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- W3030938244 abstract "Let M be a square-free odd integer and Z=(M) the integer residue ring modulo M . This paper studies the distinctness of primitive sequences over Z=(M) modulo 2. Recently, for the case of M = pq, a product of two distinct prime numbers p and q, the problem has been almost completely solved. As for the case that M is a product of more prime numbers, the problem has been quite resistant to proof. In this paper, a partial proof is given by showing that a class of primitive sequences of order 2k+1 over Z=(M) is distinct modulo 2. Besides as an independent interest, the paper also involves two distribution properties of primitive sequences over Z=(M), which related closely to our main results." @default.
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- W3030938244 date "2012-01-01" @default.
- W3030938244 modified "2023-09-24" @default.
- W3030938244 title "On the distinctness of binary sequences derived from primitive sequences modulo square-free odd integers." @default.
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