Title :
Results relating to code construction on a tower of function fields meeting the Drinfeld-Vladut bound
Author :
Aleshnikov, I. ; Stichtenoth, H. ; Deolalikar, V. ; Kumar, P.V. ; Shum, K.
Author_Institution :
Essen Univ., Germany
Abstract :
A convenient set of functions is identified whose span includes all functions in a tower of function fields of Garcia and Stichtenoth (see Journal of Number Theory, vol.61, no.2, p.248-73, 1996) that have poles only at the place at infinity. The latter set is of interest in the construction of long and efficient algebraic geometric (AG) codes
Keywords :
algebraic geometric codes; functional analysis; poles and zeros; Drinfeld-Vladut bound; algebraic geometric codes; code construction; efficient AG codes; function fields towers; long AG codes; poles; Concatenated codes; H infinity control; Poles and towers; Polynomials; Upper bound;
Conference_Titel :
Information Theory, 2000. Proceedings. IEEE International Symposium on
Conference_Location :
Sorrento
Print_ISBN :
0-7803-5857-0
DOI :
10.1109/ISIT.2000.866463
