Equivalent Goppa Codes and Trapdoors to McEliece’s Public Key Cryptosystem

  • J. K. Gibson
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 547)


We show that contrary to a published statement, any instance of McEliece’s Public Key Cryptosystem always has many trapdoors. Our proof leads to a natural equivalence relation on monic polynomials over a finite field F such that any two irreducible Goppa codes over F whose Goppa polynomials are equivalent under this relation are equivalent as codes.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • J. K. Gibson
    • 1
  1. 1.Department of Computer ScienceBirkbeck CollegeLondonEngland

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