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Feature hashing, also known as {\em the hashing trick}, introduced by Weinberger et al. (2009), is one of the key techniques used in scaling-up machine learning algorithms. Loosely speaking, feature hashing uses a random sparse projection…

Machine Learning · Computer Science 2018-05-23 Casper Benjamin Freksen , Lior Kamma , Kasper Green Larsen

A fully homomorphic encryption system hides data from unauthorized parties, while still allowing them to perform computations on the encrypted data. Aside from the straightforward benefit of allowing users to delegate computations to a more…

We present two experimental schemes to perform continuous variable (2,3) threshold quantum secret sharing on the quadratures amplitudes of bright light beams. Both schemes require a pair of entangled light beams. The first scheme utilizes…

Quantum Physics · Physics 2009-11-07 A. M. Lance , T. Symul , W. P. Bowen , T. Tyc , B. C. Sanders , P. K. Lam

Each member of an $n$-person team has a secret, say a password. The $k$ out of $n$ gruppen secret sharing requires that any group of $k$ members should be able to recover the secrets of the other $n-k$ members, while any group of $k-1$ or…

Cryptography and Security · Computer Science 2013-10-18 Laszlo Csirmaz

Fast encoding and decoding of codes have been always an important topic in code theory as well as complexity theory. Although encoding is easier than decoding in general, designing an encoding algorithm of codes of length $N$ with…

Computational Complexity · Computer Science 2024-07-08 Songsong Li , Shu Liu , Liming Ma , Yunqi Wan , Chaoping Xing

Superconducting microwave quantum networks is a rapidly developing field, enabling distributed quantum computing and holding a promise for hybrid architectures in quantum internet. Quantum secret sharing (QSS) is one of the key protocols…

Quantum Physics · Physics 2026-04-16 W. K. Yam , C. Wilkinson , S. Gandorfer , F. Fesquet , M. Handschuh , A. Marx , R. Gross , N. Korolkova , K. G. Fedorov

A rational secret sharing scheme is a game in which each party responsible for reconstructing a secret tries to maximize his utility by obtaining the secret alone. Quantum secret sharing schemes, either derived from quantum teleportation or…

Quantum Physics · Physics 2015-08-06 Arpita Maitra , Sourya Joyee De , Goutam Paul , Asim K. Pal

Cryptographic protocols are often implemented at upper layers of communication networks, while error-correcting codes are employed at the physical layer. In this paper, we consider utilizing readily-available physical layer functions, such…

Information Theory · Computer Science 2021-01-26 Nasser Aldaghri , Hessam Mahdavifar

Threshold fully homomorphic encryption (ThFHE) enables multiple parties to compute functions over their sensitive data without leaking data privacy. Most of existing ThFHE schemes are restricted to full threshold and require the…

Cryptography and Security · Computer Science 2025-01-22 Yijia Chang , Songze Li

We construct optimal secure coded distributed schemes that extend the known optimal constructions over fields of characteristic 0 to all fields. A serendipitous result is that we can encode \emph{all} functions over finite fields with a…

Information Theory · Computer Science 2025-04-28 Pedro Soto

We introduce Magic Secret Sharing (MSS), a quantum cryptographic primitive in which the secret is the computational capability of a quantum state rather than its classical description. In the resource theory of magic, non-stabilizer states…

Quantum Physics · Physics 2026-05-19 Soumyojyoti Dutta , Tushar

We extend coded distributed computing over finite fields to allow the number of workers to be larger than the field size. We give codes that work for fully general matrix multiplication and show that in this case we serendipitously have…

Information Theory · Computer Science 2024-10-30 Gretchen L. Matthews , Pedro Soto

Disjunctive Hierarchical Secret Sharing (DHSS) scheme is a secret sharing scheme in which the set of all participants is partitioned into disjoint subsets. Each disjoint subset is said to be a level, and different levels have different…

Information Theory · Computer Science 2026-03-19 Jian Ding , Cheng Wang , Haifeng Yu , Hongju Li , Cheng Shu

We give graphical characterisation of the access structure to both classical and quantum information encoded onto a multigraph defined for prime dimension $q$, as well as explicit decoding operations for quantum secret sharing based on…

Quantum Physics · Physics 2016-10-11 Anne Marin , Damian Markham , Simon Perdrix

We investigate a hierarchy of semidefinite bounds $\vartheta^{(r)}(G)$ for the stability number $\alpha(G)$ of a graph $G$, based on its copositive programming formulation and introduced by de Klerk and Pasechnik [{\em SIAM J. Optim.} 12…

Optimization and Control · Mathematics 2024-01-23 Monique Laurent , Luis Felipe Vargas

This paper presents a recursive hiding scheme for 2 out of 3 secret sharing. In recursive hiding of secrets, the user encodes additional information about smaller secrets in the shares of a larger secret without an expansion in the size of…

Cryptography and Security · Computer Science 2009-02-17 Abhishek Parakh , Subhash Kak

Homomorphic encryption is a very useful gradient protection technique used in privacy preserving federated learning. However, existing encrypted federated learning systems need a trusted third party to generate and distribute key pairs to…

Cryptography and Security · Computer Science 2020-11-26 Hangyu Zhu , Rui Wang , Yaochu Jin , Kaitai Liang , Jianting Ning

Perfect secret sharing scheme is a method of distribute a secret information $s$ among participants such that only predefined coalitions, called qualified subsets of the participants can recover the secret, whereas any other coalitions, the…

Cryptography and Security · Computer Science 2019-06-28 Mate Gyarmati , Peter Ligeti

It is well known that physical-layer Group Secret-Key (GSK) generation techniques allow multiple nodes of a wireless network to synthesize a common secret-key, which can be subsequently used to keep their group messages confidential. As one…

Information Theory · Computer Science 2020-05-06 J. Harshan , Rohit Joshi , Manish Rao

Ouyang et al. proposed an $(n,n)$ threshold quantum secret sharing scheme, where the number of participants is limited to $n=4k+1,k\in Z^+$, and the security evaluation of the scheme was carried out accordingly. In this paper, we propose an…

Quantum Physics · Physics 2018-11-14 Hai-Yan Bai , Zhi-Hui Li , Na Hao
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