✦ LIBER ✦

Extending symmetric designs

✍ Scribed by P.J Cameron

Publisher: Elsevier Science
Year: 1973
Tongue: English
Weight: 256 KB
Volume: 14
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(73)90023-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Extending Large Sets oft-Designs

✍ S. Ajoodani-Namini 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 278 KB

A large set of disjoint S(\*; t, k, v) designs, denoted by LS(\*; t, k, v), is a partition of k-subsets of a v-set into S(\*; t, k, v) designs. In this paper, we develop some recursive methods to construct large sets of t-designs. As an application, we construct infinite families of large sets of t-

Some new symmetric designs

✍ Mario -O. Pavčević; Edward Spence 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 88 KB

For q, an odd prime power, we construct symmetric 2q 2 2q 1Y q 2 Y 1 2 qq À 1 designs having an automorphism group of order q that ®xes 2q 1 points. The construction indicates that for each q the number of such designs that are pairwise non-isomorphic is very large.

Factorizations of symmetric designs

✍ D de Caen; D.A Gregory 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 753 KB

A coding theoretic approach to extending

A coding theoretic approach to extending designs

✍ George T. Kennedy; Vera Pless 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 1003 KB

We introduce the study of designs in a coset of a binary code which can be held by vectors of a fixed weight. If C is a binary [2n, n, d] code with n odd and the words of weights n -1 and n + 1 hold complementary t-designs, then we show that the vectors of weight n in a coset of weight 1 also hold a

A family of symmetric designs

✍ J.D. Fanning 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 228 KB

An embedding theorem for certain quasi-residual designs is proved and is used to construct a series of symmetric designs with v = (1 + 16 + ... + 16")9 + 16 "+~, k =(1 + 16 + ... + 16m)9, and 2 = (1 + 16 + ... + 16m-~)9 + 16".3, for a non-negative integer m.

Some new symmetric block designs

✍ Edward Spence 📂 Article 📅 1971 🏛 Elsevier Science 🌐 English ⚖ 164 KB