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Trading Signed Designs and Some New 4-(12, 5, 4) Designs

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Abstract

Variations of the trade-off method exist in the literature of design theory and have been utilized by some authors to produce some t-designs with or without repeated blocks. In this paper we explore a new version of this algorithmic method (i) to produce 20 nonisomorphic and rigid 4-(12,5,4) designs, (ii) to study the spectrum of support sizes of 4-(12,5,4) designs. Along these, we also present a new design invariant for testing isomorphism among designs and a new way of representing t-designs.

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Authors and Affiliations

  1. Institute for Studies in Theoretical Physics and Mathematics, and Department of Mathematics, University of Tehran, P.O. Box 19395, 1795, Tehran, Iran

    G. B. Khosrovshahi

  2. Institute for Studies in Theoretical Physics and Mathematics, University of Tehran, P.O. Box 19395, 1795, Tehran, Iran

    A. Nowzari-Dalini & R. Torabi

Authors
  1. G. B. Khosrovshahi
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  2. A. Nowzari-Dalini
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  3. R. Torabi
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Khosrovshahi, G.B., Nowzari-Dalini, A. & Torabi, R. Trading Signed Designs and Some New 4-(12, 5, 4) Designs. Designs, Codes and Cryptography 11, 279–288 (1997). https://doi.org/10.1023/A:1008298229019

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