Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Minimal list decoding for a code C refers to list decoding with radius L(y), where L(y) is the minimum of the distances beten the received word y and any codeword in C.   present a minimal list decoding algorithm for Reed-Solomon (RS) codes. Our approach involves a parametrization of the interpolating polynomials of a minimal Grobner basis G.  then demonstrate that our parametric approach can be solved by a computationally efficient rational curve fitting solution from a recent paper by Wu. Besides,  present an algorithm to compute the minimum multiplicity as ll as the associated optimal values of the parameters. Use of these optimal parameters in the rational interpolation step results in computational as ll as memory efficiency.
['Mortuza Ali', 'Margreta Kuijper']
I am writing a research paper on a idea Minimal list decoding of Reed-Solomon codes using a parameterization of Gröbner bases
[{"from": "human", "value": "I am writing a research paper on a idea Minimal list decoding of Reed-Solomon codes using a parameterization of Gr\u00f6bner bases"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Minimal list decoding for a code C refers to list decoding with radius L(y), where L(y) is the minimum of the distances beten the received word y and any codeword in C.   present a minimal list decoding algorithm for Reed-Solomon (RS) codes. Our approach involves a parametrization of the interpolating polynomials of a minimal Grobner basis G.  then demonstrate that our parametric approach can be solved by a computationally efficient rational curve fitting solution from a recent paper by Wu. Besides,  present an algorithm to compute the minimum multiplicity as ll as the associated optimal values of the parameters. Use of these optimal parameters in the rational interpolation step results in computational as ll as memory efficiency."}]