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Although homomorphic encryption can be incorporated into neural network layers for securing machine learning tasks, such as confidential inference over encrypted data samples and encrypted local models in federated learning, the…

Cryptography and Security · Computer Science 2022-12-23 Dongfang Zhao

In this technical report, we explore the use of homomorphic encryption (HE) in the context of training and predicting with deep learning (DL) models to deliver strict \textit{Privacy by Design} services, and to enforce a zero-trust model of…

Image and Video Processing · Electrical Eng. & Systems 2021-10-18 Francis Dutil , Alexandre See , Lisa Di Jorio , Florent Chandelier

PhD thesis investigating homological quantum codes derived from curved and higher dimensional geometries. In the first part we will consider closed surfaces with constant negative curvature. We show how such surfaces can be constructed and…

Quantum Physics · Physics 2018-02-06 Nikolas P. Breuckmann

We study the problems of testing isomorphism of polynomials, algebras, and multilinear forms. Our first main results are average-case algorithms for these problems. For example, we develop an algorithm that takes two cubic forms $f, g\in…

Data Structures and Algorithms · Computer Science 2023-06-22 Joshua A. Grochow , Youming Qiao , Gang Tang

This article bridges the gap between two topics used in sharing an encryption key: (i) Key Consolidation, i.e., extracting two identical strings of bits from two information sources with similarities (common randomness). (ii) Quantum-safe…

Cryptography and Security · Computer Science 2024-01-31 Amir K. Khandani

We present a conceptual framework for extending homomorphic encryption beyond arithmetic or Boolean operations into the domain of intuitionistic logic proofs and, by the Curry-Howard correspondence, into the domain of typed functional…

Logic in Computer Science · Computer Science 2025-03-11 Ben Goertzel

In this paper, we show a "direct" equivalence between certain authentication codes and robust secret sharing schemes. It was previously known that authentication codes and robust secret sharing schemes are closely related to similar types…

Cryptography and Security · Computer Science 2019-10-15 Maura B. Paterson , Douglas R. Stinson

As machine learning (ML) models become increasingly deployed through cloud infrastructures, the confidentiality of user data during inference poses a significant security challenge. Homomorphic Encryption (HE) has emerged as a compelling…

Cryptography and Security · Computer Science 2025-10-29 Tejaswini Bollikonda

Cohomology operations (including the cohomology ring) of a geometric object are finer algebraic invariants than the homology of it. In the literature, there exist various algorithms for computing the homology groups of simplicial complexes…

Algebraic Topology · Mathematics 2012-06-21 Rocio Gonzalez-Diaz , Pedro Real

Quantum algorithms can break factoring and discrete logarithm based cryptography and weaken symmetric cryptography and hash functions. In order to estimate the real-world impact of these attacks, apart from tracking the development of…

Quantum Physics · Physics 2019-02-11 Vlad Gheorghiu , Michele Mosca

As privacy concerns in AI technologies continue to grow, Homomorphic Encryption (HE) offers a way to perform computations on encrypted data without the need of decryption during operations. However, HE is limited to addition and…

Cryptography and Security · Computer Science 2026-05-25 Dimitrios Sygletos , Dimitra Papatsaroucha , Marios Choudetsanakis , Ilias Politis , Evangelos K. Markakis

Verifiable Homomorphic Encryption (VHE) is a cryptographic technique that integrates Homomorphic Encryption (HE) with Verifiable Computation (VC). It serves as a crucial technology for ensuring both privacy and integrity in outsourced…

Cryptography and Security · Computer Science 2025-10-14 Jung Hee Cheon , Daehyun Jang

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

Quantum Physics · Physics 2015-08-03 Muhammad Nadeem

The integration of quantum error correction codes and homomorphic encryption schemes is essential for achieving fault-tolerant secure cloud quantum computing. However, owing to the significant overheads associated with these schemes, their…

Quantum Physics · Physics 2025-02-21 IlKwon Sohn , Boseon Kim , Kwangil Bae , Wonhyuk Lee

We develop a generalized framework for invariant-based cryptography by extending the use of structural identities as core cryptographic mechanisms. Starting from a previously introduced scheme where a secret is encoded via a four-point…

Cryptography and Security · Computer Science 2025-05-14 Stanislav Semenov

Research in logic encryption over the last decade has resulted in various techniques to prevent different security threats such as Trojan insertion, intellectual property leakage, and reverse engineering. However, there is little agreement…

Cryptography and Security · Computer Science 2020-07-31 Yinghua Hu , Vivek V. Menon , Andrew Schmidt , Joshua Monson , Matthew French , Pierluigi Nuzzo

This study aims to develop an encrypted motion-copying system using homomorphic encryption for secure motion preservation and reproduction. A novel concept of encrypted motion-copying systems is introduced, realizing the preservation,…

Systems and Control · Electrical Eng. & Systems 2023-10-18 Haruki Takanashi , Kaoru Teranishi , Kiminao Kogiso

Encodings or the proof of their absence are the main way to compare process calculi. To analyse the quality of encodings and to rule out trivial or meaningless encodings, they are augmented with encodability criteria. There exists a bunch…

Logic in Computer Science · Computer Science 2019-08-26 Kirstin Peters

Fully homomorphic encryption (FHE) allows an untrusted party to evaluate arithmetic cir- cuits, i.e., perform additions and multiplications on encrypted data, without having the decryp- tion key. One of the most efficient class of FHE…

Data Structures and Algorithms · Computer Science 2017-11-20 Hao Chen

Homomorphic encryption (HE) allows secure computation on encrypted data without revealing the original data, providing significant benefits for privacy-sensitive applications. Many cloud computing applications (e.g., DNA read mapping,…

Cryptography and Security · Computer Science 2025-03-13 Mayank Kabra , Rakesh Nadig , Harshita Gupta , Rahul Bera , Manos Frouzakis , Vamanan Arulchelvan , Yu Liang , Haiyu Mao , Mohammad Sadrosadati , Onur Mutlu