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Matsui, Hajime; Sakata, S.; Kurihara, M.; Mita, Seiichi

Systolic array architecture implementing Berlekamp-Massey-Sakata algorithm for decoding codes on a class of algebraic curves. (English) Zbl 1317.94158

IEEE Trans. Inf. Theory 51, No. 11, 3856-3871 (2005).

MSC:

94B35 Decoding
94B27 Geometric methods (including applications of algebraic geometry) applied to coding theory
14G50 Applications to coding theory and cryptography of arithmetic geometry
68W30 Symbolic computation and algebraic computation

Keywords:

Berlekamp-Massey-Sakata (BMS) algorithm; Gröbner basis; codes on algebraic curves; parallel decoding; systolic array
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