On the Decoding of Cyclic Codes Using Gröbner Bases

Shift-register synthesis and BCH decoding

J. Massey · IEEE Transactions on Information Theory · 1969 · 2.2K citations

Logic Synthesis, Decoding Problem, Engineering +12

Efficient Computation of Zero-dimensional Gröbner Bases by Change of Ordering

Jean‐Charles Faugère, P. Gianni, Daniel Lazard et al. · Journal of Symbolic Computation · 1993 · 592 citations

Zero-dimensional Gröbner Bases, Algebraic Method, Algebraic Combinatorics +4

Encoding and error-correction procedures for the Bose-Chaudhuri codes

W. W. Peterson · IEEE Transactions on Information Theory · 1960 · 294 citations

Xml Library, Quantum Science, Engineering +12

A generalization of the Berlekamp-Massey algorithm for multisequence shift-register synthesis with applications to decoding cyclic codes

G.L. Feng, K.K. Tzeng · IEEE Transactions on Information Theory · 1991 · 204 citations

Engineering, Fundamental Iterative Algorithm, Algebraic Coding Theory +13

On the key equation

Patrick Fitzpatrick · IEEE Transactions on Information Theory · 1995 · 98 citations

Public Key Algorithm, Mathematical Foundations, Key Equation +3