5 citations · 8 across the 9 of their papers we have counts for
11 papers · 1 filter
Cyclic codes over a commutative non-unitary ring of order 4
Marvin Olavides, Jon-Lark Kim
Let be the commutative non-unitary ring of order arising in the classification of Fine. In this paper, we investigate cyclic codes over through their associated res…
Construction of self-orthogonal codes over a commutative non-unitary ring of order 25
Jon-Lark Kim, Marvin Olavides, Young Gun Roe
Codes over non-unitary rings have been studied recently. In particular, codes over the commutative non-unitary ring (in the classification of Fine) of order where i…
Fuzzy linear codes based on nested linear codes
Jon-Lark Kim
In this paper, we describe a correspondence between a fuzzy linear code and a family of nested linear codes. We also describe the arithmetic of fuzzy linear codes. As a special cla…
Binary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances
Minjia Shi, Shitao Li, Tor Helleseth +1
The purpose of this paper is two-fold. First, we characterize the existence of binary self-orthogonal codes meeting the Griesmer bound by employing Solomon-Stiffler codes and some…
Two conjectures on the largest minimum distances of binary self-orthogonal codes with dimension 5
Minjia Shi, Shitao Li, Jon-Lark Kim
The purpose of this paper is to solve the two conjectures on the largest minimum distance of a binary self-orthogonal code proposed by Kim and Choi (IEEE Tran…
Self-orthogonal codes over a non-unital ring and combinatorial matrices
Minjia Shi, Shukai Wang, Jon-Lark Kim +1
There is a local ring of order without identity for the multiplication, defined by generators and relations as $E=\langle a,b \mid 2a=2b=0,\, a^2=a,\, b^2=b,\,ab=a,\, ba=b…