Applicable Algebra in Engineering, Communication and Computing

, Volume 17, Issue 5, pp 303–313

Projective Systems Whose Support is the Union of Two Linear Subspaces with Nonempty Intersection

Article

DOI: 10.1007/s00200-006-0011-z

Cite this article as:
Cheon, E.J. & Kim, S.J. AAECC (2006) 17: 303. doi:10.1007/s00200-006-0011-z
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Abstract

We consider the code corresponding to a projective system whose support is the union of two linear subspaces with nonempty intersection, and prove that the code is uniquely determined up to equivalence by its weight enumerator. Also we obtain the same conclusion for the complement of the union of two linear subspaces.

Keywords

Linear codeWeight enumeratorProjective systemProjective space

Mathematics Subject Classification (2000)

94B6594B0551E2005B25

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of Mathematics and RINSGyeongsang National UniversityJinjuSouth Korea