Cross-Correlation Properties of Perfect Binary Sequences

Hertel, Doreen

doi:10.1007/11423461_14

Cited by 6 publications

(2 citation statements)

References 14 publications

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“…If multiple sequences are used in an application (more specifically in any security application), then it is important to analyze their cross-correlation property to evaluate how much similar these sequences to each other. Considering this point, the cross-correlation value is preferred to be low [18,19]. Let S = {ŝ i } and S = {s i } be two sequences and x be the shift value, then the cross-correlation R S (x) betweenŜ and S can be calculated by using the following equation as,…”

Section: Autocorrelation and Cross-correlationmentioning

confidence: 99%

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

Ali

Kodera²,

Rabbi

et al. 2019

Adv. sci. technol. eng. syst. j.

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The authors propose a well balanced multi-value sequence (including a binary sequence). All the sequence coefficients (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 of the autocorrelation and cross-correlation can be explicitly given by the authors formulated theorems. In addition, to ensure the usability of the proposed multi-value sequence, the authors introduce its flexibility by making it a binary sequence. Furthermore, this paper also introduces a comparison in terms of the linear complexity and distribution of bit patterns properties with their previous works. According to the comparison results, the proposed sequence holds better properties compared to our previous sequence.

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Section: Autocorrelation and Cross-correlationmentioning

confidence: 99%

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

Ali

Kodera²,

Rabbi

et al. 2019

Adv. sci. technol. eng. syst. j.

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“…To do so, the cross-correlation property needs to be evaluated. Considering the security aspects, the value of the cross-correlation preferred to be low because the higher value of cross-correlation, the more similar the sequences to each other [21]. Let…”

Section: Autocorrelation and Cross-correlationmentioning

confidence: 99%

Multi-Value Sequence Generated over Sub Extension Field and Its Properties

Ali¹,

Kodera²,

Kusaka³

et al. 2019

JIS

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Pseudo-random sequences with long period, low correlation, high linear complexity, and uniform distribution of bit patterns are widely used in the field of information security and cryptography. This paper proposes an approach for generating a pseudo-random multi-value sequence (including a binary sequence) by utilizing a primitive polynomial, trace function, and k-th power residue symbol over the sub extension field. All our previous sequences are defined over the prime field, whereas, proposed sequence in this paper is defined over the sub extension field. Thus, it's a new and innovative perception to consider the sub extension field during the sequence generation procedure. By considering the sub extension field, two notable outcomes are: proposed sequence holds higher linear complexity and more uniform distribution of bit patterns compared to our previous work which defined over the prime field. Additionally, other important properties of the proposed multi-value sequence such as period, autocorrelation, and cross-correlation are theoretically shown along with some experimental results.

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Crosscorrelation Properties of Binary Sequences with Ideal Two-Level Autocorrelation

Gong

2006

Sequences and Their Applications – SETA 2006

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Cross-Correlation Properties of Perfect Binary Sequences

Cited by 6 publications

References 14 publications

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

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

Multi-Value Sequence Generated over Sub Extension Field and Its Properties

Crosscorrelation Properties of Binary Sequences with Ideal Two-Level Autocorrelation

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