Results 211 to 220 of about 2,363,882 (233)

Some new classes of MDS and AMDS symbol-pair constacyclic codes of length 4p and symbol-pair distance up to 8

Journal of Algebra and Its Applications
The concept of symbol-pair coding stems from the observation that in many practical communication and storage systems, errors do not always occur as isolated corruptions of single symbols. Instead, they often appear in bursts or clusters, affecting consecutive symbols.
Hai Q. Dinh, Hieu V. Ha
openaire   +1 more source

Improvement on Minimum Distance of Symbol-Pair Codes

2017
Symbol-pair codes were first introduced by Cassuto and Blaum (2010). The minimum pair distance of a code is a criterion that characterises the error correcting capability of the code with respect to pair errors. The codes that achieve the optimal minimum pair distance (for given codeword length, code book size and alphabet) are called Maximum Distance ...
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On the Hamming and Symbol-Pair Distance of Constacyclic Codes of Length $$p^s$$ over $$\mathbb {F}_{p^m}+ u\mathbb {F}_{p^m}$$

2020
Let \(\mathcal {R}=\mathbb {F}_{p^m}+ u\mathbb {F}_{p^m}, u^2=0 \), be the finite commutative chain ring with unity, where p is a prime number, m is a positive integer and \(\mathbb {F}_{p^m}\) is the finite field with \(p^m\) elements. In this work, we give a simple and short proof of classification of all \( \gamma \)-constacyclic codes of length \(p^
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MDS symbol-pair codes from repeated-root cyclic codes

Designs, Codes, and Cryptography, 2021
Jinquan Luo
exaly  

A new family of AMDS symbol-pair constacyclic codes of length $$\textbf{4p}$$ and symbol-pair distance $$\textbf{9}$$

Designs, Codes and Cryptography
Hai Q. Dinh 0001, Hieu V. Ha, Bac Trong Nguyen, Thieu N. Vo   +3 more
openaire   +2 more sources

AMDS symbol-pair codes from repeated-root cyclic codes

Discrete Mathematics, 2023
Jinquan Luo
exaly  

Symbol-pair distance distribution of a class of constacyclic codes and application in quantum codes

2018
Dinh, Hai Q, Nguyen, Bac T
openaire   +1 more source

Symbol-Pair Distance of Repeated-Root Constacyclic Codes of Prime Power Lengths over {{\mathbb{F}_{p^m}[u]}/{\langle u^3\rangle}}{{\mathbb{F}_{p^m}[u]}/{\langle u^3\rangle}}

Mathematics, 2021
Woraphon Yamaka, Hai Dinh, Jamal Laaouine   +2 more
exaly  

Symbol-pair distance of some repeated-root constacyclic codes of length psp^s over the Galois ring GR(pa,m){{\,\mathrm{GR}\,}}(p^a,m)

Applicable Algebra in Engineering, Communications and Computing, 2022
Pramod Kumar Kewat, Hai Dinh, Nilay Kumar Mondal   +2 more
exaly