On extensions of some block designs
- Авторлар: Makhnev A.1
-
Мекемелер:
- Krasovskii Institute of Mathematics and Mechanics, Ural Branch
- Шығарылым: Том 94, № 2 (2016)
- Беттер: 563-565
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224346
- DOI: https://doi.org/10.1134/S1064562416050227
- ID: 224346
Дәйексөз келтіру
Аннотация
There are some results concerning t-designs in which the number of points in the intersection of two blocks takes less than t values. For example, if t = 2, then the design is symmetric (in such a design, v = b or, equivalently, k = r). In 1974, B. Gross described t-(v, k, l) designs that, for some integer s, 0 < s < t, do not contain two blocks intersecting at exactly s points. Below, it is proved that potentially infinite series of designs from the claim of Gross’ theorem are finite. Gross’ theorem is substantially sharpened.
Авторлар туралы
A. Makhnev
Krasovskii Institute of Mathematics and Mechanics, Ural Branch
Хат алмасуға жауапты Автор.
Email: makhnev@imm.uran.ru
Ресей, Yekaterinburg, 620219