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Answering a Question of Pott on Almost Perfect Sequences

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Abstract

Periodic binary (plus-minus) sequences all but one of whose out-of-phase autocorrelation coefficients are zero are studied by Wolfman [6]. Using the equivalence of these almost perfect sequences to certain cyclic divisible difference sets (noted by Bradley and Pott [1]), we settle the existence status of a perviously open case of an almost perfect sequence of length 852, thereby answering a question of Pott [5] negatively.

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References

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Arasu, K.T., Voss, N.J. Answering a Question of Pott on Almost Perfect Sequences. Designs, Codes and Cryptography 18, 7–10 (1999). https://doi.org/10.1023/A:1008316615026

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  • DOI: https://doi.org/10.1023/A:1008316615026

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