odd length n over Z_4 has been established. A general formula for E (n) has been provided together with its upper and lower bounds.
Web5 okt. 2024 · Finally, the hull of each cyclic code with length $2n$ over $\mathbb{F}_{2^m}+u\mathbb{F}_{2^m}$ is determined and all distinct self-orthogonal … retique third wardhttp://thaijmath.in.cmu.ac.th/index.php/thaijmath/article/view/5136/354354812 ps3 emulator games blitz the league 2Web5 dec. 2024 · We provided an explicit representation for each cyclic code, gave clear formulas to calculate the number of codewords in each code and the number of all these … retirals in ctc meaningWebFirstly, 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 … retique goodwill historic third wardWeb21 okt. 2014 · Z2-double cyclic codes. Joaquim Borges, Cristina Fernández-Córdoba, Roger Ten-Valls. A binary linear code is a -double cyclic code if the set of coordinates can be partitioned into two subsets such that any cyclic shift of the coordinates of both subsets leaves invariant the code. These codes can be identified as submodules of the -module … retire4hireWeb1 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. retira ficha webWeb6 aug. 2024 · The hull plays an important role in determining the complexity of algorithms for checking permutation equivalence of two linear codes and computing the automorphism … ps3 exfat or ntfs