C. Ding, T. Helleseth
tlooto Summary
This paper first introduces a new generalized cyclotomy of order 2 with respect tope11···pett, then it calculates the new cyclotomic numbers of order 1 and points out their applications.
Abstract
In this paper we first introduce a new generalized cyclotomy of order 2 with respect tope11···pett, then we calculate the new cyclotomic numbers of order 2. Some applications of the new cyclotomy in sequences, cryptography, and coding theory are also discussed. In the last section of this paper, we introduce more generalized cyclotomies and point out their applications. The major motivation behind the new generalized cyclotomies is the construction of binary duadic codes.
Citation format
DING, C.; HELLESETH, T. New generalized cyclotomy and its applications. FINITE FIELDS AND THEIR APPLICATIONS, 1998, 4: 140–166.