Recent developments in permutation decoding
نویسنده
چکیده
Recent advances in technology have produced a requirement for new implementations of good error-correcting codes. Such applications of codes also require efficient encoding and decoding methods. The method of permutation decoding was first developed by Jessie MacWilliams in the early 60’s and can be used when a linear code has a sufficiently large automorphism group to ensure the existence of a set of automorphisms, called a PD-set, that has some specific properties. This paper will give a brief survey of permutation decoding and some recent results in the search for PD-sets.
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Permutation decoding for codes from designs, finite geometries and graphs
The method of permutation decoding was first developed by MacWilliams in the early 60’s and can be used when a linear code has a sufficiently large automorphism group to ensure the existence of a set of automorphisms, called a PD-set, that has some specifed properties. These talks will describe some recent developments in finding PD-sets for codes defined through the row-span over finite fields...
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