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A Family of Semi-Regular Divisible Difference Sets

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Abstract

We give a construction of semi-regular divisible difference sets with parameters

m = p2a(r−1)+2b (pr − 1)/(p − 1), n = pr, k = p(2a+1)(r−1)+2b (pr − 1)/(p − 1)

λ1 = p(2a+1)(r−1)+2b (pr−1 − 1)/(p-1), λ2 = p2(a+1)(r−1)−r+2b (pr − 1)/(p − 1)

where p is a prime and r ≥ a + 1.

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Authors and Affiliations

  1. Department of Mathematics, National University of Singapore, Kent Ridge, Singapore, 119260, Republic of Singapore

    Siu Lun Ma

  2. Department of Mathematics, The Ohio State University, Columbus, Ohio, 43210

    Surinder K. Sehgal

Authors
  1. Siu Lun Ma
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  2. Surinder K. Sehgal
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Ma, S.L., Sehgal, S.K. A Family of Semi-Regular Divisible Difference Sets. Designs, Codes and Cryptography 11, 73–78 (1997). https://doi.org/10.1023/A:1008203025476

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  • DOI: https://doi.org/10.1023/A:1008203025476

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