Document Type


Publication Date

April 2019

Publication Title

Advances in Science, Technology and Engineering Systems




The distribution of bit patterns is an important measure to check the randomness of a sequence. The authors of this paper observed this crucial property in a binary sequence which generated by using a primitive polynomial, trace function, and Legendre symbol defined over the sub extension field. The authors create a new dimension in the sequence generation research area by considering the sub extension field, whereas all our previous works are focused in the prime field. In terms of the distribution of bit patterns property, this research work has notable outcomes more specifically the binary sequence (defined over the sub extension field) holds much better (close to uniform) bit distribution than the previous binary sequence (defined over the prime field). Furthermore, the authors theoretically proved the distribution of bit property in this paper.


This article originally appeared in Advances in Science, Technology and Engineering Systems, Volume 4, Issue 2, 2019, published by the ASTES Journal. Permission to post article here was granted by the publisher. The article can also be found online at this link.
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