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- W1975329830 abstract "We study the complex p-ary perfect and nearly perfect sequences where p is an odd prime and show that the existence of such sequences is equivalent to the existence of certain kinds of difference sets. Using results from difference sets, there are no p-ary perfect sequences of length p3 for s ≥ 3, 2p3 for s≥1, and pq for prime q > p. Also, there are no ternary perfect sequences of length 3q1q2 for primes q1, q2 where 3< q1 < q2. Using the standard 'self-conjugate' conditions, more non-existence results on perfect and nearly perfect sequences are obtained. To summarise the works, tables of existence and non-existence of perfect and nearly perfect sequences of length n are listed for 2 ≤n≤50" @default.
- W1975329830 created "2016-06-24" @default.
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- W1975329830 date "2009-01-01" @default.
- W1975329830 modified "2023-09-26" @default.
- W1975329830 title "On non-existence of perfect and nearly perfect sequences" @default.
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- W1975329830 doi "https://doi.org/10.1504/ijicot.2009.024045" @default.
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