IEEE Transactions on Information Theory · 1992 · 14 citations · 8 references
Natural SciencesComputer ScienceMathematicsAlgebraInformation TheoryTheory Of ComputationCoding TheoryError Control CodingError-correcting CodesBinary CodesBounds On CodesCode BoundsCodes Over Finite FieldsGoppa CodesLinear CodesTrace MapsTrace Theory
The dimension of subfield subcodes and in particular generalized Goppa codes is studied using the kernel of an associated trace map. Bounds on the dimension for a particular general class of binary Goppa codes are obtained. Deeper study of some special cases and other related polynomials yields still tighter bounds for any s>1.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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The algebraic decoding of Goppa codes
Nicholas J. Patterson · IEEE Transactions on Information Theory · 1975 · 228 citations
On the parameters of Goppa codes
Markus Wirtz · IEEE Transactions on Information Theory · 1988 · 24 citations