Existence of modular sonar sequences of twin-prime product length

Sung Jun Yoon; Hong Yeop Song

doi:10.1007/978-3-540-77404-4_18

Existence of modular sonar sequences of twin-prime product length

Sung Jun Yoon, Hong Yeop Song

Department of Electrical and Electronic Engineering

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

1 Citation (Scopus)

Abstract

In this paper, we investigate the existence of modular sonar sequences of length v and mod v where D is a product of twin primes. For v = 35 = 15, we have found some old and new examples by exhaustive search. However, the very next case v = 5 · 7 = 35 is completely open, in that neither we know (have) an example, nor we prove the nonexistence. We describe simply some approach to locate a single example of modular sonar sequences of length 35 and mod 35, assuming (or hoping) that one exists.

Original language	English
Title of host publication	Sequences, Subsequences, and Consequences - International Workshop, SSC 2007, Revised Invited Papers
Publisher	Springer Verlag
Pages	184-191
Number of pages	8
ISBN (Print)	3540774033, 9783540774037
DOIs	https://doi.org/10.1007/978-3-540-77404-4_18
Publication status	Published - 2007
Event	International Workshop on Sequences, Subsequences, and Consequences, SSC 2007 - Los Angeles, CA, United States Duration: 2007 May 31 → 2007 Jun 2

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4893 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	International Workshop on Sequences, Subsequences, and Consequences, SSC 2007
Country/Territory	United States
City	Los Angeles, CA
Period	07/5/31 → 07/6/2

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science(all)

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10.1007/978-3-540-77404-4_18

Cite this

Yoon, S. J., & Song, H. Y. (2007). Existence of modular sonar sequences of twin-prime product length. In Sequences, Subsequences, and Consequences - International Workshop, SSC 2007, Revised Invited Papers (pp. 184-191). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4893 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-540-77404-4_18

Yoon, Sung Jun ; Song, Hong Yeop. / Existence of modular sonar sequences of twin-prime product length. Sequences, Subsequences, and Consequences - International Workshop, SSC 2007, Revised Invited Papers. Springer Verlag, 2007. pp. 184-191 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "In this paper, we investigate the existence of modular sonar sequences of length v and mod v where D is a product of twin primes. For v = 35 = 15, we have found some old and new examples by exhaustive search. However, the very next case v = 5 · 7 = 35 is completely open, in that neither we know (have) an example, nor we prove the nonexistence. We describe simply some approach to locate a single example of modular sonar sequences of length 35 and mod 35, assuming (or hoping) that one exists.",

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Yoon, SJ & Song, HY 2007, Existence of modular sonar sequences of twin-prime product length. in Sequences, Subsequences, and Consequences - International Workshop, SSC 2007, Revised Invited Papers. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4893 LNCS, Springer Verlag, pp. 184-191, International Workshop on Sequences, Subsequences, and Consequences, SSC 2007, Los Angeles, CA, United States, 07/5/31. https://doi.org/10.1007/978-3-540-77404-4_18

Existence of modular sonar sequences of twin-prime product length. / Yoon, Sung Jun; Song, Hong Yeop.
Sequences, Subsequences, and Consequences - International Workshop, SSC 2007, Revised Invited Papers. Springer Verlag, 2007. p. 184-191 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4893 LNCS).

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

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AB - In this paper, we investigate the existence of modular sonar sequences of length v and mod v where D is a product of twin primes. For v = 35 = 15, we have found some old and new examples by exhaustive search. However, the very next case v = 5 · 7 = 35 is completely open, in that neither we know (have) an example, nor we prove the nonexistence. We describe simply some approach to locate a single example of modular sonar sequences of length 35 and mod 35, assuming (or hoping) that one exists.

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Yoon SJ, Song HY. Existence of modular sonar sequences of twin-prime product length. In Sequences, Subsequences, and Consequences - International Workshop, SSC 2007, Revised Invited Papers. Springer Verlag. 2007. p. 184-191. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/978-3-540-77404-4_18

Existence of modular sonar sequences of twin-prime product length

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