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We propose a multi-bit leveled fully homomorphic encryption scheme using multivariate polynomial evaluations. The security of the scheme depends on the hardness of the Learning with Errors (LWE) problem. For homomorphic multiplication, the…

Cryptography and Security · Computer Science 2020-07-02 Uddipana Dowerah , Srinivasan Krishnaswamy

Encryption schemes often derive their power from the properties of the underlying algebra on the symbols used. Inspired by group theoretic tools, we use the centralizer of a subgroup of operations to present a private-key quantum…

Quantum Physics · Physics 2020-02-21 Si-Hui Tan , Joshua A. Kettlewell , Yingkai Ouyang , Lin Chen , Joseph F. Fitzsimons

A key operation in federated learning is the aggregation of gradient vectors generated by individual client nodes. We develop a method based on multiparty homomorphic encryption (MPHE) that enables the central node to compute this…

Cryptography and Security · Computer Science 2025-03-04 Erfan Hosseini , Shuangyi Chen , Ashish Khisti

This paper presents an enhanced post-quantum key agreement protocol based on R\'{e}nyi entropy, addressing vulnerabilities in the original construction while preserving information-theoretic security properties. We develop a theoretical…

Cryptography and Security · Computer Science 2026-03-10 Ruopengyu Xu , Chenglian Liu

Fully homomorphic encryption is an encryption method with the property that any computation on the plaintext can be performed by a party having access to the ciphertext only. Here, we formally define and give schemes for quantum homomorphic…

Quantum Physics · Physics 2016-01-11 Anne Broadbent , Stacey Jeffery

Post-quantum cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using for instance Shor's polynomial time algorithm for numerical field problems like integer factorization (IFP) or the discrete logarithm (DLP).…

Cryptography and Security · Computer Science 2024-12-31 Pedro Hecht

As quantum computing matures into a practical paradigm, the need for secure and private quantum computation on untrusted hardware becomes increasingly urgent. While classical fully homomorphic encryption has enabled computation over…

Quantum Physics · Physics 2026-04-22 Jon Hernández-Bueno , Oscar Lage , Marivi Higuero , Jasone Astorga

Deep learning (DL) approaches are achieving extraordinary results in a wide range of domains, but often require a massive collection of private data. Hence, methods for training neural networks on the joint data of different data owners,…

Cryptography and Security · Computer Science 2021-10-27 Derian Boer , Stefan Kramer

The gold-standard for security in quantum cryptographic protocols is information-theoretic security. Information-theoretic security is surely future-proof, because it makes no assumptions on the hardness of any computational problems and…

Quantum Physics · Physics 2025-06-06 Yingkai Ouyang , Peter P. Rohde

We present a lattice-based scheme for homomorphic evaluation of quantum programs and proofs that remains secure against quantum adversaries. Classical homomorphic encryption is lifted to the quantum setting by replacing composite-order…

Quantum Physics · Physics 2025-05-01 Ben Goertzel

We propose a symmetric key homomorphic encryption scheme based on the evaluation of multivariate polynomials over a finite field. The proposed scheme is somewhat homomorphic with respect to addition and multiplication. Further, we define a…

Cryptography and Security · Computer Science 2019-02-18 Uddipana Dowerah , Srinivasan Krishnaswamy

Secure aggregation enables a group of mutually distrustful parties, each holding private inputs, to collaboratively compute an aggregate value while preserving the privacy of their individual inputs. However, a major challenge in adopting…

Cryptography and Security · Computer Science 2025-04-14 Romain de Laage , Peterson Yuhala , François-Xavier Wicht , Pascal Felber , Christian Cachin , Valerio Schiavoni

The advent of 5G and beyond has brought increased performance networks, facilitating the deployment of services closer to the user. To meet performance requirements such services require specialized hardware, such as Field Programmable Gate…

We construct a constant-round zero-knowledge classical argument for NP secure against quantum attacks. We assume the existence of Quantum Fully-Homomorphic Encryption and other standard primitives, known based on the Learning with Errors…

Quantum Physics · Physics 2020-04-22 Nir Bitansky , Omri Shmueli

Federated Learning has rapidly expanded from its original inception to now have a large body of research, several frameworks, and sold in a variety of commercial offerings. Thus, its security and robustness is of significant importance.…

Cryptography and Security · Computer Science 2025-10-02 Simone Bottoni , Giulio Zizzo , Stefano Braghin , Alberto Trombetta

Joint encryption-encoding schemes have been released to fulfill both reliability and security desires in a single step. Using Low Density Parity Check (LDPC) codes in joint encryption-encoding schemes, as an alternative to classical linear…

Information Theory · Computer Science 2019-02-22 Hossein Khayami , Taraneh Eghlidos , Mohammad Reza Aref

Post-quantum cryptography (PQC) is moving from evaluation to deployment as NIST finalizes standards for ML-KEM, ML-DSA, and SLH-DSA. This survey maps the space from foundations to practice. We first develop a taxonomy across lattice-,…

Cryptography and Security · Computer Science 2025-10-14 Gaurab Chhetri , Shriyank Somvanshi , Pavan Hebli , Shamyo Brotee , Subasish Das

Traditional cryptographic techniques, including token obfuscation, are increasingly vulnerable to quantum attacks due to advancements in quantum computing. Quantum algorithms such as Shor's and Grover's pose significant threats to classical…

Quantum Physics · Physics 2025-06-27 S. M. Yousuf Iqbal Tomal , Abdullah Al Shafin

We present novel homomorphic encryption schemes for integer arithmetic, intended for use in secure single-party computation in the cloud. These schemes are capable of securely computing only low degree polynomials homomorphically, but this…

Cryptography and Security · Computer Science 2017-02-27 James Dyer , Martin Dyer , Jie Xu

Quantum homomorphic encryption integrates quantum computing with homomorphic encryption, which allows calculations to be performed directly on encrypted data without decryption on the server side. In this paper, we explore distributed…

Quantum Physics · Physics 2025-02-27 Haoyun Zhang , Yu-Ting Lei , Xing-bo Pan