Article

Applicable Algebra in Engineering, Communication and Computing

, Volume 17, Issue 5, pp 303-313

First online:

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

  • E. J. CheonAffiliated withDepartment of Mathematics and RINS, Gyeongsang National University Email author 
  • , S. J. KimAffiliated withDepartment of Mathematics and RINS, Gyeongsang National University

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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 code Weight enumerator Projective system Projective space

Mathematics Subject Classification (2000)

94B65 94B05 51E20 05B25