Results 211 to 220 of about 415,790 (230)

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, Hieu V. Ha, Bac T. Nguyen, Thieu N. Vo   +3 more
openaire   +2 more sources

On symbol-pair distance distributions of repeated-root constacyclic codes of length <inline-formula><tex-math id="M1">$ 4p^s $</tex-math></inline-formula> and MDS codes

Advances in Mathematics of Communications
Hai Q. Dinh, Abhay Kumar Singh, Madhu Kant Thakur   +2 more
openaire   +2 more sources

New Families of MDS Symbol-Pair Codes From Matrix-Product Codes

IEEE Transactions on Information Theory, 2023
In emerging storage technologies, the outputs of the channels consist of overlapping pairs of symbols. The errors are no longer individual symbols. Controlling them calls for a different approach. Symbol-pair codes have been proposed as a solution.
Gaojun Luo, M. F. Ezerman, S. Ling, Xu Pan   +3 more
semanticscholar   +1 more source

New Bounds on the Code Size of Symbol-Pair Codes

IEEE Transactions on Information Theory, 2023
Classical error-correcting codes under the Hamming metric are used to correct substitution and erasure errors. Motivated by the limitations of the reading process in high density data storage systems, a new class of codes called symbol-pair (metric ...
Bocong Chen, Hongwei Liu
semanticscholar   +1 more source

On the symbol-pair distances of repeated-root constacyclic codes of length 2ps

Discrete Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Dinh, Hai Q., Wang, Xiaoqiang, Liu, Hongwei, Sriboonchitta, Songsak   +3 more
openaire   +1 more source

Bounds and Constructions of Codes Over Symbol-Pair Read Channels

IEEE Transactions on Information Theory, 2020
Cassuto and Blaum recently studied the symbol-pair channel, a model where every two consecutive symbols are read together. This special channel structure is motivated by the limitations of the reading process in high density data storage systems, where ...
Ohad Elishco, Ryan Gabrys, Eitan Yaakobi
semanticscholar   +1 more source

New constructions of MDS symbol-pair codes via simple-root cyclic codes

Designs, Codes and Cryptography
In modern storage technologies, symbol-pair codes have emerged as a crucial framework for addressing errors in channels where symbols are read in overlapping pairs to guard against pair errors.
Rongxing Qiu, Weijun Fang
semanticscholar   +1 more source

Two New Classes of MDS Symbol-Pair Codes

IEEE Transactions on Information Theory
Due to the application of high density data storage systems, symbol-pair codes are proposed to combat errors of the overlapping symbol pairs output over symbol-pair read channels.
X. Kai, Yajing Zhou, Shixin Zhu
semanticscholar   +1 more source

Several new classes of MDS symbol-pair codes

Designs, Codes and Cryptography
In order to correct the pair-errors generated during the transmission of modern high-density data storage that the outputs of the channels consist of overlapping pairs of symbols, a new coding scheme named symbol-pair code is proposed.
Xiujing Zheng, Liqi Wang, Shixin Zhu
semanticscholar   +1 more source