Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Very odd sequences.
AU - Inglis, Nicholas F. J.
AU - Wiseman, Julian D. A.
PY - 1995/7
Y1 - 1995/7
N2 - Suppose that n ε 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.
AB - Suppose that n ε 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.
U2 - 10.1016/0097-3165(95)90017-9
DO - 10.1016/0097-3165(95)90017-9
M3 - Journal article
VL - 71
SP - 89
EP - 96
JO - Journal of Combinatorial Theory, Series A
JF - Journal of Combinatorial Theory, Series A
SN - 0097-3165
IS - 1
ER -