On the Complexity of Cubic Forms

نویسندگان

  • Manindra Agrawal
  • Nitin Saxena
چکیده

We study the equivalence problem of cubic forms. We lower bound its complexity by that of F-algebra isomorphism problem and hence by the graph isomorphism problem (for all fields F). For finite fields we upper bound the complexity of cubic forms by NP∩coAM. We also study the cubic forms obtained from F-algebras and show that they are regular and indecomposable.

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تاریخ انتشار 2007