Unitals and codes

Authors

Anton Betten, The University of Western Australia
Dieter Betten, University of Kiel
Vladimir Tonchev, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

6-2003

Abstract

A program is outlined for the enumeration of unital 2-(28,4,1) designs that uses tactical decompositions defined by vectors of certain weight in the dual binary code of a design. A class of designs with a spread that covers a codeword of weight 12 is studied in detail. A total of 909 nonisomorphic designs are constructed that include the classical hermitian and Ree unitals, as well as many other of the 145 previously known 2-(28,4,1) designs.

Publisher's Statement

Copyright © 2002 Elsevier Science B.V. All rights reserved. Publisher’s version of record: https://doi.org/10.1016/S0012-365X(02)00600-3

Publication Title

Discrete Mathematics

Recommended Citation

Betten, A., Betten, D., & Tonchev, V. (2003). Unitals and codes. Discrete Mathematics, 267(1-3), 23-33. http://doi.org/10.1016/S0012-365X(02)00600-3
Retrieved from: https://digitalcommons.mtu.edu/math-fp/127