MDS and near-MDS codes via twisted Reed–Solomon codes-Reference-Cited by-同舟云学术

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MDS and near-MDS codes via twisted Reed–Solomon codes

Published:2022-07-14 Issue:8 Volume:90 Page:1937-1958
ISSN:0925-1022
Container-title:Designs, Codes and Cryptography
language:en
Short-container-title:Des. Codes Cryptogr.

Author:

Sui Junzhen^ORCID,Zhu Xiaomeng,Shi Xueying

Funder

National Natural Science Foundation of China

Natural Science Foundation of Jiangsu Province

Natural Science Foundation of the Jiangsu Higher Education Institutions of China

Qinglan Project of Jiangsu Province of China

Innovative Research Group Project of the National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computer Science Applications

Link

https://link.springer.com/content/pdf/10.1007/s10623-022-01049-9.pdf

Reference29 articles.

1. Bartoli D., Giulietti M., Platoni I.: On the covering radius of MDS codes. IEEE Trans. Inf. Theory 61(2), 801–811 (2015).

2. Beelen P., Puchinger S., Nielsen J.R.: Twisted Reed-Solomon codes. In: 2017 IEEE International Symposium on Information Theory (ISIT), pp. 336–340 (2017).

3. Beelen P., Bossert M., Puchinger S., Rosenkilde J.: Structural properties of twisted Reed-Solomon codes with applications to cryptography. In: 2018 IEEE International Symposium on Information Theory (ISIT), pp. 946–950 (2018).

4. Blaum M., Roth R.M.: On lowest density MDS codes. IEEE Trans. Inf. Theory 45(1), 46–59 (1999).

5. Chen B., Ling S., Zhang G.: Application of constacyclic codes to quantum MDS codes. IEEE Trans. Inf. Theory 61(3), 1474–1484 (2015).

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