Results 261 to 270 of about 2,782,523 (317)

When Does the Extended Code of an MDS Code Remain MDS?

IEEE Transactions on Information Theory
For a given linear code $\mathcal {C}$ of length n over ${\mathrm {GF}}(q)$ and a nonzero vector u in ${\mathrm {GF}}(q)^{n}$ , Sun, Ding and Chen defined an extended linear code $\overline {\mathcal {C}}({\mathbf {u}})$ of $\mathcal {C}$ , which
Yansheng Wu, Cunsheng Ding, Ting Chen
semanticscholar   +2 more sources

New quantum MDS code from constacyclic codes

Chinese Annals of Mathematics Series B, 2016
Liqin Hu, Q. Yue, Xiaomeng Zhu
semanticscholar   +3 more sources

XI-Code: A Family of Practical Lowest Density MDS Array Codes of Distance 4

IEEE Transactions on Communications, 2016
Zhijie Huang, Hong Jiang, Ke Zhou, Chong Wang, Yuhong Zhao   +4 more
semanticscholar   +3 more sources

Exact-Repair MDS Code Construction Using Interference Alignment

IEEE Transactions on Information Theory, 2011
Changho Suh, K. Ramchandran
semanticscholar   +3 more sources

On MDS color codes

Physica A: Statistical Mechanics and its Applications, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Clarice Dias de Albuquerque, Vandenberg Lopes Vieira, Cátia Regina de Oliveira Quilles Queiroz, Giuliano Gadioli La Guardia, Anderson José de Oliveira, Leandro Bezerra de Lima   +5 more
openaire   +2 more sources

Achievable Lower Bound on the Optimal Access Bandwidth of (K + 2, K, 2)-MDS Array Code with Degraded Read Friendly

Information Theory Workshop, 2021
Regenerating codes are designed to reduce the repair bandwidth (access bandwidth) for rebuilding a fail node in an erasure-coded storage system. In practical systems, the fail node is not rebuilt immediately.
Ting-Yi Wu, Y. S. Han, Zhengrui Li, Bo Bai, Gong Zhang, Xiaoyang Zhang, Xiang Wu   +6 more
semanticscholar   +1 more source

Toward Optimality in Both Repair and Update via Generic MDS Code Transformation

International Symposium on Information Theory, 2020
An (n, k) maximum distance separable (MDS) code encodes kα data symbols into nα symbols that are stored in n nodes with α symbols each, such that the kα data symbols can be reconstructed from any k out of n nodes.
Hanxu Hou, P. Lee, Y. Han
semanticscholar   +1 more source

Probabilistic Caching Based on MDS Code in Cooperative Mobile Edge Caching Networks

2020 IEEE 31st Annual International Symposium on Personal, Indoor and Mobile Radio Communications, 2020
Mobile edge caching, that prefetches the frequently requested contents at edge nodes, is envisaged to play the leading role in reducing network traffic and latency. Limited storage space at each edge node necessitates efficient caching strategies of what
Dongyeon Ko, Wan Choi
semanticscholar   +1 more source

New Constructions of q-Ary MDS Array Codes With Multiple Parities and Their Effective Decoding

IEEE Transactions on Information Theory, 2023
From the perspective of parity-check matrices, we present new constructions of $q$ -ary maximum distance separable (MDS) array codes with multiple parities.
Jingjie Lv, Weijun Fang, Xiangyu Chen, Jing Yang, S. Xia   +4 more
semanticscholar   +1 more source

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