Constructions of Nested Partial Difference Sets with Galois Rings
β Scribed by John B. Polhill
- Book ID
- 110332758
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 111 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0925-1022
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In a previous paper, [Des., Codes and Cryptogr. 8 (1996), 215 227]; we used Galois rings to construct partial difference sets, relative difference sets and a difference set. In the present paper, we first generalize and improve the construction of partial difference sets in [Des., Codes and Cryptogr
In this paper, we "rst determine the exact values of s(2, t), a function de"ned by X.-D. Hou [preprint], which depends on the structure of GR(4, t). This result gives the exact range of parameters of the partial di!erence sets in 9R constructed by Chen et al. (J. Combin. ΒΉheory Ser. A 76 (1996), 179
## Abstract A partial difference set (PDS) having parameters (__n__^2^, __r__(__n__β1), __n__+__r__^2^β3__r, r__^2^β__r__) is called a __Latin square type__ PDS, while a PDS having parameters (__n__^2^, __r__(__n__+1), β__n__+__r__^2^+3__r, r__^2^ +__r__) is called a __negative Latin square type__