Hulls of double cyclic codes

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August undefined, 2024

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… 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

Hulls of double cyclic codes - sciencedirect.com

Web29 okt. 2024 · clinical coding Hulls of cyclic codes October 2024 Authors: Alexandre Fotue Tabue University of Bertoua No full-text available ResearchGate has not been able to … WebHulls of Cyclic Codes over the Ring F2 + vF2 Hulls of linear codes over finite fields have been introduced and become of interest due to their wide practical applications. … ridge wallet add money clip

Hulls of Cyclic Codes over

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... 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 … Web1 mei 2015 · In Table 2, we provide the dimensions of the hulls of cyclic codes over F 2 of lengths 1 to 40 together with the corresponding number of cyclic codes of each hull dimension. In Table 2, “n” is the length of the cyclic codes, “dim” refers to the dimension of the hulls of such codes, and “No.” is the number of cyclic codes of length n over F 2 … ridge wallet airtag review

Hulls of cyclic and negacyclic codes over finite fields

(PDF) Hulls of cyclic serial codes over a finite chain ring

Web1 jan. 2024 · In this paper, we focus on the study of the hulls of cyclic codes of length n over a finite chain ring R of parameters (p, r, a, e, r) such that n and p are coprime. This is the … WebLet C be an [n, k] cyclic code over F q, where F q is the finite field of order q. The hull of C is defined to be the intersection of the code and its dual. In this paper, we will employ the defining sets of cyclic codes to present two general characterizations of the hulls that have dimension k - 1 or k ⊥ - 1, where k ⊥ is the dimension of the dual code C ⊥ . ridge vs troughWeb8 jul. 2024 · In this work, we study the hull of cyclic codes over a finite non chain ring R = Fq+vFq, where v 2 = v. The main tool for the characterization of the hull of cyclic codes … ridge wallet bottle opener

"Web5 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 … " - Hulls of double cyclic codes

Hulls of double cyclic codes

Hulls of cyclic serial codes over a finite chain ring

Web6 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 … Web1 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 …

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Web1 mei 2016 · Thus, the double cyclic code of length (r, s) over R can be viewed as an R [x]-submodule of R r, s. In the following, we identity the double cyclic codes of length (r, s) with the R [x]-submodules of R r, s. Proposition 2. … 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.

WebIt is clear that the Euclidean hull of cyclic codes is also cyclic, two special families of cyclic codes are of great interest, namely linear complementary dual codes, which are codes … Web10 sep. 2024 · Generally, a codeword \mathbf {c}= (c_ {0},c_ {1},\cdots ,c_ {n-1})\in \mathcal {C} can be identified with the polynomial c ( x) = c0 + c1x + ⋯ + cn− 1xn− 1. Then a q2 …

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. 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.

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, ...

Web21 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 … ridge wallet cash strap vs money clip redditWeb31 jan. 2024 · The 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. ridge vs valley topographic mapWeb31 jan. 2024 · The 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 … ridge wallet clip installWeb21 okt. 2014 · The polynomial representation of Z2-double cyclic codes and its duals is given, and the relations between the generator polynomials of these codes are studied. A binary linear code C is a $${\mathbb {Z}} ... ridge wallet cash strap vs clipWeb1 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... ridge walk santa rosa beach flWeb1 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 length n over Z 4 and the number of cyclic codes of length n over Z 4 having hulls of a given 2-dimension are determined. ridge wallet cash strap or money clip redditWeb31 mei 2015 · We study the hulls of cyclic and negacyclic codes of length n over a finite field with respect to the Euclidean and Hermitian inner products. Based on the … ridge wallet cash strap