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Relations between two perfect ternary sequence constructions

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Abstract

Both R. Games [4] and V.P. Ipatov [8] have given constructions for perfect ternary sequences. Games uses difference sets and quadrics in projective space, while Ipatov uses q-ary m-sequences. We show that the Ipatov sequences are a subset of the Games sequences. Further, we show that a conjecture of Games relating to quadrics in projective spaces does not hold in general.

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Communicated by G.J. Simmons

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Jackson, W.A., Wild, P.R. Relations between two perfect ternary sequence constructions. Des Codes Crypt 2, 325–332 (1992). https://doi.org/10.1007/BF00125201

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  • DOI: https://doi.org/10.1007/BF00125201

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