4 papers
Secrecy and Accessibility in Distributed Storage
Lukas Holzbaur, Stanislav Kruglik, Alexey Frolov +1
A distributed storage system (DSS) needs to be efficiently accessible and repairable. Recently, considerable effort has been made towards the latter, while the former is usually no…
On One Generalization of LRC Codes with Availability
Stanislav Kruglik, Marina Dudina, Valeriya Potapova +1
We investigate one possible generalization of locally recoverable codes (LRC) with all-symbol locality and availability when recovering sets can intersect in a small number of coor…
A method for constructing parity-check matrices of non-binary quasi-cyclic LDPC codes
Stanislav Kruglik, Valeriya Potapova, Alexey Frolov
An algorithm for constructing parity-check matrices of non-binary quasi-cyclic low-density parity-check (NB QC-LDPC) codes is proposed. The algorithm finds short cycles in the base…
Bounds and Constructions of Codes with All-Symbol Locality and Availability
Stanislav Kruglik, Alexey Frolov
We investigate the distance properties of linear locally recoverable codes (LRC codes) with all-symbol locality and availability. New upper and lower bounds on the minimum distance…