A Difference Set in (\mathbb{Z}/{\boldmath 4}\mathbb{Z})^{\boldmath 3}\times \mathbb{Z}/{\boldmath 5}\mathbb{Z}

  • Authors:

  • K. T. Arasu;Yu Qing Chen

  • Affiliations:

  • Department of Mathematics and Statistics, Wright State University, Dayton, OH 45435 karasu@math.wright.edu;Department of Mathematics, RMIT-City Campus, GPO Box 2476v, Melbourne, Victoria 3001, Australia rmayc@gauss.ma.rmit.edu.au

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2001

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Abstract

We present a (320, 88, 24)-difference set in (\mathbb{Z}/4\mathbb{Z})^3 \times\mathbb{Z}/5\mathbb{Z}, the existence of which was previously open. This new difference set improves a theorem of Davis-Jedwab with the removal of the “exceptional” case. It also enables us to state a theorem of Schmidt on Davis-Jedwab difference sets more neatly.