We investigate the decoding problem of Reed-Solomon (RS) Codes, also known as the Polynomial Reconstruction Problem (PR), from a cryptographic hardness perspective. Namely, we dea...
Abstract. The complexity of maximum likelihood decoding of the ReedSolomon codes [q -1, k]q is a well known open problem. The only known result [4] in this direction states that it...
The development of Reed-Solomon (RS) codes has allowed for improved data transmission over a variety of communication media. Although Reed-Solomon decoding provides a powerful def...
Lilian Atieno, Jonathan Allen, Dennis Goeckel, Rus...
Maximum-likelihood decoding is one of the central algorithmic problems in coding theory. It has been known for over 25 years that maximum-likelihood decoding of general linear cod...
Abstract – Reed-Solomon (RS) codes are defined in several different ways which are not exactly equivalent. Distinct algorithms for encoding and decoding of RS codes have been dev...