Trace Representation over Fr of Binary Jacobi Sequences with Period pq
Minglong Qi, Shengwu Xiong, Jingling Yuan, Wenbi Rao, Luo Zhong · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2015
In this letter, we give a trace representation of binary Jacobi sequences with period pq over an extension field of the odd prime field Fr. Our method is based on the use of a pqth root of unity over the extension field, and the representation of the Jacobi sequences by corresponding indicator functions and quadratic characters of two primes p and q.