Asymptotically good families of subfield subcodes of geometric Goppa codes

✍ Scribed by Conny Voss; Henning Stichtenoth

• Publisher: Springer
• Year: 1990
• Tongue: English
• Weight: 198 KB
• Volume: 33
• Category: Article
• ISSN: 0046-5755
• DOI: 10.1007/bf00147606

✦ Synopsis

We show that subfield subcodes of certain geometric Goppa codes meet the Gilbert-Varshamov bound. A very special case of our theorem is the well known fact that classical Goppa codes meet the Gilbert-Varshamov bound.