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On \((n,k)\)-sequences

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Publication:1582080
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DOI10.1016/S0166-218X(00)00183-9zbMath0971.05032MaRDI QIDQ1582080

Hong-Yeop Song, June Bok Lee

Publication date: 30 October 2001

Published in: Discrete Applied Mathematics (Search for Journal in Brave)


zbMATH Keywords

permutationdifference triangles\((n,k)\)-sequenceFlorentine and Vatican arraysfrequency hopping codessingly periodic Costas sequence


Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Orthogonal arrays, Latin squares, Room squares (05B15) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Special sequences and polynomials (11B83)


Related Items

Circular Tuscan-\(k\) arrays from permutation binomials


Uses Software

  • OEIS


Cites Work

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  • Tuscan-K squares
  • A Hamiltonian decomposition of \(K^*_{2m},2m\geq 8\)
  • Florentine rows or left-right shifted permutation matrices with cross- correlation values \(\leq 1\)
  • The existence of circular Florentine arrays
  • On the nonperiodic cyclic equivalence classes of Reed-Solomon codes
  • Families of sequences with optimal Hamming-correlation properties
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