Fast En/Decoding of Reed-Solomon Codes for Failure Recovery
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Computers"
DOI: 10.1109/tc.2021.3060701
Abstract: Reed-Solomon (RS) codes are used in many storage systems for failure recovery. In popular software implementations, RS codes are defined by using a parity check matrix that is either a Cauchy matrix padded with an… read more here.
Keywords: vandermonde matrix; mml; mml mml; reed solomon ... See more keywords
On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Cryptology"
DOI: 10.1515/jmc-2020-0009
Abstract: Abstract Recently, Blanco-Chacón proved the equivalence between the Ring Learning With Errors and Polynomial Learning With Errors problems for some families of cyclotomic number fields by giving some upper bounds for the condition number Cond(Vn)… read more here.
Keywords: cyclotomic polynomial; number; nth cyclotomic; condition number ... See more keywords
A Fast Novel Recursive Algorithm for Computing the Inverse of a Generalized Vandermonde Matrix
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DOI: 10.3390/axioms12010027
Abstract: The main research object of this paper is to present a systematic computational procedure for computing the inverse of a generalized Vandermonde matrix. Short and rigorous proofs for the formulas of the determinant and the… read more here.
Keywords: vandermonde matrix; inverse generalized; generalized vandermonde; computing inverse ... See more keywords