research
∙
09/28/2021
Extended Irreducible Binary Sextic Goppa codes
Let n (>3) be a prime number and F_2^n a finite field of 2^n elements. L...
share
research
∙
07/22/2021
Binary irreducible quasi-cyclic parity-check subcodes of Goppa codes and extended Goppa codes
Goppa codes are particularly appealing for cryptographic applications. E...
research
∙
04/09/2021
Ternary primitive LCD BCH codes
Absolute coset leaders were first proposed by the authors which have adv...
research
∙
12/15/2020
Further factorization of x^n-1 over finite fields (II)
Let F_q be a finite field with q elements. Let n be a positive integer w...
research
∙
09/14/2020
MDS or NMDS self-dual codes from twisted generalized Reed-Solomon codes
Self-dual maximum distance separable codes (self-dual MDS codes) and sel...
research
∙
08/17/2020
Optimal minimal Linear codes from posets
Recently, some infinite families of minimal and optimal binary linear co...
research
∙
01/14/2020
Self-reciprocal and self-conjugate-reciprocal irreducible factors of x^n-λ and their applications
In this paper, we present some necessary and sufficient conditions under...
research
∙
11/18/2019
On the Hamming distances of repeated-root cyclic codes of length 5p^s
Due to the wide applications in consumer electronics, data storage syste...
research
∙
10/27/2019
New quaternary codes derived from posets of the disjoint union of two chains
Based on the generic construction of linear codes, we construct linear c...
research
∙
10/26/2019
A class of functions with low-valued Walsh spectrum
Let l≡ 3 4, l 3, be a prime, N=l^2, f=l(l-1)/2 the multiplicative order ...
research
∙
10/10/2019
Optimal few-weight codes from simplicial complexes
Recently, some infinite families of binary minimal and optimal linear co...
research
∙
06/28/2019