𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Constructions of Nested Partial Difference Sets with Galois Rings

✍ 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.


πŸ“œ SIMILAR VOLUMES


Constructions of Partial Difference Sets
✍ Yu Qing Chen; D.K. Ray-Chaudhuri; Qing Xiang πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 745 KB

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

Constructions of Low Rank Relative Diffe
✍ Qing Xiang; James A. Davis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 167 KB

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

Negative Latin square type partial diffe
✍ John Polhill πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 176 KB

## Abstract A partial difference set (PDS) having parameters (__n__^2^, __r__(__n__βˆ’1), __n__+__r__^2^βˆ’3__r, r__^2^βˆ’__r__) is called a __Latin square type__ PDS, while a PDS having parameters (__n__^2^, __r__(__n__+1), βˆ’__n__+__r__^2^+3__r, r__^2^ +__r__) is called a __negative Latin square type__