Counting Extended Irreducible Goppa Codes

2018/02/23 by Magamba, Kondwani, Ryan, John A.
#Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1803.00619

Abstract

We obtain an upper bound on the number of extended irreducible q-ary Goppa codes of degree r and length qⁿ+1, where q=p^t and n and r>2 are prime numbers.

Related

• Enumeration of irreducible and extended irreducible Goppa codes
• Enumeration of extended irreducible binary Goppa codes
• The number of extended irreducible binary Goppa codes
• Permutation equivalent maximal irreducible Goppa codes
• Extended Irreducible Binary Sextic Goppa codes