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08/03/2023
Influences of some families of error-correcting codes
Binary codes of length n may be viewed as subsets of vertices of the Boo...
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07/25/2023
Curve-lifted codes for local recovery using lines
In this paper, we introduce curve-lifted codes over fields of arbitrary ...
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07/17/2023
Multishot Adversarial Network Decoding
We investigate adversarial network coding and decoding focusing on the m...
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03/29/2023
HerA Scheme: Secure Distributed Matrix Multiplication via Hermitian Codes
We consider the problem of secure distributed matrix multiplication (SDM...
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12/30/2022
Relative hulls and quantum codes
The relative hull of a code C_1 with respect to another code C_2 is the ...
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09/24/2022
Decreasing norm-trace codes
This paper introduces decreasing norm-trace codes, which are evaluation ...
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12/26/2021
Explicit non-special divisors of small degree and LCD codes from Kummer extensions
A linear code is linear complementary dual, or LCD, if and only if the i...
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12/12/2021
Multivariate Goppa codes
In this paper, we introduce multivariate Goppa codes, which contain as a...
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07/04/2021
Erasures repair for decreasing monomial-Cartesian and augmented Reed-Muller codes of high rate
In this work, we present linear exact repair schemes for one or two eras...
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06/11/2020
Codes with locality from cyclic extensions of Deligne-Lusztig curves
Recently, Skabelund defined new maximal curves which are cyclic extensio...
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06/09/2020
Hermitian-Lifted Codes
In this paper, we construct codes for local recovery of erasures with hi...
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02/02/2020
Polar decreasing monomial-Cartesian codes
We prove that families of polar codes with multiple kernels over certain...
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05/18/2018