Left ideal LRPC codes and a ROLLO-type cryptosystem based on group algebras

Martino Borello; Paolo Santonastaso; Ferdinando Zullo

Left ideal LRPC codes and a ROLLO-type cryptosystem based on group algebras

Information Theory 2022-10-24 v1 Cryptography and Security math.IT Rings and Algebras

Authors: Martino Borello , Paolo Santonastaso , Ferdinando Zullo

Abstract

In this paper we introduce left ideal low-rank parity-check codes by using group algebras and we finally use them to extend ROLLO-I KEM.

Cite

@article{arxiv.2210.11774,
  title  = {Left ideal LRPC codes and a ROLLO-type cryptosystem based on group algebras},
  author = {Martino Borello and Paolo Santonastaso and Ferdinando Zullo},
  journal= {arXiv preprint arXiv:2210.11774},
  year   = {2022}
}