An improved product construction of rotational Steiner quadruple systems | Zendy

Ji L. | Zendy; Zhu L. | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Premium

An improved product construction of rotational Steiner quadruple systems

Author(s) -

Ji L.,

Zhu L.

Publication year - 2002

Publication title -

journal of combinatorial designs

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.618

H-Index - 34

eISSN - 1520-6610

pISSN - 1063-8539

DOI - 10.1002/jcd.10025

Subject(s) - mathematics , combinatorics , product (mathematics) , code (set theory) , order (exchange) , steiner system , discrete mathematics , geometry , computer science , set (abstract data type) , finance , economics , programming language

An improved product construction is presented for rotational Steiner quadruple systems. Direct constructions are also provided for small orders. It is known that the existence of a rotational Steiner quadruple system of order υ+1 implies the existence of an optimal optical orthogonal code of length υ with weight four and index two. New infinite families of orders are also obtained for both rotational Steiner quadruple systems and optimal optical orthogonal codes. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 433–443, 2002; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/jcd.10025

This content is not available in your region!

Continue researching here.

Having issues? You can contact us here

Accelerating Research