Counting Steiner triple systems with classical parameters and prescribed rank-Reference-Cited by-同舟云学术

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Counting Steiner triple systems with classical parameters and prescribed rank

Published:2019-02 Issue: Volume:162 Page:10-33
ISSN:0097-3165
Container-title:Journal of Combinatorial Theory, Series A
language:en
Short-container-title:Journal of Combinatorial Theory, Series A

Author:

Jungnickel Dieter^ORCID,Tonchev Vladimir D.

Funder

Alexander von Humboldt Foundation

NSA

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference17 articles.

1. On 2-ranks of Steiner triple systems;Assmus;Electron. J. Combin.,1995

2. Designs and Their Codes;Assmus,1992

3. Almost all Steiner triple systems are asymmetric;Babai;Ann. Discrete Math.,1980

4. Design Theory;Beth,1999

5. Handbook of Combinatorial Designs,2007

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1. The projective general linear group $${\mathrm {PGL}}(2,2^m)$$ and linear codes of length $$2^m+1$$;Designs, Codes and Cryptography;2021-05-21

2. On Infinite Families of Narrow-Sense Antiprimitive BCH Codes Admitting 3-Transitive Automorphism Groups and Their Consequences;IEEE Transactions on Information Theory;2021

3. The number of the non-full-rank Steiner quadruple systems S(v,4,3);Discrete Mathematics;2020-06

4. On the number of resolvable Steiner triple systems of small 3-rank;Designs, Codes and Cryptography;2020-02-04

5. Linear codes of 2-designs associated with subcodes of the ternary generalized Reed–Muller codes;Designs, Codes and Cryptography;2019-12-11

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