Results 21 to 30 of about 520,695 (298)
$b$-symbol distance distribution of repeated-root cyclic codes [PDF]
, 2017 6 ...
Hojjat Mostafanasab +1 more
openalex +4 more sources
Repeated-root constacyclic codes of length $ 3\ell^mp^s $
Advances in Mathematics of Communications, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan Liu +3 more
openalex +3 more sources
New Euclidean and Hermitian Self-Dual Cyclic Codes with Square-Root-Like Minimum Distances [PDF]
arXiv.org, 2023 Binary self-dual codes with large minimum distances, such as the extended Hamming code and the Golay code, are fascinating objects in the coding theory. They are closely related to sporadic simple groups, lattices and invariant theory. A family of binary
Hao Chen
semanticscholar +1 more source
Repeated-root constacyclic codes of length 2ℓ m p n∗ [PDF]
, 2014 For any different odd primes ℓ and p, structure of constacyclic codes of length 2ℓmpn over the finite field Fq of characteristic p and their duals is established in terms of their generator polynomials. Among other results, the characterization and enumeration of all linear complementary dual and self-dual constacyclic codes of length 2ℓmpn are ...
Bocong Chen, Hai Q. Dinh, Hongwei Liu
openalex +3 more sources
On the Hamming Distances of Constacyclic Codes of Length 5
IEEE Access, 2020 Let $p$ be a prime, $s$ , $m$ be positive integers, and $\lambda $ be a nonzero element of the finite field $\mathbb {F}_{p^{m}}$ . In this paper, the algebraic structures of constacyclic codes of length $5~p^{s}~(p\neq 5)$ are obtained, which ...
Hai Q. Dinh +2 more
doaj +1 more source
Some Repeated-Root Constacyclic Codes Over Galois Rings [PDF]
IEEE Transactions on Information Theory, 2017 Codes over Galois rings have been studied extensively during the last three decades. Negacyclic codes over $GR(2^a,m)$ of length $2^s$ have been characterized: the ring $\mathcal{R}_2(a,m,-1)= \frac{GR(2^a,m)[x]}{\langle x^{2^s}+1\rangle}$ is a chain ring.
Hongwei Liu, Youcef Maouche
openaire +2 more sources
A Special Class of Repeated-Root Constacyclic Codes
Asian Journal of Mathematics and Computer ResearchLet \(\mathbb{F}\)q be a finite field with q elements where q be a prime power. Among the classes of constacyclic codes of length 5ℓps over \(\mathbb{F}\)q we define an equivalence relation such that the classes of constacyclic codes which have the same structure are viewed to be equivalent.
Ke Wang
openalex +3 more sources
On a class of repeated-root monomial-like abelian codes
Journal of Algebra Combinatorics Discrete Structures and Applications, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Edgar Martı́nez-Moro +3 more
openalex +5 more sources
Some Constacyclic Codes over Finite Chain Rings [PDF]
, 2012 For $\lambda$ an $n$-th power of a unit in a finite chain ring we prove that $\lambda$-constacyclic repeated-root codes over some finite chain rings are equivalent to cyclic codes. This allows us to simplify the structure of some constacylic codes.
Batoul, Aicha +2 more
core +1 more source
Commuting-projector Hamiltonians for chiral topological phases built from parafermions [PDF]
, 2018 We introduce a family of commuting-projector Hamiltonians whose degrees of freedom involve $\mathbb{Z}_{3}$ parafermion zero modes residing in a parent fractional-quantum-Hall fluid.
Alicea, Jason, Son, Jun Ho
core +2 more sources