𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Relative Difference Sets

✍ Scribed by C. Koukouvinos; A.L. Whiteman


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
199 KB
Volume
74
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

✦ Synopsis


In this paper we prove that a near difference set with parameters v=2(q+1), k=q, *= 1 2 (q&1) may be constructed whenever q is an odd prime power.

1996 Academic Press, Inc.

(i) For each a  H the congruence d i &d j #a (mod v) has exactly * solution pairs (d i , d j ), d i , d j # D.


📜 SIMILAR VOLUMES


Difference Sets Relative to Disjoint Sub
✍ Yutaka Hiramine 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 133 KB

In their paper (1967, Math. Z. 99, 53 75) P. Dembowski and F. C. Piper gave a classification of quasiregular collineation groups of finite projective planes. In the case (d) or (g) in their list the corresponding group, say G, has a subset D satisfying that (V) there exist mutually disjoint subgroup

An extension of building sets and relati
✍ Xiang-dong Hou; Surinder K. Sehgal 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB 👁 2 views

Building sets are a successful tool for constructing semi-regular divisible difference sets and, in particular, semi-regular relative difference sets. In this paper, we present an extension theorem for building sets under simple conditions. Some of the semi-regular relative difference sets obtained

Cyclic Relative Difference Sets with Cla
✍ K.T. Arasu; J.F. Dillon; Ka Hin Leung; Siu Lun Ma 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 121 KB

We investigate the existence of cyclic relative difference sets with parameters ((q d &1)Â(q&1), n, q d&1 , q d&2 (q&1)Ân), q any prime power. One can think of these as ``liftings'' or ``extensions'' of the complements of Singer difference sets. When q is odd or d is even, we find that relative diff

Constructions of Semi-regular Relative D
✍ Ka Hin Leung; San Ling; Siu Lun Ma 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 358 KB

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

Planar Functions, Relative Difference Se
✍ S.L. Ma 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 192 KB

Planar functions from ‫ޚ‬ to ‫ޚ‬ are studied in this paper. By investigating the n n character values of the corresponding relative difference sets, we obtain some nonexistence results of planar functions. In particular, we show that there is no planar functions from Z to ‫ޚ‬ , where p and q are any