Constructive Asymptotic Bounds of Locally Repairable Codes via Function Fields

IEEE Transactions on Information Theory ◽

10.1109/tit.2020.2970419 ◽

2020 ◽

Vol 66 (9) ◽

pp. 5395-5403

Author(s):

Liming Ma ◽

Chaoping Xing

Keyword(s):

Function Fields ◽

Asymptotic Bounds ◽

Locally Repairable Codes

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Improved Asymptotic Bounds for Codes Using Distinguished Divisors of Global Function Fields

SIAM Journal on Discrete Mathematics ◽

10.1137/060674478 ◽

2008 ◽

Vol 21 (4) ◽

pp. 865-899 ◽

Author(s):

Harald Niederreiter ◽

Ferruh Özbudak

Keyword(s):

Function Fields ◽

Global Function ◽

Asymptotic Bounds ◽

Global Function Fields

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On improved asymptotic bounds for codes from global function fields

Designs Codes and Cryptography ◽

10.1007/s10623-009-9289-8 ◽

2009 ◽

Vol 53 (1) ◽

pp. 33-43 ◽

Author(s):

Siman Yang ◽

Lulu Qi

Keyword(s):

Function Fields ◽

Global Function ◽

Asymptotic Bounds ◽

Global Function Fields

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Construction of Asymptotically Good Locally Repairable Codes via Automorphism Groups of Function Fields

IEEE Transactions on Information Theory ◽

10.1109/tit.2019.2923609 ◽

2019 ◽

Vol 65 (11) ◽

pp. 7087-7094 ◽

Author(s):

Xudong Li ◽

Liming Ma ◽

Chaoping Xing

Keyword(s):

Automorphism Groups ◽

Function Fields ◽

Locally Repairable Codes

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Asymptotic Bounds on the Rate of Locally Repairable Codes

IEEE Transactions on Information Theory ◽

10.1109/tit.2021.3131003 ◽

2021 ◽

pp. 1-1

Author(s):

Ron M. Roth

Keyword(s):

Asymptotic Bounds ◽

Locally Repairable Codes

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Construction of Optimal Locally Repairable Codes via Automorphism Groups of Rational Function Fields

IEEE Transactions on Information Theory ◽

10.1109/tit.2019.2946637 ◽

2020 ◽

Vol 66 (1) ◽

pp. 210-221 ◽

Author(s):

Lingfei Jin ◽

Liming Ma ◽

Chaoping Xing

Keyword(s):

Rational Function ◽

Automorphism Groups ◽

Function Fields ◽

Locally Repairable Codes

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Constructions of Locally Repairable Codes With Multiple Recovering Sets via Rational Function Fields

IEEE Transactions on Information Theory ◽

10.1109/tit.2019.2946627 ◽

2020 ◽

Vol 66 (1) ◽

pp. 202-209 ◽

Author(s):

Lingfei Jin ◽

Haibin Kan ◽

Yu Zhang

Keyword(s):

Rational Function ◽

Function Fields ◽

Locally Repairable Codes

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Asymptotic Bounds on the Rate of Locally Repairable Codes

10.1109/isit45174.2021.9518239 ◽

2021 ◽

Author(s):

Ron M. Roth

Keyword(s):

Asymptotic Bounds ◽

Locally Repairable Codes

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Optimal cyclic (r,δ) locally repairable codes with unbounded length

Finite Fields and Their Applications ◽

10.1016/j.ffa.2020.101650 ◽

2020 ◽

Vol 63 ◽

pp. 101650 ◽

Author(s):

Weijun Fang ◽

Fang-Wei Fu

Keyword(s):

Locally Repairable Codes

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Non-asymptotic Bounds via Causal Coding on Scalar-Valued Gauss-Markov Sources with MSE Distortion and CaSI

2020 54th Asilomar Conference on Signals, Systems, and Computers ◽

10.1109/ieeeconf51394.2020.9443303 ◽

2020 ◽

Author(s):

Photios A. Stavrou ◽

Mikael Skoglund

Keyword(s):

Asymptotic Bounds ◽

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The moments and statistical distribution of class number of primes over function fields

Finite Fields and Their Applications ◽

10.1016/j.ffa.2021.101845 ◽

2021 ◽

Vol 73 ◽

pp. 101845

Author(s):

Julio Andrade ◽

Asmaa Shamesaldeen

Keyword(s):

Class Number ◽

Function Fields ◽

Statistical Distribution

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