5 citations · 8 across the 6 of their papers we have counts for
9 papers
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…
DNA codes over two noncommutative rings of order four
Jon-Lark Kim, Dong Eun Ohk
In this paper, we describe a new type of DNA codes over two noncommutative rings and of order four with characteristic 2. Our DNA codes are based on quasi self-dual codes o…
Self-dual codes over with symmetric generator matrices
Whan-Hyuk Choi, Jon-Lark Kim
We introduce a consistent and efficient method to construct self-dual codes over with symmetric generator matrices from a self-dual code over of smaller length wher…
Embedding linear codes into self-orthogonal codes and their optimal minimum distances
Jon-Lark Kim, Young-Hun Kim, Nari Lee
We obtain a characterization on self-orthogonality for a given binary linear code in terms of the number of column vectors in its generator matrix, which extends the result of Bouy…
Projection decoding of some binary optimal linear codes of lengths 36 and 40
Lucky Galvez, Jon-Lark Kim
Practically good error-correcting codes should have good parameters and efficient decoding algorithms. Some algebraically defined good codes such as cyclic codes, Reed-Solomon code…
McNie: A code-based public-key cryptosystem
Jon-Lark Kim, Young-Sik Kim, Lucky Galvez +2
In this paper, we suggest a code-based public key encryption scheme, called McNie. McNie is a hybrid version of the McEliece and Niederreiter cryptosystems and its security is redu…