Results 71 to 80 of about 2,635,004 (136)
Some of the next articles are maybe not open access.
Constacyclic codes and constacyclic DFTs
Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252), 2002We discuss the encoding/decoding of constacyclic codes by means of a constacyclic DFT. The constacyclic DFT can be applied to codes over finite fields as well as finite rings. We can also apply the constacyclic DFT to the decoding of cyclic codes by means of a structure theorem that decomposes cyclic codes into constacyclic codes.
openaire +1 more source
A class of constacyclic codes are generalized Reed–Solomon codes
Designs, Codes and Cryptography, 2022Maximum distance separable (MDS) codes are optimal in the sense that the minimum distance cannot be improved for a given length and code size. The most prominent MDS codes are generalized Reed–Solomon (GRS) codes. The square $$\mathcal {C}^{2}$$ C 2 of a
Hongwei Liu, Shengwei Liu
semanticscholar +1 more source
Multi-dimensional constacyclic codes of arbitrary length over finite fields
Indian journal of pure and applied mathematics, 2022Multi-dimensional cyclic code is a natural generalization of cyclic code. In an earlier paper we explored two-dimensional constacyclic codes over finite fields.
Swati Bhardwaj, M. Raka
semanticscholar +1 more source
New quantum constacyclic codes
Quantum Information Processing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruihu Li +3 more
openaire +2 more sources
Constacyclic Codes and Some New Quantum MDS Codes
IEEE Transactions on Information Theory, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kai, Xiaoshan, Zhu, Shixin, Li, Ping
openaire +1 more source
Explicit factorization of and a-constacyclic codes over a finite field
Communications in Algebra, 2022Let be a finite field of order q, t be a prime and be positive integers. In this article, we find all irreducible divisors of over where and such that are distinct odd primes and c is a positive integer with and Moreover, we construct an a-constacyclic ...
Supakarn Rakphon +3 more
semanticscholar +1 more source
On the b-Symbol Distances of Matrix Product Codes, Constacyclic Codes, and Reed-Muller Codes
IEEE Transactions on Information TheoryMatrix product codes are generalizations of some well-known classes of codes, including generalized Reed-Muller codes and repeated-root constacyclic codes.
Xu Pan +3 more
semanticscholar +1 more source
Journal of Combinatorial Mathematics and Combinatorial Computing
Let \( p \) be a prime number, and let \( k \) and \( m \) be positive integers with \( k \geq 2 \). This paper studies the algebraic structure of \(\lambda\)-constacyclic codes of arbitrary length over the finite commutative ring \( R = \frac{\mathbb{F ...
Youssef Ahendouz, Ismail Akharraz
semanticscholar +1 more source
Let \( p \) be a prime number, and let \( k \) and \( m \) be positive integers with \( k \geq 2 \). This paper studies the algebraic structure of \(\lambda\)-constacyclic codes of arbitrary length over the finite commutative ring \( R = \frac{\mathbb{F ...
Youssef Ahendouz, Ismail Akharraz
semanticscholar +1 more source
Decoding Algorithms for Two-dimensional Constacyclic Codes over 𝔽q
arXiv.orgWe derive the spectral domain properties of two-dimensional (2-D) $(\lambda_1, \lambda_2)$-constacyclic codes over $\mathbb{F}_q$ using the 2-D finite field Fourier transform (FFFT).
Vidya Sagar, Shikha Patel, S. Garani
semanticscholar +1 more source
A class of constacyclic codes of length 2pˢ over Fp^m[u,v] / ⟨u², v², uv − vu⟩
Gulf Journal of MathematicsLet p be an odd prime number. This paper investigates λ-constacyclic codes of length 2ps over the ring Rᵤ,ᵥ = Fpm[u,v] / ⟨u², v², uv − vu⟩, where λ = ψ + ρu + ηv + τuv, with ψ, ρ, η, τ ∈ Fpm, ψ ∈ F*pm, and ρ, η not both zero.
Youssef Ahendouz, Ismail Akharraz
semanticscholar +1 more source