# FAST UNIQUE DECODING OF PLANE AG CODES

• Accepted : 2013.11.25
• Published : 2013.12.25
• 54 1

#### Abstract

An interpolation-based unique decoding algorithm of Algebraic Geometry codes was recently introduced. The algorithm iteratively computes the sent message through a majority voting procedure using the Gr$\ddot{o}$bner bases of interpolation modules. We now combine the main idea of the Guruswami-Sudan list decoding with the algorithm, and thus obtain a hybrid unique decoding algorithm of plane AG codes, significantly improving the decoding speed.

#### Keywords

algebraic geometry codes;interpolation decoding;Gr$\ddot{o}$bner bases

#### References

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#### Acknowledgement

Supported by : National Research Foundation of Korea (NRF)