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Author/Affiliation: Takuya Kusaka
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Open AccessArticle
9 Pages, 319 KB Download PDF

Well Balanced Multi-value Sequence and its Properties Over Odd Characteristic Field

Advances in Science, Technology and Engineering Systems Journal, Volume 4, Issue 4, Page # 188–196, 2019; DOI: 10.25046/aj040423
Abstract:

The authors propose a well balanced multi-value sequence (including a binary sequence). All the sequence coe_cients (except the zero) appear almost the same in number, thus, the proposed sequence is so called the well balanced sequence. This paper experimentally describes some prominent features regarding a sequence, for instance, its period, autocorrelation, and cross-correlation. The value…

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(This article belongs to the SP7 (Special Issue on Advancement in Engineering and Computer Science 2019) & Section Interdisciplinary Applications of Computer Science (CSI))
Open AccessArticle
10 Pages, 403 KB Download PDF

Distribution of Bit Patterns in Binary Sequence Generated Over Sub Extension Field

Advances in Science, Technology and Engineering Systems Journal, Volume 4, Issue 2, Page # 370–379, 2019; DOI: 10.25046/aj040246
Abstract:

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…

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(This article belongs to the SP7 (Special Issue on Advancement in Engineering and Computer Science 2019) & Section Mathematics (MAT))

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