Title :
Constructions of authentication codes from algebraic curves over finite fields
Author :
Xing, Chaoping ; Wang, Huaxiong ; Lam, Kwok Yan
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
fDate :
5/1/2000 12:00:00 AM
Abstract :
We present a new application of algebraic curves over finite fields to the constructions of universal hash families and unconditionally secure codes. We show that the constructions derived from the Garcia-Stichtenoth curves yield new classes of authentication codes and universal hash families which are substantially better than those previously known
Keywords :
codes; cryptography; message authentication; Garcia-Stichtenoth curves; algebraic curves; authentication codes; finite fields; unconditionally secure codes; universal hash families; Application software; Authentication; Chaos; Codes; Complexity theory; Computer science; Cryptography; Galois fields; Information retrieval; Sampling methods;
Journal_Title :
Information Theory, IEEE Transactions on
