Title :
Counting Extended Irreducible Binary Quartic Goppa Codes of Length
Author_Institution :
Dept. of Math., Mzuzu Univ., Mzuzu, Malawi
Abstract :
We produce an upper bound on the number of extended irreducible binary quartic Goppa codes of length 2n+1, where n > 3 is a prime number.
Keywords :
Goppa codes; computational complexity; counting extended irreducible binary quartic Goppa codes; length 2n+1; prime number; Educational institutions; Mathematical model; Orbits; Polynomials; Upper bound; Classical Goppa codes; equivalent codes; extended codes; irreducible Goppa codes; rreducible Goppa codes;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2015.2389246