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  Gröbner basis solutions of constrained interpolation problems, Fourth special issue on linear systems and control (2002) [5 citations — 0 self]

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by Patrick Fitzpatrick
Linear Algebra Appl
http://euclid.ucc.ie/pages/staff/fitzpatrick/Papers/hok_pf_laa_final_july01.ps
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Abstract:

problems

Citations

402 Commutative Algebra with a View Toward Algebraic Geometry – Eisenbud - 1995
239 Grobner bases: A computational approach to commutative algebra – Becker, Weispfenning - 1993
170 Improved decoding of Reed-Solomon and algebraic-geometric codes – Guruswami, Sudan - 1999
162 Decoding of Reed-Solomon codes beyond the error-correction bound – Sudan - 1997
151 An Introduction to Gröbner Bases – Adams, Loustaunau - 1994
67 Algebraic soft-decision decoding of Reed-Solomon codes – Koetter, Vardy - 2003
51 Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra – Cox, Little, et al. - 1992
46 The theory of error-correcting codes – Sloane - 1977
41 Efficient decoding of Reed-Solomon codes beyond half the minimum distance – Roth, Ruckenstein - 2000
34 Error-correcting codes for list decoding – ELIAS - 1991
31 Decoding Reed-Solomon codes beyond half the minimum distance – Nielsen, Hholdt - 1998
22 A generalization of the Berlekamp-Massey algorithm for multisequence shift-register synthesis with applications to decoding cyclic codes – Feng, Tzeng - 1991
18 On the key equation – Fitzpatrick - 1995
16 Recursiveness in matrix rational interpolation problems – Beckermann, Labahn - 1997
16 Huffman (Eds.), Handbook of Coding Theory – Pless, C - 1998
4 Solving a Multivariable Congruence by Change of Term Order – Fitzpatrick - 1997
3 On the scalar rational interpolation problem – Fitzpatrick - 1996
1 Rational interpolation using Grobner bases: some numerical results – Fitzpatrick - 1997
1 Recursive construction of Grobner bases for the solution of polynomial congruences – O'Keee, Fitzpatrick