"This handbook provides a comprehensive survey of codes and sequences, ranging from mathematical foundations to applications in various areas and bridging the gap between theory and practice. Each chapter contains the contributions of leading researchers in the field."
"This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; ..."
"The AAECC Symposia Series was started in 1983 by Alain Poli (Toulouse), who, together with R. Desq, D. Lazard, and P. Camion, organized the ?rst conference. Originally the acronym AAECC meant "Applied Algebra and Error-Correcting Codes". Over the years its meaning has shifted to "Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes", re?ecting the growing importance of complexity in both decoding ..."
"Applying the similar arguments, it is easy to show that if a cyclic code C of length
n, (n, q) = 1, over Z, is generated by a polynomial g(x) | (a." – 1) then g(x), a g(x),...
, w"g(r) form a basis for C over Zq. Further, as in the finite field case, it is
straightforward to show that if a cyclic code of length n over Z, is generated by a
polynomial g(x) dividing a " — 1 in Zg|a|, then it is also generated by a polynomial
f(a) g(a) ..."