On the k-error linear complexity of generalised cyclotomic sequences
by Longfei Liu; Xiaoyuan Yang; Xiaoni Du; Bin Wei
International Journal of High Performance Computing and Networking (IJHPCN), Vol. 9, No. 5/6, 2016

Abstract: Generalised cyclotomic binary sequences are divided into Whiteman-generalised cyclotomic and Ding-generalised cyclotomic. Firstly, two classes of error generalised cyclotomic sequences with length pq over Zpq are constructed; secondly, k-error linear complexity of generalised cyclotomic sequences are considered, using the trace representation and cyclotomic theory, respectively. It is shown that k-error linear complexity of generalised cyclotomic sequences do not exceed p + q-1 which is much less than the (zero-error) linear complexity.

Online publication date: Tue, 22-Nov-2016

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