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Towards superconducting cryptographic accelerators: a highperformance configurable NTT Butterfly Unit using RSFQ electronics

Phetla, S. H. 2025. Towards Superconducting Cryptographic Accelerators: A High Performance Configurable NTT Butterfly Unit Using RSFQ Electronics. Unpublished masters thesis. Stellenbosch: Stellenbosch University [online]. Available: https://scholar.sun.ac.za/items/5b4ce91a-e9a1-49ad-88b0-7f80e6fb09...

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Main Author: Phetla, Siphiwe Hosea
Other Authors: Fourie, Coenrad J.
Format: Thesis
Language:English
Published: Stellenbosch : Stellenbosch University 2025
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access_status_str Open Access
author Phetla, Siphiwe Hosea
author2 Fourie, Coenrad J.
author_browse Fourie, Coenrad J.
Phetla, Siphiwe Hosea
author_facet Fourie, Coenrad J.
Phetla, Siphiwe Hosea
author_sort Phetla, Siphiwe Hosea
collection Thesis
dc_rights_str_mv Stellenbosch University
description Phetla, S. H. 2025. Towards Superconducting Cryptographic Accelerators: A High Performance Configurable NTT Butterfly Unit Using RSFQ Electronics. Unpublished masters thesis. Stellenbosch: Stellenbosch University [online]. Available: https://scholar.sun.ac.za/items/5b4ce91a-e9a1-49ad-88b0-7f80e6fb095a
format Thesis
id oai:scholar.sun.ac.za:10019.1/132508
institution Stellenbosch University (South Africa)
language English
last_indexed 2026-06-10T12:43:23.129Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from SUNScholar — Stellenbosch University Repository
publishDate 2025
publishDateRange 2025
publishDateSort 2025
publisher Stellenbosch : Stellenbosch University
publisherStr Stellenbosch : Stellenbosch University
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source_str SUNScholar — Stellenbosch University Repository
spelling oai:scholar.sun.ac.za:10019.1/132508 Towards superconducting cryptographic accelerators: a highperformance configurable NTT Butterfly Unit using RSFQ electronics Phetla, Siphiwe Hosea Fourie, Coenrad J. Stellenbosch University. Faculty of Engineering. Dept. of Electrical and Electronic Engineering. Superconductors Number theory -- Data processing High performance computing Quantum theory Logic circuits -- Computer-aided design UCTD Phetla, S. H. 2025. Towards Superconducting Cryptographic Accelerators: A High Performance Configurable NTT Butterfly Unit Using RSFQ Electronics. Unpublished masters thesis. Stellenbosch: Stellenbosch University [online]. Available: https://scholar.sun.ac.za/items/5b4ce91a-e9a1-49ad-88b0-7f80e6fb095a Thesis (MEng)--Stellenbosch University, 2025. ENGLISH ABSTRACT: Polynomial multiplication is a significant computational bottleneck in many latticebased schemes, including Post-Quantum Cryptography (PQC) and Fully Homomorphic Encryption (FHE). The Number Theoretic Transform (NTT) is commonly used to accelerate polynomial multiplication in lattice-based cryptography (LBC). The NTT employs butterfly computations to convert polynomials into a domain that permits element-wise multiplication, thereby reducing polynomial multiplication from a quadratic to a linear time complexity O(n), with respect to the number of integer multiplications for n − 1 degree polynomials. While this represents a substantial improvement, performing the NTT has quasilinear time complexity O(n log2 n), which still poses performance challenges for some industrial applications, motivating additional optimizations or specialized hardware implementations. Rapid Single Flux Quantum Electronics (RSFQ) have the potential to supersede semiconductor electronics in high-performance computing. This paper aims to accelerate NTT by developing a 16-bit configurable butterfly unit using RSFQ technology, which performs 16-bit NTT butterfly computations. A modular RSFQ-synthesizable HDL library was created for this purpose, enabling the butterfly unit’s construction using ColdFlux’s qPalace software suite and other design tools. The target fabrication process is the MIT-LL SFQ5ee fabrication process, which supports 8 superconducting niobium layers and 7μm Nb/AlOx/Nb Josephson junctions. Additionally, a timing analysis tool was developed to identify the critical components of the system that limit the maximum operating frequency. The maximum clock frequency achieved in simulations was 5GHz, a speed improvement of 5 to 17 times over comparable semiconductor-based designs. AFRIKAANSE OPSOMMING: Geen opsomming beskikbaar. Masters 2025-06-10T09:40:01Z 2025-06-10T09:40:01Z 2025-03 Thesis https://scholar.sun.ac.za/handle/10019.1/132508 en Stellenbosch University xii, 123 pages : illustrations application/pdf Stellenbosch : Stellenbosch University
spellingShingle Superconductors
Number theory -- Data processing
High performance computing
Quantum theory
Logic circuits -- Computer-aided design
UCTD
Phetla, Siphiwe Hosea
Towards superconducting cryptographic accelerators: a highperformance configurable NTT Butterfly Unit using RSFQ electronics
title Towards superconducting cryptographic accelerators: a highperformance configurable NTT Butterfly Unit using RSFQ electronics
title_full Towards superconducting cryptographic accelerators: a highperformance configurable NTT Butterfly Unit using RSFQ electronics
title_fullStr Towards superconducting cryptographic accelerators: a highperformance configurable NTT Butterfly Unit using RSFQ electronics
title_full_unstemmed Towards superconducting cryptographic accelerators: a highperformance configurable NTT Butterfly Unit using RSFQ electronics
title_short Towards superconducting cryptographic accelerators: a highperformance configurable NTT Butterfly Unit using RSFQ electronics
title_sort towards superconducting cryptographic accelerators a highperformance configurable ntt butterfly unit using rsfq electronics
topic Superconductors
Number theory -- Data processing
High performance computing
Quantum theory
Logic circuits -- Computer-aided design
UCTD
url https://scholar.sun.ac.za/handle/10019.1/132508
work_keys_str_mv AT phetlasiphiwehosea towardssuperconductingcryptographicacceleratorsahighperformanceconfigurablenttbutterflyunitusingrsfqelectronics