✦ LIBER ✦

Simple 3-designs of PSL(2, 2n) with block size 7

✍ Scribed by Weixia Li; Hao Shen

Publisher: John Wiley and Sons
Year: 2007
Tongue: English
Weight: 156 KB
Volume: 16
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.20141

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

In this paper, we determine the number of the orbits of 7‐subsets of $X= {\rm GF}(2^n)\cup{\infty}$ with a fixed orbit length under the action of PSL(2, 2^n^). As a consequence, we determine the distribution of λ for which there exists a simple 3‐(2^n^ + 1, 7, λ) design with PSL(2, 2^n^) as an automorphism group. © 2007 Wiley Periodicals, Inc. J Combin Designs 16: 1–17, 2008

📜 SIMILAR VOLUMES

3-Designs of PSL(2, 2n) With block sizes

3-Designs of PSL(2, 2n) With block sizes 4 and 5

✍ M. S. Keranen; D. L. Kreher 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB 👁 1 views

## Abstract We determine the distribution of 3‐designs among the orbits of 4‐ and 5‐element subsets under the action of PSL(2,2^__n__^) on the projective line. Thus we give complete information on all Kramer–Mesner matrices for the action of PSL(2,2^__n__^) on 3‐sets versus 4‐ and 5‐sets. As a cons

Splitting balanced incomplete block desi

Splitting balanced incomplete block designs with block size 3 × 2

✍ Beiliang Du 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 149 KB

## Abstract Splitting balanced incomplete block designs were first formulated by Ogata, Kurosawa, Stinson, and Saido recently in the investigation of authentication codes. This article investigates the existence of splitting balanced incomplete block designs, i.e., (__v__, 3__k__, λ)‐splitting BIBD

Super-simple resolvable balanced incompl

Super-simple resolvable balanced incomplete block designs with block size 4 and index 2

✍ Xiande Zhang; Gennian Ge 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB

## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with block size __k__ = 4 and index λ = 2, are that __v__ ≥ 16 and $v \equiv 4\; (\bmod\; {12})$. These conditions are shown to be sufficient. © 2006 Wiley Periodical

Super-simple resolvable balanced incompl

Super-simple resolvable balanced incomplete block designs with block size 4 and index 3

✍ Gennian Ge; C. W. H. Lam 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB

## Abstract The necessary conditions for the existence of a super‐simple resolvable balanced incomplete block design on __v__ points with __k__ = 4 and λ = 3, are that __v__ ≥ 8 and __v__ ≡ 0 mod 4. These conditions are shown to be sufficient except for __v__ = 12. © 2003 Wiley Periodicals, Inc.

A Simple Procedure for Constructing Expe

A Simple Procedure for Constructing Experiment Designs with Incomplete Blocks of Sizes 2 and 3

✍ Prof. Walter T. Federer 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 350 KB 👁 2 views

Large sets of disjoint group-divisible d

Large sets of disjoint group-divisible designs with block size three and type 2n41

✍ H. Cao; J. Lei; L. Zhu 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 141 KB 👁 1 views

## Abstract Large sets of disjoint group‐divisible designs with block size three and type 2^__n__^4^1^ have been studied by Schellenberg, Chen, Lindner and Stinson. These large sets have applications in cryptography in the construction of perfect threshold schemes. It is known that such large sets