𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Hadamard difference sets related to Lander's conjecture

✍ Scribed by Feng, Tao; Leung, Ka Hin; Schmidt, Bernhard; Smith, Ken W.

Book ID
122514188
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
318 KB
Volume
403
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A conjecture on the existence of cyclic
A conjecture on the existence of cyclic Hadamard difference sets
✍ Solomon W. Golomb; Hong-Yeop Song πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 146 KB

If there exists a cyclic Hadamard difference set of length v, then v = 4n -1 is conjectured to be either a prime, or a product of "twin primes", or one less than a power of 2.

On Xia's Construction of Hadamard Differ
On Xia's Construction of Hadamard Difference Sets
✍ Qing Xiang; Yu Qing Chen πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 235 KB

In this paper, we present a new way of viewing Xia's construction of Hadamard difference sets. Based on this new point of view, we give a character theoretic proof for Xia's construction. Also we point out a connection between the construction and projective three-weight codes.

McFarland's conjecture on abelian differ
McFarland's conjecture on abelian difference sets with multiplier βˆ’1
✍ S. L. Ma πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 356 KB

This paper is a continuation of the work by R.L. McFarland and S.L. Ma on abelian difference sets with -1 as a multiplier. More nonexistence results are obtained as a consequence of a theorem on the existence of sub-difference sets. In particular, nonexistence is shown fi3r the two cases left undeci