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Your search keyword '"Shi, Minjia"' showing total 2 results
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2 results on '"Shi, Minjia"'

1. Double Circulant Self-Dual and LCD Codes Over ℤp2.

Author

Huang, Daitao, Shi, Minjia, and Solé, Patrick

Subjects
*GRAY codes, *CIPHERS
Abstract

We study double circulant LCD codes over ℤ p 2 for all odd primes p , and self-dual double circulant codes over ℤ p 2 for primes p ≡ 1 (mod   4). We derive exact enumeration formulae, and asymptotic lower bounds on the minimum distance of the p -ary images of these codes by the classical Gray maps. [ABSTRACT FROM AUTHOR]

Published
2019
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2. On Self-Dual Four Circulant Codes.

Author

Shi, Minjia, Zhu, Hongwei, Qian, Liqin, and Solé, Patrick

Subjects
*CIRCULANT matrices, *CODING theory, *CYCLIC codes, *EXISTENCE theorems, *GENERATORS (Computer programs)
Abstract

Four circulant codes form a special class of 2 -generator, index 4 , quasi-cyclic codes. Under some conditions on their generator matrix they can be shown to be self-dual. Artin primitive root conjecture shows the existence of an infinite subclass of these codes satisfying a modified Gilbert–Varshamov bound. [ABSTRACT FROM AUTHOR]

Published
2018
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