Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
권호 표지

PROJECTIVE SYSTEMS SUPPORTED ON THE COMPLEMENT OF TWO LINEAR SUBSPACES

  • Masaaki Homma (Department of mathematics, Kanagawa University) ;
  • Kim, Seon-Jeong (Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University) ;
  • Yoo, Mi-Ja (Department of mathematics and Research Institute of Natural Science, Gyeongsang national University)
  • Published : 2000.08.01
Download PDF
⟨ Previous Next ⟩

Abstract

We discuss the class of projective systems whose supports are the complement of the union of two linear subspaces in general position. We express the weight enumerators of the codes generated by these projective systems using two simplex codes corresponding to given linear subspaces. We also prove these codes are uniquely determined upto equivalence by their weight enumerators.

Keywords

References

  1. Projective Geometry over Finite Fields J.W.P.Hischfeld
  2. A family of linear codes between a first order Reed-Muller code and a simplex code M.Homma;S.J.Kim;S.H.Park;S.Y.Yoon
  3. The theory of Error-Correcting Codes F.J.MacWilliams;N.J.A.Sloane
  4. Algebraic-Geometric Codes M.A.Tsfasman;S.G.Vladut