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 partial difference sets and relative difference sets using Galois rings
β Scribed by D. K. Ray-Chaudhuri, Qing Xiang
- Book ID
- 118771462
- Publisher
- Springer
- Year
- 1996
- Tongue
- English
- Weight
- 469 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0925-1022
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π SIMILAR VOLUMES
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
gave two new constructions for semi-regular relative di!erence sets (RDSs). They asked if the two constructions could be uni"ed. In this paper, we show that the two constructions are closely related. In fact, the second construction should be viewed as an extension of the "rst. Furthermore, we gener