Details:
Title | Systematic Encoding via Groebner Bases for a Class of Algebraic Geometric Goppa Codes | Author(s) | Chris Heegard, John B. Little, Keith Saints | Type | Article in Journal | Abstract | Any linear code with a nontrivial automorphism has the structure of a module over a polynomial ring. The theory of Grobner bases for modules gives a compact description and implementation of a systematic encoder. We present examples of algebraic-geometric Goppa codes that can be encoded by these methods, including the one-point Hermitian codes |
URL |
dx.doi.org/10.1109/18.476247 |
Language | English | Journal | IEEE Transactions on Information Theory | Volume | 41 | Number | 6, Part 1 | Pages | 1752-1761 | Year | 1995 | Month | November | Translation |
No | Refereed |
No |
|