On abelian difference set codes
โ Scribed by Alexander Pott
- Book ID
- 104639385
- Publisher
- Springer
- Year
- 1992
- Tongue
- English
- Weight
- 480 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0925-1022
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper we determine the ranks of the incidence matrices tha~ belong to the following types of difference sets: "[Win prime power difference sets, biquadratie residues and biquadratic residues with O. We also prove a conjecture of Assmus and Key on the code generated by the hyperovals of PC_r(2, q).
๐ SIMILAR VOLUMES
It is shown that there does not exist a reversible abelian Hadamard di erence set in Z 2 2 ร Z 2 9 or Z 2 4 รZ 2 3 . This settles the last two open cases for the existence of reversible (4N 2 ; 2N 2 -N; N 2 -N )abelian Hadamard di erence sets with N ยก10.
Gao, S. and W. Wei, On non-Abelian group difference sets, Discrete Mathematics 112 (1993) 93-102. This paper is motivated by Bruck's paper (1955) in which he proved that the existence of cyclic projective plane of order n E 1 (mod 3) implies that of a nonplanar difference set of the same order by p