✦ LIBER ✦

The number of inequivalent irreducible Goppa codes

✍ Scribed by Patrick Fitzpatrick; John A. Ryan

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 412 KB
Volume: 6
Category: Article
ISSN: 1571-0653
DOI: 10.1016/s1571-0653(04)00191-x

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Cyclicity of Goppa Codes, Parity-

On the Cyclicity of Goppa Codes, Parity-Check Subcodes of Goppa Codes, and Extended Goppa Codes

✍ Thierry P. Berger 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 231 KB

Classical Goppa codes are a special case of Alternant codes. First we prove that the parity-check subcodes of Goppa codes and the extended Goppa codes are both Alternant codes. Before this paper, all known cyclic Goppa codes were some particular BCH codes. Many families of Goppa codes with a cyclic

The Asymptotic Number of Inequivalent Bi

The Asymptotic Number of Inequivalent Binary Codes and Nonisomorphic Binary Matroids

✍ Marcel Wild 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 139 KB

The asymptotic value as nPR of the number b(n) of inequivalent binary n-codes is determined. It was long known that b(n) also gives the number of nonisomorphic binary n-matroids.

Further results about the cyclicity of g

Further results about the cyclicity of generalized Goppa codes

✍ K.K. Tzeng; G.L. Feng 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 521 KB

New Bounds on the Distance Distribution

New Bounds on the Distance Distribution of Extended Goppa Codes

✍ Simon Litsyn; Sarit Zur 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 169 KB

We derive new estimates for the error term in the binomial approximation to the distance distribution of extended Goppa codes. This is an improvement on the earlier bounds by Vladuts and Skorobogatov, and Levy and Litsyn.

On the weight hierarchy of irreducible c

On the weight hierarchy of irreducible cyclic codes

✍ Marcel van der Vlugt 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 376 KB

The number of indecomposable codes

✍ Kenneth P Bogart 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 385 KB