Higher Power Residue Codes |
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| Authors: | Robin Chapman |
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| Institution: | Department of Mathematics, University of Exeter, Exeter, EX4 4QE, United Kingdomf1 |
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| Abstract: | For certain primeslandp, and characters χ:F*p→F*l2, we construct codesWof lengthp+ 1 overFl2which are linear overFl, but not overFl2, and which are invariant under a monomial action of the group SL(2,p). We consider the cases of cubic and quartic characters in detail and use theWto construct linear codes overFlin these cases. |
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