Very odd sequences

Autor: Julian D. A. Wiseman, Nicholas F. J. Inglis
Rok vydání: 1995
Předmět:
Zdroj: Journal of Combinatorial Theory, Series A. 71(1):89-96
ISSN: 0097-3165
DOI: 10.1016/0097-3165(95)90017-9
Popis: Suppose that n ϵ N and a = (a0, …, an − 1) is a sequence of length n with ai ϵ {0, 1}. For 0 ⩽ k ⩽ n − 1, let We call the sequence avery odd if Ak is odd for 0 ⩽ k ⩽ n − 1. We prove that there are very odd sequences of length n > 1 if and only if the order of 2 is odd in the multiplicative group of integers modulo 2n − 1.
Databáze: OpenAIRE
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