Focus on: Channel Coding and Information Theory

1993 ◽  
Vol 4 (2) ◽  
pp. 123-124
Keyword(s):  
Information Theory ◽  
Channel Coding ◽  
Coding And Information Theory

scholarly journals On the existence of block-transitive combinatorial designs

2010 ◽  
Vol Vol. 12 no. 1 (Combinatorics) ◽  
Author(s):  
Michael Huber
Keyword(s):  
Information Theory ◽  
Group Theory ◽  
Finite Simple Group ◽  
Group Classification ◽  
Permutation Groups ◽  
Combinatorial Designs ◽  
Coding And Information Theory ◽  
International Audience ◽  
Open Question

Combinatorics International audience Block-transitive Steiner t-designs form a central part of the study of highly symmetric combinatorial configurations at the interface of several disciplines, including group theory, geometry, combinatorics, coding and information theory, and cryptography. The main result of the paper settles an important open question: There exist no non-trivial examples with t = 7 (or larger). The proof is based on the classification of the finite 3-homogeneous permutation groups, itself relying on the finite simple group classification.

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