The(16,16,2)designs-Reference-Cited by-同舟云学术

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The(16,16,2)designs

Published:1979 Issue:2 Volume:2 Page:261-281
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Assmus, Jr E. F.¹,Salwach Chester J.²

Affiliation:

1. Department of Mathematics, Lehigh University, Bethlehem 18015, Pennsylvania, USA

2. Department of Mathematics, Lafayette College, Easton 18042, Pennsylvania, USA

Abstract

Elementary techniques of algebraic coding theory are here used to discuss the three biplanes withk=6. These three designs are intimately related to the(16,11)extended binary Hamming code and to one another; we systematically investigate these relationships.We also exhibit each of the three designs as difference sets.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/1979/162975.pdf

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On flag‐transitive imprimitive 2‐designs;Journal of Combinatorial Designs;2021-05-24

2. Symmetries of biplanes;Designs, Codes and Cryptography;2020-08-07

3. A classification of flag-transitive point-imprimitive 2-designs with block size 6;Journal of Combinatorial Designs;2017-10-12

4. Some REALLY beautiful Hadamard matrices;Cryptography and Communications;2010-06-17

5. More DD difference sets;Designs, Codes and Cryptography;2008-03-19

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