Linear complexity and autocorrelation of prime cube sequences

Young Joon Kim; Seok Yong Jin; Hong Yeop Song

doi:10.1007/978-3-540-77224-8_23

Linear complexity and autocorrelation of prime cube sequences

Young Joon Kim, Seok Yong Jin, Hong Yeop Song

Department of Electrical and Electronic Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

20 Citations (Scopus)

Abstract

We review a binary sequence based on the generalized cyclotomy of order 2 with respect to p³, where p is an odd prime. Linear complexities, minimal polynomials and autocorrelation of these sequences are computed.

Original language	English
Title of host publication	Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 17th International Symposium, AAECC- 17, Proceedings
Publisher	Springer Verlag
Pages	188-197
Number of pages	10
ISBN (Print)	9783540772231
DOIs	https://doi.org/10.1007/978-3-540-77224-8_23
Publication status	Published - 2007
Event	17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17 - Bangalore, India Duration: 2007 Dec 16 → 2007 Dec 20

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4851 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17
Country	India
City	Bangalore
Period	07/12/16 → 07/12/20

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

Access to Document

10.1007/978-3-540-77224-8_23

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Kim, Y. J., Jin, S. Y., & Song, H. Y. (2007). Linear complexity and autocorrelation of prime cube sequences. In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 17th International Symposium, AAECC- 17, Proceedings (pp. 188-197). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4851 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-540-77224-8_23

Kim, Young Joon ; Jin, Seok Yong ; Song, Hong Yeop. / Linear complexity and autocorrelation of prime cube sequences. Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 17th International Symposium, AAECC- 17, Proceedings. Springer Verlag, 2007. pp. 188-197 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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title = "Linear complexity and autocorrelation of prime cube sequences",

abstract = "We review a binary sequence based on the generalized cyclotomy of order 2 with respect to p3, where p is an odd prime. Linear complexities, minimal polynomials and autocorrelation of these sequences are computed.",

author = "Kim, {Young Joon} and Jin, {Seok Yong} and Song, {Hong Yeop}",

note = "Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17 ; Conference date: 16-12-2007 Through 20-12-2007",

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doi = "10.1007/978-3-540-77224-8_23",

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series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

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Kim, YJ, Jin, SY & Song, HY 2007, Linear complexity and autocorrelation of prime cube sequences. in Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 17th International Symposium, AAECC- 17, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4851 LNCS, Springer Verlag, pp. 188-197, 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, Bangalore, India, 07/12/16. https://doi.org/10.1007/978-3-540-77224-8_23

Linear complexity and autocorrelation of prime cube sequences. / Kim, Young Joon; Jin, Seok Yong; Song, Hong Yeop.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 17th International Symposium, AAECC- 17, Proceedings. Springer Verlag, 2007. p. 188-197 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4851 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

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Kim YJ, Jin SY, Song HY. Linear complexity and autocorrelation of prime cube sequences. In Applied Algebra, Algebraic Algorithms and Error-Correcting Codes - 17th International Symposium, AAECC- 17, Proceedings. Springer Verlag. 2007. p. 188-197. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). https://doi.org/10.1007/978-3-540-77224-8_23