Results 61 to 70 of about 513,670 (123)
Constacyclic codes over local rings of order 16
, 2019 In this work, we study constacyclic codes of odd length over finite commutative local Frobenius non-chain rings of order 16. We give the structure of lambda(i)-constacyclic codes over each local Frobenius non-chain ring via cyclic codes over these rings ...
Steven Dougherty +3 more
core +1 more source
Skew constacyclic codes over a nonchain ring
, 2021 In this paper, we examine the algebraic structure of the semi-local ring $\mathcal{R}_q=\mathbb{F}_q[v]/\langle v^{2}+1\rangle$ and determine the automorphisms of this ring to study the algebraic structure of the skew constacyclic codes and their dual ...
Köroğlu, Mehmet Emin, Sarı, Mustafa
core
On Gray Images of Constacyclic Codes
, 2018 This paper deals with constacyclic codes over a new ring. Gray images of these codes over those rings are obtained.
Figen Öke +5 more
core +1 more source
Constacyclic codes with locality at most 2 and dimension 2
, 2023 Locally recoverable codes (for short LRCs) are codes such that a symbol in any coordinate of a codeword can be repaired by accessing the symbols in at most r other coordinates. The distributed storage systems by Microsoft Azure and Hadoop uses such codes
Köroğlu, Mehmet Emin, Zengin, Rabia
core
CYCLIC AND CONSTACYCLIC CODES OVER Z4 + wZ4
In this paper, we study the structure of cyclic, quasi-cyclic and constacyclic codes over the finite ring R = Z4+wZ4 of order 16, where w2 = 2. Additionally, self-dual codes and their properties are discussed.
Cengellenmis, Yasemin +2 more
core +1 more source
Constacyclic locally recoverable codes from their duals
A code has locality r if a symbol in any coordinate of a codeword in the code can be recovered by accessing the value of at most r other coordinates. Such codes are called locally recoverable codes (LRCs for short).
Koroglu, Mehmet Emin, Zengin, Rabia
core +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
F_p r – linear skew constacyclic codes
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 ?
Yıldırım, Tülay
core +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 +5 more
europepmc +1 more source
Two Classes of Constacyclic Codes With Variable Parameters [(qm − 1)/r, k, d]
— Constacyclic codes over finite fields are a family of linear codes and contain cyclic codes as a subclass. Constacyclic codes are related to many areas of mathematics and outperform cyclic codes in several aspects.
Ding, Cunsheng +2 more
core +1 more source