Multi-trial Guruswami-Sudan decoding for generalised Reed-Solomon codes
نویسندگان
چکیده
An iterated refinement procedure for the Guruswami–Sudan list decoding algorithm for Generalised Reed–Solomon codes based on Alekhnovich’s module minimisation is proposed. The method is parametrisable and allows variants of the usual list decoding approach. In particular, finding the list of closest codewords within an intermediate radius can be performed with improved average-case complexity while retaining the worst-case complexity.
منابع مشابه
Interpolation in list decoding of Reed-Solomon codes
The problem of efficient implementation of two-dimensional interpolation in the Guruswami-Sudan list decoding algorithm for Reed-Solomon codes is considered. It is shown that it can be implemented by computing the product of the ideals of interpolation polynomials constructed for subsets of interpolation points. A method for fast multiplication of zero-dimensional co-prime ideals product is pro...
متن کاملOn the Interpolation Step in the Guruswami-Sudan List Decoding Algorithm for Reed-Solomon Codes
Divide-and-conquer method for interpolation in Guruswami-Sudan (GS) list decoding algorithm is considered. It is shown that the Groebner basis (GB) of the ideal of bivariate interpolation polynomials (IP) can be obtained as a product of trivariate polynomials corresponding to disjoint subsets of interpolation points. The impact of monomial ordering on the interpolation complexity is studied.
متن کاملThe Guruswami–Sudan Decoding Algorithm for Reed–Solomon Codes
This article is a tutorial discussion of the Guruswami–Sudan (GS) Reed–Solomon decoding algorithm, including self-contained treatments of the Kötter and Roth– Ruckenstein (RR) improvements. It also contains a number of new results, including a rigorous discussion of the average size of the decoder’s list, an improvement in the RR algorithm’s stopping rule, a simplified treatment of the combinat...
متن کاملIterative Algebraic Soft Decision Decoding of Reed-Solomon Codes
In this paper, we propose an iterative soft decision decoding scheme for Reed Solomon codes with near maximum likelihood performance. The advantage of this decoding algorithm over previously proposed algorithms is its fast convergence in terms of the number of iterations required. This is achieved by combining two powerful soft decision decoding techniques which were previously regarded in the ...
متن کاملDecoding Reed-Solomon Codes Using the Guruswami-Sudan Algorithm
List decoding algorithms improve the error-correction performance of a code by generating a list of possible transmitted messages instead of one unique message as with conventional algebraic decoders, making it possible to correct errors beyond half the hamming distance boundary d/2. In this paper, we present new simulation results for Reed-Solomon (RS) codes using the Guruswami-Sudan (GS) list...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Des. Codes Cryptography
دوره 73 شماره
صفحات -
تاریخ انتشار 2014