ON JUSTESENS ALGEBRAIC GEOMETRY CODES
关于Justesen代数几何码

An isomorphism preserving Hamming weight between two algebraic geometry (AG) codes is presented to obtain the main parameters of Justesen's algebraic geometry (JAG) codes. To deduce a simple approach to the decoding algorithm, a code word in a "small" JAG code is used to correspond to error-locator polynomial. By this means, a simple decoding procedure and the ability of error correcting are explored obviously. The low and up bounds of the dimension of AG codes are also obtained.