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Uniform Minors in Maximally Recoverable Codes
Matthias Grezet, Thomas Westerbäck, Ragnar Freij-Hollanti +1
In this letter, locally recoverable codes with maximal recoverability are studied with a focus on identifying the MDS codes resulting from puncturing and shortening. By using matro…
Alphabet-Dependent Bounds for Linear Locally Repairable Codes Based on Residual Codes
Matthias Grezet, Ragnar Freij-Hollanti, Thomas Westerbäck +1
Locally repairable codes (LRCs) have gained significant interest for the design of large distributed storage systems as they allow a small number of erased nodes to be recovered by…
Parity check systems of nonlinear codes over finite commutative Frobenius rings
Thomas Westerbäck
The concept of parity check matrices of linear binary codes has been extended by Heden [9] to parity check systems of nonlinear binary codes. In the present paper we extend this co…