General theory of doubly periodic arrays over an arbitrary finite field and its applications. - Shojiro Sakata (IEEE Trans. Inf. Theory, 1978)

On determining the independent point set for doubly periodic arrays and encoding two-dimensional cyclic codes and their duals. - Shojiro Sakata (IEEE Trans. Inf. Theory, 1981)

Synthesis of Two-Dimensional Linear Feedback Shift Registers and Groebner Bases. - Shojiro Sakata (AAECC, 1987)

N-Dimensional Berlekamp-Massey Algorithm for Multiple Arrays and Construction of Multivariate Polynomials with Preassigned Zeros. - Shojiro Sakata (AAECC, 1988)

Reconstruction Of Surfaces Of 3-D Objects By M-array Pattern Projection Method. - Hiroyoshi Morita; Kaanyasn Yajima; Shojiro Sakata (ICCV, 1988)

Finding a Minimal Set of Linear Recurring Relations Capable of Generating a Given Finite Two-Dimensional Array. - Shojiro Sakata (J. Symb. Comput., 1988)

Cycle representatives of quasi-irreducible two-dimensional cyclic codes. - Shojiro Sakata (IEEE Trans. Inf. Theory, 1988)

A Gröbner Basis and a Minimal Polynominal Set of a Finite nD Array. - Shojiro Sakata (AAECC, 1990)

Partial realization of 2-D discrete linear system and 2-D Pade approximation and reduction of 2-D rational transfer function. - Shojiro Sakata (Proc. IEEE, 1990)

Extension of the Berlekamp-Massey Algorithm to N Dimensions - Shojiro Sakata (Inf. Comput., 1990)

Finding a Minimal Polynomial Vector Set of a Vector of nD Arrays. - Shojiro Sakata (AAECC, 1991)

Two-dimensional shift register synthesis and Gröbner bases for polynomial ideals over an integer residue ring. - Shojiro Sakata (Discret. Appl. Math., 1991)

Decoding binary 2-D cyclic codes by the 2-D Berlekamp-Massey algorithm. - Shojiro Sakata (IEEE Trans. Inf. Theory, 1991)

A Fast Parallel Implementation of the Berlekamp-Massey Algorithm with a One-D Systolic Array Architecture. - Shojiro Sakata; Masazumi Kurihara (AAECC, 1995)

Generalized Berlekamp-Massey decoding of algebraic-geometric codes up to half the Feng-Rao bound. - Shojiro Sakata; Helge Elbrønd Jensen; Tom Høholdt (IEEE Trans. Inf. Theory, 1995)

Fast decoding of algebraic-geometric codes up to the designed minimum distance. - Shojiro Sakata; Jørn Justesen; Y. Madelung; Helge Elbrønd Jensen; Tom Høholdt (IEEE Trans. Inf. Theory, 1995)

A Vector Version of the BMS Algorithm for Implementing Fast Erasure-and-Error Decoding of One-Point AG Codes. - Shojiro Sakata (AAECC, 1997)

Fast Erasure-and-Error Decoding of Algebraic Geometry Codes up to the Feng-Rao Bound. - Shojiro Sakata; Douglas A. Leonard; Helge Elbrønd Jensen; Tom Høholdt (IEEE Trans. Inf. Theory, 1998)

A Systolic Array Architecture for Fast Decoding of One-Point AG Codes and Scheduling of Parallel Processing on It. - Shojiro Sakata; Masazumi Kurihara (AAECC, 1999)

On Fast Interpolation Method for Guruswami-Sudan List Decoding of One-Point Algebraic-Geometry Codes. - Shojiro Sakata (AAECC, 2001)

Compound-Error-Correcting Codes and Their Augmentation. - Masaya Fujisawa; Shusuke Maeda; Shojiro Sakata (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2003)

A class of quasi-cyclic regular LDPC codes from cyclic difference families with girth 8. - Masaya Fujisawa; Shojiro Sakata (ISIT, 2005)

Multiple-sequence BM algorithm can be replaced by a succession of single-sequence BM algorithm. - Shojiro Sakata (ISIT, 2005)

Systolic array architecture implementing Berlekamp-Massey-Sakata algorithm for decoding codes on a class of algebraic curves. - Hajime Matsui; Shojiro Sakata; Masazumi Kurihara; Seiichi Mita (IEEE Trans. Inf. Theory, 2005)

A Construction of High Rate Quasi-Cyclic Regular LDPC Codes from Cyclic Difference Families with Girth 8. - Masaya Fujisawa; Shojiro Sakata (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2007)

The BMS Algorithm. - Shojiro Sakata (Gröbner Bases, Coding, and Cryptography, 2009)

The BMS Algorithm and Decoding of AG Codes. - Shojiro Sakata (Gröbner Bases, Coding, and Cryptography, 2009)

Can the BMS Algorithm Decode Up to [/dg-g-1)/2] Errors? Yes, but with Some Additional Remarks. - Shojiro Sakata; Masaya Fujisawa (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2010)

Improved multipoint codes from Hermitian curves. - Masaya Fujisawa; Shojiro Sakata (ISITA, 2012)

Fast Decoding of Multipoint Codes from Algebraic Curves. - Shojiro Sakata; Masaya Fujisawa (IEEE Trans. Inf. Theory, 2014)

Fast Decoding of Dual Multipoint Codes From Algebraic Curves Up to the Kirfel-Pellikaan Bound. - Shojiro Sakata; Masaya Fujisawa (IEEE Trans. Inf. Theory, 2018)

Two-dimensional Lee-Error-Correcting Codes on Hexagonal Signal Constellations. - Hiroyoshi Morita; Masaya Fujisawa; Shojiro Sakata (ITW, 2021)