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Published March 2001 | Published
Journal Article Open

Permutations preserving divisibility

Abstract

We give a proof of a theorem on the common divisibility of polynomials and permuted polynomials (over GF(2)) by a polynomial g(x).

Additional Information

© 2001 IEEE. Reprinted with permission. Manuscript received July 31, 2000; revised September 1, 2000. McEliece's contribution to this correspondence was performed at the Sony Corporation in Tokyo, Japan, while he was a holder of a Sony Sabbatical Chair. Thanks are due to the referees for their useful comments, and the suggestion to include Corollary 6 in the correspondence.

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August 21, 2023
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