Paper 2023/1901 Original: eprint.iacr.org/2023/1901 ↗
Middle-Products of Skew Polynomials and Learning with Errors
Abstract
We extend the middle product to skew polynomials, which we use to define a skew middle-product Learning with Errors (LWE) variant. We also define a skew polynomial LWE problem, which we connect to Cyclic LWE (CLWE), a variant of LWE in cyclic division algebras. We then reduce a family of skew polynomial LWE problems to skew middle-product LWE, for a family which includes the structures found in CLWE. Finally, we give an encryption scheme and demonstrate its IND-CPA security, assuming the hardness of skew middle-product LWE.
Metadata
- Available format(s)
PDF- Category
- Public-key cryptography
- Publication info
- Preprint.
- History
- 2023-12-11: last updated
- 2023-12-11: published
- Short URL
- https://ia.cr/2023/1901
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2023/1901,
author = {Cong Ling and Andrew Mendelsohn},
title = {Middle-Products of Skew Polynomials and Learning with Errors},
howpublished = {Cryptology {ePrint} Archive, Paper 2023/1901},
year = {2023},
url = {https://eprint.iacr.org/2023/1901}
}