Two congruence classes for symmetric binary matrices over F2

  • Authors:
  • Yong-Hyuk Kim;Keomkyo Seo

  • Affiliations:
  • Department of Computer Science and Engineering, Kwangwoon University, Seoul, Korea;School of Mathematics, Korea Institute for Advanced Study, Seoul, Korea

  • Venue:
  • WSEAS Transactions on Mathematics
  • Year:
  • 2008

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Abstract

We provide two congruence classes for symmetric binary matrices over a finite field of characteristic 2. We use standard methods of matrix analysis to prove directly that there exist two congruence classes. Our proof gives explicit algorithms to compute the congruence classes.