It is known that there exists only one (Tran van Trung's) design for (66,26,10) up to now. In this article we consider designs for (66,26,10) with the Frobenius group F39 and we prove that there exist (up to isomorphism) exactly 18 such designs. 0 1995 John Wiley & Sons, h e . In 1982, Tran van Trun
Construction of new symmetric designs with parameters (70,24,8)
β Scribed by Anka Golemac
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 430 KB
- Volume
- 120
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
This article presents a construction of all symmetric designs with parameters (70,24.8) on which the group Es 3 F,, operates so that the automorphism of order 7 operates fixed-point-free.
A method based on enumeration of cosets in group is used for the construction.
π SIMILAR VOLUMES
symmetric designs with parameters (105, 40, 15) was shown.
## UCGOII Consider a fir iite module M with exactly u find k different elements x1, x2, . . . , xk out of following conditions. elements. Suppose it is possible to the u ele:men:s of 34 satisfying the (i) Among tht: k(k -I) differences 4 -x1, rf t, r; t = 1, 2,. . . , k, just ni of the non-zero el
According to Mathon and Rosa [The CRC handbook of combinatorial designs, CRC Press, 1996] there is only one known symmetric design with parameters (69, 17, 4). This known design is given in Beth, Jungnickel, and Lenz [Design theory, B. I. Mannheim, 1985]; the Frobenius group F39 of order 39 acts on