New bounds on the field size for maximally recoverable codes instantiating grid-like topologies-Reference-Cited by-同舟云学术

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New bounds on the field size for maximally recoverable codes instantiating grid-like topologies

Published:2021-02-01 Issue:2 Volume:54 Page:529-557
ISSN:0925-9899
Container-title:Journal of Algebraic Combinatorics
language:en
Short-container-title:J Algebr Comb

Author:

Kong Xiangliang,Ma Jingxue,Ge Gennian

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Algebra and Number Theory

Link

https://link.springer.com/content/pdf/10.1007/s10801-021-01013-1.pdf

Reference47 articles.

1. Alon, N.: Combinatorial nullstellensatz. Combinat. Probab. Comput. 8(1–2), 7–29 (1999)

2. Ajtai, M., Komlós, J., Pintz, J., Spencer, J., Szemerédi, E.: Extremal uncrowded hypergraphs. J. Combin. Theory Ser. A 32(3), 321–335 (1982)

3. Ajtai, M., Komlós, J., Szemerédi, E.: A note on Ramsey numbers. J. Combin. Theory Ser. A 29(3), 354–360 (1980)

4. Balaji, S.B., Prasanth, K.P., Kumar, P.V.: Binary codes with locality for multiple erasures having short block length. In: IEEE International Symposium on Information Theory, pp. 655–659 (2016)

5. Barg, A., Tamo, I., Vlăduţ, S.: Locally recoverable codes on algebraic curves. IEEE Trans. Inform. Theory 63(8), 4928–4939 (2017)

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1. Locally Repairable Convertible Codes With Optimal Access Costs;IEEE Transactions on Information Theory;2024-09

2. Improved Field Size Bounds for Higher Order MDS Codes;2023 IEEE International Symposium on Information Theory (ISIT);2023-06-25

3. On the Structure of Higher Order MDS Codes;2023 IEEE International Symposium on Information Theory (ISIT);2023-06-25

4. Properties of Maximally Recoverable Product Codes and Higher Order MDS Codes;2022 National Conference on Communications (NCC);2022-05-24

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