1 citations · 2 across the 3 of their papers we have counts for
3 papers
cs.IT2008★ 1 cited
Computation of Grobner basis for systematic encoding of generalized quasi-cyclic codes
Vo Tam Van, Hajime Matsui, Seiichi Mita
Generalized quasi-cyclic (GQC) codes form a wide and useful class of linear codes that includes thoroughly quasi-cyclic codes, finite geometry (FG) low density parity check (LDPC)…
cs.IT2007
Encoding via Gröbner bases and discrete Fourier transforms for several types of algebraic codes
Hajime Matsui, Seiichi Mita
We propose a novel encoding scheme for algebraic codes such as codes on algebraic curves, multidimensional cyclic codes, and hyperbolic cascaded Reed-Solomon codes and present nume…
cs.IT2007★ 1 cited
Inverse-free Berlekamp-Massey-Sakata Algorithm and Small Decoders for Algebraic-Geometric Codes
Hajime Matsui, Seiichi Mita
This paper proposes a novel algorithm for finding error-locators of algebraic-geometric codes that can eliminate the division-calculations of finite fields from the Berlekamp-Masse…