Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
391903 | Information Sciences | 2013 | 5 Pages |
Abstract
In this correspondence, we consider the equivalent condition that a sequence possesses ideal autocorrelation function. As we know, for a binary sequence, the equivalent condition is that the characteristic class of this sequence consists of two cyclic difference sets. This paper proves that, for a p-ary sequence with d-form property, the equivalent condition is that its characteristic class consists of one cyclic divisible difference sets and p − 1 relative difference sets. Moreover, a new way to construct cyclic divisible difference sets is presented.
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Tongjiang Yan, Guozhen Xiao,