Finite Fields and Applications: 7th International by Wilfried Meidl, Arne Winterhof (auth.), Gary L. Mullen, PDF

By Wilfried Meidl, Arne Winterhof (auth.), Gary L. Mullen, Alain Poli, Henning Stichtenoth (eds.)

ISBN-10: 3540213244

ISBN-13: 9783540213246

ISBN-10: 3540246339

ISBN-13: 9783540246336

This e-book constitutes the completely refereed post-proceedings of the seventh overseas convention on Finite Fields and purposes, Fq7, held in Toulouse, France, in may possibly 2004.

The 19 revised complete papers provided have been conscientiously chosen from round 60 shows on the convention in the course of rounds of reviewing and revision. one of the issues addressed are Weierstrass semigroups, Galois earrings, hyperelliptic curves, polynomial irreducibility, pseudorandom quantity sequences, permutation polynomials, random polynomials, matrices, functionality fields, ramified towers, BCH codes, cyclic codes, primitive polynomials, protecting sequences, cyclic decompositions.

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Extra info for Finite Fields and Applications: 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003. Revised Papers

Example text

C. Carvalho and F. Torres, On Goppa codes and Weierstrass gaps at several points, preprint. 4. A. Garcia, S. J. Kim, and R. F. Lax, Consecutive Weierstrass gaps and minimum distance of Goppa codes, J. Pure Appl. Algebra 84 (1993), 199–207. 5. M. Homma, The Weierstrass semigroup of a pair of points on a curve, Arch. Math. 67 (1996), 337–348. 6. M. Homma and S. J. Kim, Goppa codes with Weierstrass pairs, J. Pure Appl. Algebra 162 (2001), 273–290. 7. S. J. Kim, On the index of the Weierstrass semigroup of a pair of points on a curve, Arch.

Kim, Weierstrass multiple loci of n-pointed algebraic curves, J. Algebra 199 (1998), 455–471. 3. C. Carvalho and F. Torres, On Goppa codes and Weierstrass gaps at several points, preprint. 4. A. Garcia, S. J. Kim, and R. F. Lax, Consecutive Weierstrass gaps and minimum distance of Goppa codes, J. Pure Appl. Algebra 84 (1993), 199–207. 5. M. Homma, The Weierstrass semigroup of a pair of points on a curve, Arch. Math. 67 (1996), 337–348. 6. M. Homma and S. J. Kim, Goppa codes with Weierstrass pairs, J.

208/209 (1999) 125-137. 2. : Nonassociative Galois Rings. Discrete Math. Appl. 12 (2002) 591-606. 3. : Coordinate Sets of Generalized Galois Rings. Journal of Algebra and its Applications (to appear). 4. : Cyclic Generalized Galois Rings (preprint). 5. : Separable algebras over commutative rings. Trans. Amer. Math. Soc. 122 (1966) 461-479. 6. : Finite semifields and projective planes. J. Algebra 2 (1965) 182-217. 7. : Algebraische Theorie der Ringe. II. Math. Ann. 91 (1924) 1-46. 8. : Linear codes and polylinear recurrences over finite rings and modules (a survey).

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Finite Fields and Applications: 7th International Conference, Fq7, Toulouse, France, May 5-9, 2003. Revised Papers by Wilfried Meidl, Arne Winterhof (auth.), Gary L. Mullen, Alain Poli, Henning Stichtenoth (eds.)


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