Beyond Controlled Noise: Achieving Symmetric FHE through Dynamic Position Shifting

Computer Science > Cryptography and Security [Submitted on 15 May 2026] Beyond Controlled Noise: Achieving Symmetric FHE through Dynamic Position Shifting Mostefa Kara Traditional Fully Homomorphic Encryption (FHE) schemes often suffer from prohibitive computational overhead and complex noise management. In this paper, we propose a novel symmetric FHE through a mechanism of plaintext fragmentation and dynamic interposition. Our approach is built upon a modular encryption foundation, c = mk + rp, which is naturally additive but typically limited by exponential noise growth during multiplication. To resolve this, we introduce an interposition framework where the plaintext is partitioned into multiple fragments across distinct logical positions. We introduce a dual-regulator system to govern the multiplication process; exponent regulators (t_i) redirect the product of fragments to a new target position, preventing the accumulation of secret key exponents, while coefficient regulators (d_i) normalize the resulting scalars. Security is established through a binding mechanism where exponents and coefficients are mutually dependent, shielding the secret key k from algebraic manipulation and substitution attacks. Comments: 7 pages, 1 figure Subjects: Cryptography and Security (cs.CR) ACM classes: E.3 Cite as: arXiv:2605.15774 [cs.CR]   (or arXiv:2605.15774v1 [cs.CR] for this version)   https://doi.org/10.48550/arXiv.2605.15774 Focus to learn more Submission history From: Mostefa Kara [view email] [v1] Fri, 15 May 2026 09:28:31 UTC (265 KB) Access Paper: HTML (experimental) view license Current browse context: cs.CR < prev   |   next > new | recent | 2026-05 Change to browse by: cs References & Citations NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)