11 citations · 30 across the 13 of their papers we have counts for
13 papers
Optimal minimal Linear codes from posets
Jong Yoon Hyun, Hyun Kwang Kim, Yansheng Wu +1
Recently, some infinite families of minimal and optimal binary linear codes were constructed from simplicial complexes by Hyun {\em et al.} We extend this construction method to ar…
The weighted poset metrics and directed graph metrics
Jong Yoon Hyun, Hyun Kwang Kim, Jeong Rye Park
Etzion et al. introduced metrics on based on directed graphs on vertices and developed some basic coding theory on directed graph metric spaces. In this paper,…
Criteria of valid line sum arrays for multidimensional matrices
Hyun Kwang Kim, Joon Yop Lee
Gale and Ryser found a criterion for existence of a binary matrix with given row and column sums. Mirsky extended the theorem of Gale and Ryser to -ary matrices. In this paper,…
New Inequalities for q-ary Constant-Weight Codes
Hyun Kwang Kim, Phan Thanh Toan
Using double counting, we prove Delsarte inequalities for -ary codes and their improvements. Applying the same technique to -ary constant-weight codes, we obtain new inequali…
Improved Semidefinite Programming Bound on Sizes of Codes
Hyun Kwang Kim, Phan Thanh Toan
Let (respectively ) be the maximum possible number of codewords in a binary code (respectively binary constant-weight code) of length and minimum Hamming…
MacWilliams-type equivalence relations
Soohak Choi, Jong Yoon Hyun, Hyun Kwang Kim +1
Let be a poset on , the set of order ideals of and an equivalence relation on . The concep…