Abstract
In this paper, we investigate the existence of modular sonar sequences of length v and mod v where v is a product of twin primes. For v = 3·5 = 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: Golomb, S.W., Gong, G., Helleseth, T., Song, HY. (eds) Sequences, Subsequences, and Consequences. Lecture Notes in Computer Science, vol 4893. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77404-4_18
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DOI: https://doi.org/10.1007/978-3-540-77404-4_18
Publisher Name: Springer, Berlin, Heidelberg
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