Results 51 to 60 of about 513,670 (123)

Constacyclic codes as invariant subspaces [PDF]

, 2009
Constacyclic codes are generalizations of the familiar linear cyclic codes. In this paper constacyclic codes over a finite field F are regarded as invariant subspaces of Fn with respect to a suitable linear operator.
van zanten, A.J., Radkova, D.
core   +2 more sources

Asymmetric Entanglement-Assisted Quantum MDS Codes Constructed from Constacyclic Codes. [PDF]

Entropy (Basel), 2023
Chen J, Fang W, Zhou S, Qiu J, Zhang C, Xu Y, Zeng B, Chen Y.   +7 more
europepmc   +1 more source

Skew Constacyclic Codes over a Non-Chain Ring. [PDF]

Entropy (Basel), 2023
Köroğlu ME, Sarı M.
europepmc   +1 more source

Type-II polyadic constacyclic codes over finite fields

, 2022
Polyadic constacyclic codes over finite fields have been of interest due to their nice algebraic structures, good parameters, and wide applications. Recently, the study of Type-I m-adic constacyclic codes over finite fields has been established. In this
Jitman, Somphong, Ling, San, Tharnnukhroh, Jareena   +2 more
core   +1 more source

Constacyclic Codes With Best-Known Parameters

IEEE Transactions on Information Theory
In this paper, we construct several infinite families of $q$-ary constacyclic codes over a finite field $\mathbb{F}_q$ with length $n$, dimension around $n/2$, and minimum distance at least $cn/\log_q n$ for some positive constant $c$. They contain many constacyclic codes with optimal, or almost-optimal, or best-known parameters.
Zekai Chen, Min Sha
openaire   +2 more sources

Repeated-root constacyclic codes of length 2ℓmpn

, 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.
Liu, Hongwei, Dinh, Hai Q., Chen, Bocong
core   +1 more source

MDS constacyclic codes of length q + 1 over GF(q)

MDS constacyclic codes over finite fields are important in both theory and practice. In this paper, all [q + 1,2,q] and [q + 1,3,q − 1] MDS λ-constacyclic codes over GF(q) are characterized, three classes of [q + 1,4,q − 2] MDS λ-constacyclic codes over ...
Ding, Cunsheng, Liu, Hongwei, Wang, Xiaoqiang, Zheng, Dabin   +3 more
core   +1 more source

Entanglement-Assisted Quantum Codes from Cyclic Codes. [PDF]

Entropy (Basel), 2022
Pereira FRF, Mancini S.
europepmc   +1 more source

Some New Quantum BCH Codes over Finite Fields. [PDF]

Entropy (Basel), 2021
Xing L, Li Z.
europepmc   +1 more source