258 citations · 705 across the 68 of their papers we have counts for
81 papers
Euclidean lattices: theory and applications
Lenny Fukshansky, Camilla Hollanti
In this editorial survey we introduce the special issue of the journal Communications in Mathematics on the topic in the title of the article. Our main goal is to briefly outline s…
-Sum Box: An Abstraction for Linear Computation over Many-to-one Quantum Networks
Matteo Allaix, Yuxiang Lu, Yuhang Yao +3
Linear computations over quantum many-to-one communication networks offer opportunities for communication cost improvements through schemes that exploit quantum entanglement among…
Algebraic Geometry Codes for Secure Distributed Matrix Multiplication
Okko Makkonen, Elif Saçıkara, Camilla Hollanti
In this paper, we propose a novel construction for secure distributed matrix multiplication (SDMM) based on algebraic geometry (AG) codes, which we call the PoleGap SDMM scheme. Th…
Secure Distributed Gram Matrix Multiplication
Okko Makkonen, Camilla Hollanti
The Gram matrix of a matrix is defined as (or ). Computing the Gram matrix is an important operation in many applications, such as linear regression with the lea…
General Framework for Linear Secure Distributed Matrix Multiplication with Byzantine Servers
Okko Makkonen, Camilla Hollanti
In this paper, a general framework for linear secure distributed matrix multiplication (SDMM) is introduced. The model allows for a neat treatment of straggling and Byzantine serve…
Private Information Retrieval from Colluding and Byzantine Servers with Binary Reed-Muller Codes
Perttu Saarela, Matteo Allaix, Ragnar Freij-Hollanti +1
In this work, a flexible and robust private information retrieval (PIR) scheme based on binary non-maximum distance separable (non-MDS) codes is considered. This combines previous…