[PDF] Top 20 On the lattice of cyclic codes over finite chain rings
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On the lattice of cyclic codes over finite chain rings
... free cyclic linear codes over R of length ℓ are C η (R; {z}))s where z ∈ {0, 1, ...the cyclic and R- linear subcodes of each cyclic code over R, are ...indecomposable, ... See full document
17
A Class of Constacyclic Codes over R + vR and Its Gray Image
... that cyclic codes over the ring are principally ...two rings are not finite chain rings, some techniques used in the mentioned pa- pers are different from those in the ... See full document
6
On Skew Cyclic Codes over a Finite Ring
... of cyclic codes is skew cyclic codes which were introduced by Boucher in ...these codes are based on the skew polynomial ...commutative rings is the fact that factorization in ... See full document
11
(1 − 2u_2)-Constacylic Codes over F_p + uF_p + u^2F_p
... Error-Correcting codes play important roles in applications ranging from data networking to satellite communication to compact ...linear codes since they have clear structure that makes them simpler to ... See full document
9
Dougherty
... study codes over arbitrary chain rings by ...γ-adic codes are defined over a formal power series ring which are then used to study codes over finite ... See full document
17
Jitman
... self-dual cyclic codes over finite fields have been established in [11] and generalized to Euclidean and Hermitian self-dual abelian codes over finite fields in [13] and ... See full document
20
2-D skew constacyclic codes over R[x, y; ρ, θ]
... Constacyclic codes over finite fields form a remarkable class of linear codes, as they include the important family of cyclic ...Consta- cyclic codes also have practical ... See full document
15
Decoding of cyclic codes over the ring F 2[u]/⟨u^t⟩
... Among codes over finite rings the class of cyclic codes is a significant class from both theoretical and practical point of ...Also cyclic codes are the powerful ... See full document
8
Yao
... skew cyclic codes defined by using the skew polynomial ring with an automorphism θ over the finite field with q ...of cyclic codes over non-commutative polynomial ... See full document
6
Quotients of orders in algebras obtained from skew polynomials with applications to coding theory
... nonassociative finite unital rings that occur as quo- tients of natural nonassociative orders in generalized nonassociative cyclic division alge- bras over number ...associative cyclic ... See full document
22
Bayram
... Recently, codes over some special finite rings especially chain rings have been ...recently, codes over finite non-chain rings have been also ... See full document
12
Oztas
... DNA codes are obtained from the same ...DNA codes with the family of cyclic dual and self dual codes have been ...the finite chain property of the ring, which is useful in both ... See full document
10
Petro Mykhailovych Gudivok
... of finite groups over some local rings" at the Leningrad State Pedagogical Institute, followed by the defence of his Doctoral Thesis "Representations of finite groups over local ... See full document
9
Structured LDPC Codes over Integer Residue Rings
... The codewords are transmitted using the matched signals discussed in Section 2.2. The received signals are decoded using the sum-product algorithm. The performance of random, near-regular LDPC codes with constant ... See full document
9
On divisible codes over finite fields
... power) codes, these bounds may often be improved spectacularly, because both bounds follow from the linearity of the code, and the divisibility property requires more than the linearity of the ...divisible ... See full document
71
Generalized Gaussian Numbers Related to Linear Codes over Galois Rings
... In this work, we give a direct calculation of the number of linear codes over an important family of finite rings which is Galois rings. As a result of this, we define Generalized ... See full document
10
On (1+u)-cyclic and Cyclic Codes over F2+uF2+vF2
... u)-cyclic codes and cyclic codes over ...characterized codes over F 2 + v F 2 which are the Gray images of (1 + u)-cyclic codes and cyclic ... See full document
9
Dinh
... Abstract: Cyclic codes are an interesting type of linear codes and have wide applications in communication and storage systems due to their efficient encoding and decoding ...a cyclic code to ... See full document
25
Fuzzy congruences on groups and rings
... Lattice, groups, rings, fuzzy congruences, fuzzy normal subgroup, fuzzy ideals, isomorphism.. 1991 AMS SUBJECT CLASSIFICATION CODES.[r] ... See full document
5
Authentication Codes Based on Resilient Boolean Maps
... The notion of t-resilient maps has been studied by several authors in the context of Galois rings and well known wider classes of t-resilient maps have been provided. For instance, from Theorem 1 in [2], we have ... See full document
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