Camilla Hollanti

Cyclic flats of binary matroids

2021 · Advances in Applied Mathematics

In this paper, first steps are taken towards characterizing rank-decorated lattices of cyclic flats Z(M) that belong to matroids M that can be represented over a prescribed finite field Fq. Two natural maps from Z(M) …

Private and Secure Distributed Matrix Multiplication Schemes for Replicated or MDS-Coded Servers

2022 · IEEE Transactions on Information Forensics and Security

In this paper, we study the problem ofprivate and secure distributed matrix multiplication (PSDMM), where a user having a private matrix$A$and$N$non-colluding servers sharing a library of$L$($L>1$) matrices$B^{(0)}, B^{(1)},\ldots,B^{(L-1)}$, for which the user wishes to compute$AB^{(\theta)}$for …

Private Information Retrieval from Coded Storage Systems with Colluding,\n Byzantine, and Unresponsive Servers

2018 · arXiv (Cornell University)

The problem of Private Information Retrieval (PIR) from coded storage systems\nwith colluding, byzantine, and unresponsive servers is considered. An explicit\nscheme using an $[n,k]$ Reed-Solomon storage code is designed, protecting\nagainst $t$-collusion and handling up to $b$ …