Determining deep hole trees of generalized Reed-Solomon codes and an application

ZHUANG JinCheng, LIN DongDai, Chang Lv · Scientia Sinica Mathematica · 2017

Deep holes play an important role in decoding generalized Reed-Solomon codes. In this paper, we consider determining deep hole trees of generalized Reed-Solomon codes and its applications. Firstly, we describe expected deep holes of generalized Reed-Solomon codes in an explicit way based on Newton interpolation. Then, we apply conclusions about expected deep holes to give a result on restricted sumset.

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