Applied Algebra Algebraic Algorithms and Error Correcting Codes : 15th International Symposium AAECC 15 Toulouse France May 12–16 2003 Proceedings This book constitutes the refereed proceedings of the 15th International Symposium on Applied Algebra Algebraic Algorithms and Error Correcting Codes AAECC 15 held in Toulouse France in May 2003. The 25 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 40 submissions. Among the subjects addressed are block codes; algebra and codes: rings fields and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra Galois groups differential algebra and polynomials