On the Existence of Large Sets of t-designs of Prime Sizes

B. TAYFEH-REZAIE

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On the Existence of Large Sets of t-designs of Prime Sizes

机译：关于素数t设计的大集合的存在

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摘要

In this paper, we employ the known recursive construction methods to obtain some new existence results for large sets of t-designs of prime sizes. We also present a new recursive construction which leads to more comprehensive theorems on large sets of sizes two and three. As an application, we show that for infinitely many values of block size, the trivial necessary conditions for the existence of large sets of 2-designs of size three are sufficient.

机译：在本文中，我们采用已知的递归构造方法来获得大量素数t设计的新存在结果。我们还提出了一种新的递归构造，该构造导致对大型的大小为2和3的集合进行更全面的定理。作为一个应用程序，我们表明对于无穷多个块大小的值，对于存在大小为3的2个设计的大集合的琐碎必要条件就足够了。

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来源
《Designs, Codes and Crytography》 |2005年第1期|p.143-149|共7页
作者
B. TAYFEH-REZAIE;
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作者单位

Institute for studies in theoretical Physics and Mathematics (IPM), P.O. Box 19395-5746, Tehran, Iran;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
t-designs; large sets of t-designs; (N, t)-partitionable sets; recursive constructions;

机译：t-设计;t-设计的大集合;（N;t）可划分的集合;递归构造;

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1. Some Results on the Existence of Large Sets of t-Designs [J] . G. B. Khosrovshahi Journal of combinatorial designs . 2003,第2期

机译：关于大t设计集存在的一些结果
2. Crystal Structure of 2-S-(1′-Deoxy-2′,3′:4′,5′-di-O-isopropylidene-font size=-1D/font,font size=-1L/font-xylit-1′-ylthio)-3-methylquinoxaline [J] . D. MONDIEIG, Ph. NéGRIER, J. M. LéGER, X-ray Structure Analysis Online . 2010,第4期

机译：2-S-（1'-Deoxy-2'，3'：4'，5'-di-O-isopropylidene- size = -1> D ， size = -1的晶体结构> L -xylit-1'-ylthio）-3-甲基喹喔啉
3. On Minimal Defining Sets of Full Designs and Self-Complementary Designs, and a New Algorithm for Finding Defining Sets of t-Designs [J] . Emre Kolotoğlu, Emine Şule Yazıcı Graphs and Combinatorics . 2010,第2期

机译：完整设计和自补设计的最小定义集，以及t设计定义集的新算法
4. Computational Existence Proofs for Spherical t-Designs [C] . Xiaojun Chen, Andreas Frommer, Bruno Lang The 8th international conference on optimization: Techniques and Applications . 2010

机译：球形t设计的计算存在证明
5. The existence of small prime gaps in subsets of the integers. [D] . Benatar, Jacques. 2015

机译：整数子集中存在小的素数间隙。
6. Primed to be inflexible: the influence of set size on cognitive flexibility during childhood [O] . Lily FitzGibbon, Lucy Cragg, Daniel J. Carroll 2014

机译：最初是不灵活的：设定大小对儿童时期认知灵活性的影响
7. On the existence of large sets of t-designs of prime sizes [O] . B. Tayfeh-Rezaie 2010

机译：关于大型尺寸的t设计的存在

On the Existence of Large Sets of t-designs of Prime Sizes

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