Existence of modular sonar sequences of twin-prime product length

Sung Jun Yoon, Hong Yeop Song

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationSequences, Subsequences, and Consequences - International Workshop, SSC 2007, Revised Invited Papers
Pages184-191
Number of pages8
Publication statusPublished - 2007 Dec 1
EventInternational Workshop on Sequences, Subsequences, and Consequences, SSC 2007 - Los Angeles, CA, United States
Duration: 2007 May 312007 Jun 2

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4893 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

OtherInternational Workshop on Sequences, Subsequences, and Consequences, SSC 2007
CountryUnited States
CityLos Angeles, CA
Period07/5/3107/6/2

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All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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).