The last packing number of quadruples, and cyclic SQS

DOI10.1007/BF01418528zbMath0797.05029OpenAlexW2073943400MaRDI QIDQ1309825

Tuvi Etzion, Sara Bitan

Publication date: 6 January 1994

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01418528

zbMATH Keywords

upper boundlower boundHamming distancepacking numbercodesquadruplesorthogonal codesSteiner Quadruple SystemsKöhler orbit graphoptimal extended cyclic codes

Mathematics Subject Classification ID

Other designs, configurations (05B30) Cyclic codes (94B15) Combinatorial aspects of packing and covering (05B40)

Related Items (11)

A powerful method for constructing difference families and optimal optical orthogonal codes ⋮ Combinatorial constructions of optimal \((m,n,4,2)\) optical orthogonal signature pattern codes ⋮ Optical orthogonal codes obtained from conics on finite projective planes ⋮ New optical orthogonal signature pattern codes with maximum collision parameter 2 and weight 4 ⋮ On the chromatic number, colorings, and codes of the Johnson graph ⋮ Constructions for strictly cyclic 3-designs and applications to optimal OOCs with \(\lambda =2\) ⋮ Constructions for rotational Steiner quadruple systems ⋮ Asymptotic determination of the last packing number of quadruples ⋮ Symmetric abelian group-invariant Steiner quadruple systems ⋮ Constructions of dihedral Steiner quadruple systems ⋮ Steiner quadruple systems with point-regular abelian automorphism groups

Cites Work

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• Maximal and minimal coverings of (k - 1)-tuples by k-tuples
• Upper bounds for constant weight error correcting codes
• A new table of constant weight codes
• On Quadruple Systems
• New lower bounds for constant weight codes
• Optical orthogonal codes-new bounds and an optimal construction
• Optical orthogonal codes: design, analysis and applications
• On Cyclic Steiner SystemsS(3, 4, 22)
• On Cyclic Steiner Systems S(3, 4, 20)
• Maximal consistent families of triples

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