Paper 2026/2523
GKS FHE: Security Analysis
Abstract
All traditional encryption schemes share a fundamental operational vulnerability: encrypted data must be decrypted before it can be used. Fully homomorphic encryption eliminates this vulnerability by enabling computation directly on encrypted data, but existing FHE schemes impose substantial practical constraints that limit deployment. This paper presents a formal security analysis of the Gribov-Kahrobaei-Shpilrain (GKS) private-key FHE scheme. GKS requires no bootstrapping or de-linearization, produces bit-exact decryption, supports native encrypted search, and scales to unbounded depth.
Metadata
- Available format(s)
-
PDF
- Category
- Attacks and cryptanalysis
- Publication info
- Preprint.
- Keywords
- fully homomorphic encryptionprivate-key FHEAI trainingmachine learningprivate search
- Contact author(s)
-
jgraham @ zerofhe ai
Delaram Kahrobaei @ qc cuny edu
marzougui soundes @ gmail com
milos @ zerofhe ai
vshpilrain @ ccny cuny edu - History
- 2026-10-19: approved
- 2026-10-18: received
- See all versions
- Short URL
- https://ia.cr/2026/2523
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2026/2523,
author = {John Graham and Delaram Kahrobaei and Soundes Marzougui and Milos Pavlovic and Vladimir Shpilrain},
title = {{GKS} {FHE}: Security Analysis},
howpublished = {Cryptology {ePrint} Archive, Paper 2026/2523},
year = {2026},
url = {https://eprint.iacr.org/2026/2523}
}
