Generalized Welch-Costas sequences and their application to Vatican arrays

Hong Y. Song, Solomon W. Golomb · Contemporary mathematics - American Mathematical Society · 1994

Abstract. We propose a family of sequences, a1�a2�::: �akn, of length kn for all positive integers n and k. A permutation a1�a2�a3�::: �akn of 0 � 1 � 2�::: �kn; 1isan(n � k)-sequence if as+d; as 6 at+d; at (mod n) for every s � t and d suchthat1 s<t

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