Hermitian codes as generalized Reed-Solomon codes

✍ Scribed by Tomik Yaghoobian; Ian F. Blake

• Book ID: 104631215
• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 472 KB
• Volume: 2
• Category: Article
• ISSN: 0925-1022
• DOI: 10.1007/bf00124208

✦ Synopsis

Hermitian codes obtained from Hermitian curves are shown to be concatenated generalized Reed-Solomon codes. This interpretation of Hermitian codes is used to investigate their structure. An efficient encoding algorithm is given for Hermitian codes. A new general decoding algorithm is given and applied to Hermitian codes to give a decoding algorithm capable of decoding up to the full error correcting capability of the code.