DocumentCode :
11627
Title :
Counting Extended Irreducible Binary Quartic Goppa Codes of Length 2^{n}+1
Author :
Ryan, John A.
Author_Institution :
Dept. of Math., Mzuzu Univ., Mzuzu, Malawi
Volume :
61
Issue :
3
fYear :
2015
fDate :
Mar-15
Firstpage :
1174
Lastpage :
1178
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;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2015.2389246
Filename :
7005532
Link To Document :
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