Results 141 to 150 of about 2,432,274 (184)

On polycyclic codes over Fpm+uFpm: classification and application to constacyclic codes of length 8ps

Communications in Algebra
Polycyclic codes generalize fundamental families of error-correcting codes, such as cyclic, negacyclic, and constacyclic codes, providing a unified algebraic framework for their study.
Youssef Ahendouz, Ismail Akharraz
semanticscholar   +1 more source

On the Cyclic and-Constacyclic Codes over the Quaternion Rings and Their Applications

Journal of Universal Mathematics
In this paper, the structures of linear codes over the quaternion rings with coe cient from Zp, Hp = Zp+Zpi+Zpj+Zpk are given, where p is an odd prime, i2 = j2 = k2 = p 1 and ij = (p 1)ji = k.
A. Dertli, Y. Çengellenmiş
semanticscholar   +1 more source

Decoding Algorithms for Two-dimensional Constacyclic Codes over 𝔽q

arXiv.org
We 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

Some new quantum codes from constacyclic codes

Quantum Information Processing
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shanqi Pang, Miaomiao Zhang, Mengqian Chen, Chaomeng Zhang   +3 more
semanticscholar   +2 more sources

On Hamming Distances of (α+uβ)-Constacyclic Codes of Length 4p^s over F_(p^m )+uF_(p^m )

International Journal For Multidisciplinary Research
In this paper, we discuss all the Hamming distances of (α+uβ)-constacyclic codes of 4p^s length over the finite chain ring R=F_(p^m )+uF_(p^m ) with u^2=0.
Madhu KANT THAKUR
semanticscholar   +1 more source

Construction of Quantum Codes from Constacyclic Codes Over the Class of Commutative Rings

Contemporary Mathematics
This paper primarily investigates the structural properties of constacyclic codes over the ring  , defined as  where i, j = 1, 2, 3, ..., k, and k, m are positive integers.
Pushpendra Sharma, Amal S. Alali, Shakir Ali, Mohd Azeem   +3 more
semanticscholar   +1 more source

Constacyclic duadic codes over $${\mathbb {F}}_4$$

Applicable Algebra in Engineering, Communication and Computing, 2021
Duadic codes over finite fields, which were introduced by \textit{J. S. Leon} et al. [IEEE Trans. Inf. Theory 30, 709--714 (1984; Zbl 0575.94013)], are an important class of cyclic codes (See also Chapter 6 in [\textit{W. C. Huffman} and \textit{V. Pless}, Fundamentals of error-correcting codes.
Karbaski, Arezoo Soufi, Samei, Karim, Sepahvand, Tayebeh   +2 more
openaire   +2 more sources

Constacyclic codes with best-known parameters

arXiv.org
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 $c$.
Zekai Chen, Min Sha
semanticscholar   +1 more source

Constacyclic codes and cocycles

Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252), 2002
Constacyclic codes may naturally be viewed as objects arising from the cohomological concept of a cocycle. Cohomology theory suggests a transformation which is used to show, under certain circumstances, a cyclic code of length mn over a ring R is isomorphic to the direct sum of m constacyclic codes of length n.
openaire   +1 more source

Quantum convolutional codes derived from constacyclic codes

Modern Physics Letters B, 2014
In this paper, three families of quantum convolutional codes are constructed. The first one and the second one can be regarded as a generalization of Theorems 3, 4, 7 and 8 [J. Chen, J. Li, F. Yang and Y. Huang, Int. J. Theor. Phys., doi:10.1007/s10773-014-2214-6 (2014)], in the sense that we drop the constraint q ≡ 1 ( mod 4).
Tingsu Yan, Xinmei Huang, Yuansheng Tang
openaire   +1 more source