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With the increasing popularity of digital products, there is a strong desire to protect the rights of owners against illegal redistribution. Traditional encryption schemes alone do not provide a comprehensive solution to digital rights management, since they do not prevent users who are authorized to use a digital product for their own use from transferring the cleartext content to unauthorized users...
The theory of algebraic-geometric codes with respect to the Hamming metric has been well developed. However, in many applications where non-binary signals are transmitted or stored the Lee metric is a more appropriate metric than the Hamming metric. In our previous work, we presented a polynomial-time Lee-metric decoding algorithm for algebraic-geometricable codes. Our algorithm generalizes the interpolation-based...
Algebraic-geometric codes are a class of linear codes derived from algebraic curves over finite fields. The well-known Reed-Solomon codes and BCH codes can be viewed as special instances of this class of codes. Algebraic-geometric codes provide flexibility in practical applications where linear codes are used to guarantee the performance of communications systems. Decoding algorithms of BCH codes,...
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