Ken Saito

activity

20172021

collaborators

7 papers

cs.IT2021

Construction for both self-dual codes and LCD codes

Keita Ishizuka, Ken Saito

From a given $[n, k]$ code $C$ , we give a method for constructing many $[n, k]$ codes $C^{'}$ such that the hull dimensions of $C$ and $C^{'}$ are identical. This method can be applied t…

cs.IT2021

On the existence of quaternary Hermitian LCD codes with Hermitian dual distance $1$

Keita Ishizuka, Ken Saito

For $k \geq 2$ and a positive integer $d_{0}$ , we show that if there exists no quaternary Hermitian linear complementary dual $[n, k, d]$ code with $d \geq d_{0}$ and Hermitian dual distan…

cs.IT2019

Remark on subcodes of linear complementary dual codes

Masaaki Harada, Ken Saito

We show that any ternary Euclidean (resp.\ quaternary Hermitian) linear complementary dual $[n, k]$ code contains a Euclidean (resp.\ Hermitian) linear complementary dual $[n, k - 1]$ …

math.CO2019

Characterization and classification of optimal LCD codes

Makoto Araya, Masaaki Harada, Ken Saito

Linear complementary dual (LCD) codes are linear codes that intersect with their dual trivially. We give a characterization of LCD codes over $F_{q}$ having large minimum we…

math.CO2019

Quaternary Hermitian linear complementary dual codes

Makoto Araya, Masaaki Harada, Ken Saito

The largest minimum weights among quaternary Hermitian linear complementary dual codes are known for dimension $2$ . In this paper, we give some conditions for the nonexistence of q…

math.CO2018

Binary linear complementary dual codes