Research field (2)：
Communication and network engineering
, Algebra
Research keywords (12)：
information theory
, coding theory
, discrete mathematics
, algebra
, number theory
, multiple-valued logic
, グレブナー基底
, Fourier transform
, finite field
, 誤り訂正符号
, Groebner bases
, error-correcting code
Research theme for competitive and other funds (6)：
2019 - 2022 On relations between error correcting codes and multi-valued logic functions via discrete Fourier transforms
2015 - 2018 Construction of high-performance error-correcting codes using Grobner bases
2011 - 2013 Modern algebraic decoding of error-correcting codes
2007 - 2009 Models of encoding and decoding via Grobner basis for algebraic geometry codes and multidimensional cyclic codes
Norifumi Ojiro, Kakeru Kaneko, Hajime Matsui. An efficient algorithm for constructing reversible quasi-cyclic codes via Chinese remainder theorem. Finite Fields and Their Applications. 2023. 89. 102204-102204
Hajime Matsui. An algorithm for finding self-orthogonal and self-dual codes over Gaussian and Eisenstein integer residue rings via Chinese remainder theorem. IEEE Access. 2023. 11. 23260-23267
Norifumi Ojiro, Hajime Matsui. Construction of reversible integer codes with large moduli via Chinese remainder theorem. International Symposium on Information Theory and Its Applications (ISITA2022). 2022. 188-192
Ramy Taki ElDin, Hajime Matsui. Linking reversed and dual codes of quasi-cyclic codes. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. 2022. E105-A. 3. 381-388
Hajime Matsui. A modulus factorization algorithm for self-orthogonal and self-dual quasi-cyclic codes via polynomial matrices. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. 2021. E104-A. 11. 1649-1653
