Results 51 to 60 of about 2,635,004 (136)

Skew constacyclic codes over finite chain rings

Advances in Mathematics of Communications, 2012
Skew polynomial rings over finite fields ([7] and [10]) and over Galois rings ([8]) have been used to study codes. In this paper, we extend this concept to finite chain rings. Properties of skew constacyclic codes generated by monic right divisors of $x^n- $, where $ $ is a unit element, are exhibited.
Jitman, Somphong, Ling, San, Udomkavanich, Patanee   +2 more
openaire   +2 more sources

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

A q-polynomial approach to constacyclic codes

Finite Fields and Their Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fang, Weijun, Wen, Jiejing, Fu, Fang-Wei
openaire   +1 more source

F_p R – Linear Skew Constacyclic Codes

Afyon Kocatepe University Journal of Sciences and Engineering
In this paper, we study a special class of linear codes, called skew constacyclic codes, over the ring F_p R, where R=F_p+vF_p, p is an odd prime number and v^2=v. These codes are defined as a subset of the ring F_p^m R^n. For an automorphism θ of R, we investigate the structural properties of skew polynomial ring R[x,θ].
openaire   +3 more sources

AMDS constacyclic codes and quantum AMDS codes

Filomat
One significant application of almost maximum distance separable (briefly, AMDS) codes is in secure communication systems, such as secure messaging and encrypted data transmission. By incorporating AMDS codes into the data encoding process, information can be safeguarded from accidental errors that might occur during transmission or storage.
Hai Dinh, Bac Nguyen, Hiep Thi
openaire   +1 more source

(1 + u)-Constacyclic codes over Z 4 + uZ 4. [PDF]

Springerplus, 2016
Yu H, Wang Y, Shi M.
europepmc   +1 more source

Single-photon sampling architecture for solid-state imaging sensors. [PDF]

Proc Natl Acad Sci U S A, 2013
van den Berg E, Candès E, Chinn G, Levin C, Olcott PD, Sing-Long C.   +5 more
europepmc   +1 more source

On Gray Images of Cyclic and Self-Orthogonal Codes over Fq+uFq+vFq. [PDF]

Entropy (Basel)
Saif SH, Alhomaidhi AA.
europepmc   +1 more source

Exploring new lengths for q-ary quantum MDS codes with larger distance. [PDF]

PLoS One
He X, Wang J, Huang C, Chen Y.
europepmc   +1 more source