Hajime MATSUI


Run-Length Constraint of Cyclic Reverse-Complement and Constant GC-Content DNA Codes
Ramy TAKI ELDIN Hajime MATSUI 
Publication:   
Publication Date: 2020/01/01
Vol. E103-A  No. 1  pp. 325-333
Type of Manuscript:  PAPER
Category: Coding Theory
Keyword: 
Finite fieldsirreducible cyclic codesweight distributiontrace functionrank-nullity theorem
 Summary | Full Text:PDF(773.6KB)

Natural Gradient Descent of Complex-Valued Neural Networks Invariant under Rotations
Jun-ichi MUKUNO Hajime MATSUI 
Publication:   
Publication Date: 2019/12/01
Vol. E102-A  No. 12  pp. 1988-1996
Type of Manuscript:  PAPER
Category: Neural Networks and Bioengineering
Keyword: 
complex numberFisher information matrixprojected natural gradientdata augmentationonline character recognition
 Summary | Full Text:PDF(1011.9KB)

A Modulus Factorization Algorithm for Self-Orthogonal and Self-Dual Integer Codes
Hajime MATSUI 
Publication:   
Publication Date: 2018/11/01
Vol. E101-A  No. 11  pp. 1952-1956
Type of Manuscript:  LETTER
Category: Coding Theory
Keyword: 
error-correcting codesself-orthogonal codesself-dual codescodes over integer residue ringsChinese remainder theorem
 Summary | Full Text:PDF(253.6KB)

A Convolution Theorem for Multiple-Valued Logic Polynomials of a Semigroup Type and Their Fast Multiplication
Hajime MATSUI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2016/06/01
Vol. E99-A  No. 6  pp. 1025-1033
Type of Manuscript:  Special Section PAPER (Special Section on Discrete Mathematics and Its Applications)
Category: 
Keyword: 
algebraic normal formsBoolean polynomialsReed-Muller expansiondiscrete Fourier transformtensor product
 Summary | Full Text:PDF(351.9KB)

Decoding of Projective Reed-Muller Codes by Dividing a Projective Space into Affine Spaces
Norihiro NAKASHIMA Hajime MATSUI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2016/03/01
Vol. E99-A  No. 3  pp. 733-741
Type of Manuscript:  PAPER
Category: Coding Theory
Keyword: 
error-correcting codesaffine variety codesGröbner basisBerlekamp-Massey-Sakata algorithmdiscrete Fourier transform
 Summary | Full Text:PDF(740.2KB)

Computation of Grobner Basis for Systematic Encoding of Generalized Quasi-Cyclic Codes
Vo TAM VAN Hajime MATSUI Seiichi MITA 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/09/01
Vol. E92-A  No. 9  pp. 2345-2359
Type of Manuscript:  PAPER
Category: Coding Theory
Keyword: 
automorphism groupBuchberger's algorithmdivision algorithmcirculant matrixfinite geometry low density parity check (LDPC) codes
 Summary | Full Text:PDF(430.3KB)

A Simple Proof of Horiguchi's Error-Value Formula in Decoding of Alternant Codes and Its Applications
Hajime MATSUI 
Publication:   IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2009/08/01
Vol. E92-A  No. 8  pp. 2146-2150
Type of Manuscript:  LETTER
Category: Coding Theory
Keyword: 
Berlekamp-Massey algorithmgeneralized RS codesBCH codeserror evaluationfast decoding
 Summary | Full Text:PDF(94.9KB)