𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Existence of SOLS with holes of type 2nu1

✍ Scribed by Xu Yunqing; Ge Gennian; Zhu Lie


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
582 KB
Volume
51
Category
Article
ISSN
0378-3758

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Existence of frame sols of type 2nu1
✍ Xu Yunqing; Zhu Lie 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 981 KB

An SOLS (self-orthogonal latin square) of order n with ni missing sub-SOLS (holes) of order hi (1 5 i 5 k), which are disjoint and spanning (i.e., xlcisknihi = n), is called a frame SOLS and denoted by FSOLS(h;'h~2.. h?). In this article, it is shown that for u 2 2, an FSOLS(2"u') exists if and only

Holey Schröder designs of type 2nu1
✍ F. E. Bennett; Ruizhong Wei; Hantao Zhang 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 283 KB

## A holey Schröder design of type h n ] of order m with ni missing subquasigroups (holes) of order hi, 1 ≤ i ≤ k, which are disjoint and spanning, that is, 1 ≤i≤k nihi = m. In this article, we first consider the existence of HSD(2 n u 1 ) for 1 ≤ u ≤ 4 and show that these HSDs exist if and only i

The existence of Schröder designs with e
✍ F.E. Bennett; Ruizhong Wei 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 605 KB

A holey Schr6der design of type h"~'h"22 ... h~ k (HSD(h]'h~ .... h~k)) is equivalent to a frame idempotent SchrBder quasigroup (FISQ(h]lh~ .... h~?)) of order n with n~ missing subquasigroups (holes) of order hi, (1 ~< i ~< k), which are disjoint and spanning, that is, ~1 <~ i <~ k nlhi = n. In thi