22 citations · 47 across the 11 of their papers we have counts for
5 papers · 1 filter
Lifted Reed-Solomon Codes and Lifted Multiplicity Codes
Lukas Holzbaur, Rina Polyanskaya, Nikita Polyanskii +2
Lifted Reed-Solomon and multiplicity codes are classes of codes, constructed from specific sets of -variate polynomials. These codes allow for the design of high-rate codes that…
Quadratic-Curve-Lifted Reed-Solomon Codes
Hedongliang Liu, Lukas Holzbaur, Nikita Polyanskii +2
Lifted codes are a class of evaluation codes attracting more attention due to good locality and intermediate availability. In this work we introduce and study quadratic-curve-lifte…
On the Capacity of Quantum Private Information Retrieval from MDS-Coded and Colluding Servers
Matteo Allaix, Seunghoan Song, Lukas Holzbaur +3
In quantum private information retrieval (QPIR), a user retrieves a classical file from multiple servers by downloading quantum systems without revealing the identity of the file.…
Correctable Erasure Patterns in Product Topologies
Lukas Holzbaur, Sven Puchinger, Eitan Yaakobi +1
Locality enables storage systems to recover failed nodes from small subsets of surviving nodes. The setting where nodes are partitioned into subsets, each allowing for local recove…
High-Rate Quantum Private Information Retrieval with Weakly Self-Dual Star Product Codes
Matteo Allaix, Lukas Holzbaur, Tefjol Pllaha +1
In the classical private information retrieval (PIR) setup, a user wants to retrieve a file from a database or a distributed storage system (DSS) without revealing the file identit…