Partial Difference Sets with Paley Parameters Ka

  title={Partial Difference Sets with Paley Parameters Ka},
  author={H B Leung and SIU LUN},
Partial difference sets with parameters (v,k,k,/x) = (v,(v— l)/2,(v — 5)/4,(v— l)/4) are called Paley partial difference sets. By using finite local rings, we construct a family of Paley PDSs for abelian/7-groups with any given exponent. Furthermore, we prove some non-existence results on Paley PDSs. Using these results, we prove that Paley PDSs exist in a rank 2 abelian group if and only if the group is isomorphic to Zpr x Zpr where p is an odd prime. 

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Publications referenced by this paper.
Showing 1-10 of 10 references

A survey of partial difference sets

  • L MAS.
  • Design Codes Cryptography
  • 1994
1 Excerpt

POTT, 'Symmetric divisible designs with k — Xi = \

  • Discrete Math
  • 1991
1 Excerpt

Polynomial addition sets and symmetric difference sets', Coding theory and design theory, Part II

  • L MAS.
  • IMA Vol. Math. Appl. 21 (ed. D
  • 1990
1 Excerpt

On association schemes, Schur rings, strongly regular graphs and partial difference sets

  • L MAS.
  • Ars Combin
  • 1989
1 Excerpt

CASSELS, Local fields (Cambridge

  • W S.J.
  • 1986

Polynomial addition sets

  • L MAS.
  • PhD Thesis, University of Hong Kong
  • 1985

GOLOMB, Shift register sequence (Holden-Day

  • S W.
  • San Francisco,
  • 1967
1 Excerpt

PALEY, 'On orthogonal matrices

  • A C.R.E.
  • J. Math. Phys
  • 1933
1 Excerpt

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