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In this paper, algorithms for multivariate public key cryptography and digital signature are described. Plain messages and encrypted messages are arrays, consisting of elements from a fixed finite ring or field. The encryption and…

Cryptography and Security · Computer Science 2018-09-25 Duggirala Meher Krishna , Duggirala Ravi

Publicly verifiable delegation is a well-known problem involving a user who wishes to outsource a resource-intensive computational task to a more powerful but potentially untrusted server such that any other party is able to efficiently…

Cryptography and Security · Computer Science 2026-04-28 Ameer Mohammed , Aydin Abadi , Jaffer Mahdi

We present a quantum digital signature scheme whose security is based on fundamental principles of quantum physics. It allows a sender (Alice) to sign a message in such a way that the signature can be validated by a number of different…

Quantum Physics · Physics 2007-05-23 Daniel Gottesman , Isaac Chuang

On-demand authentication is critical for scalable quantum systems, yet current approaches require the signer to initiate communication, creating unnecessary overhead. We introduce a new method where the verifier can request authentication…

Quantum Physics · Physics 2025-12-08 Wusheng Wang , Masahito Hayashi

Existing quantum cryptographic schemes are not, as they stand, operable in the presence of noise on the quantum communication channel. Although they become operable if they are supplemented by classical privacy-amplification techniques, the…

Quantum Physics · Physics 2009-01-23 D. Deutsch , A. Ekert , R. Jozsa , C. Macchiavello , S. Popescu , A. Sanpera

Traditional methods in public key cryptography are based on number theory, and suffer from problems such as dealing with very large numbers, making key creation cumbersome. Here, we propose a new public key cryptosystem based on strings…

Cryptography and Security · Computer Science 2015-01-20 M. Andrecut

A private information retrieval (PIR) scheme allows a client to retrieve a data item $x_i$ among $n$ items $x_1,x_2,\ldots,x_n$ from $k$ servers, without revealing what $i$ is even when $t < k$ servers collude and try to learn $i$. Such a…

Cryptography and Security · Computer Science 2023-09-26 Quang Cao , Hong Yen Tran , Son Hoang Dau , Xun Yi , Emanuele Viterbo , Chen Feng , Yu-Chih Huang , Jingge Zhu , Stanislav Kruglik , Han Mao Kiah

This article is a short introduction to the theory of the groups of points of elliptic curves over finite fields. It is concerned with the elementary theory and practice of elliptic curves cryptography, the new generation of public key…

General Mathematics · Mathematics 2012-12-18 N. A. Carella

Elliptic curve cryptography (ECC) is a widely established cryptographic technique, recognized for its effectiveness and reliability across a broad range of applications such as securing telecommunications or safeguarding cryptocurrency…

Quantum Physics · Physics 2025-01-20 Diego Polimeni , Raphael Seidel

A novel communication protocol based on an entangled pair of qubits is presented, allowing secure direct communication from one party to another without the need for a shared secret key. Since the information is transferred in a…

Quantum Physics · Physics 2013-05-29 Kim Bostroem

A peer-to-peer network, enabling different parties to jointly store and run computations on data while keeping the data completely private. Enigma's computational model is based on a highly optimized version of secure multi-party…

Cryptography and Security · Computer Science 2015-06-12 Guy Zyskind , Oz Nathan , Alex Pentland

We propose a new proof method for direct coding theorems for wiretap channels where the eavesdropper has access to a quantum version of the transmitted signal on an infinite-dimensional Hilbert space and the legitimate parties communicate…

Information Theory · Computer Science 2025-03-25 Matthias Frey , Igor Bjelaković , Janis Nötzel , Sławomir Stańczak

This paper provides a simple variation of the basic ideas of the BB84 quantum cryptographic scheme leading to a method of key expansion. A secure random sequence (the bases sequence) determines the encoding bases in a proposed scheme. Using…

Quantum Physics · Physics 2009-10-30 Won Young Hwang , In Gyu Koh , Yeong Deok Han

The elliptic curve discrete logarithm problem is of fundamental importance in public-key cryptography. It is in use for a long time. Moreover, it is an interesting challenge in computational mathematics. Its solution is supposed to provide…

Cryptography and Security · Computer Science 2023-10-09 Ansari Abdullah , Ayan Mahalanobis

Traceable signatures (Kiayas et al., EUROCRYPT 2004) is an anonymous digital signature system that extends the tracing power of the opening authority in group signatures. There are many known constructions of traceable signatures, but all…

Cryptography and Security · Computer Science 2025-10-29 Nam Tran , Khoa Nguyen , Dongxi Liu , Josef Pieprzyk , Willy Susilo

A new cryptographic tool, anonymous quantum key technique, is introduced that leads to unconditionally secure key distribution and encryption schemes that can be readily implemented experimentally in a realistic environment. If quantum…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

The Internet, a rapidly expanding communication infrastructure, poses significant cybersecurity challenges. A few techniques have been developed to provide security in the OSI model's application, presentation, and network layers. Instead…

Cryptography and Security · Computer Science 2021-09-28 Donald Somiari Ene , Isobo Nelson Davies , Godwin Fred Lenu , Ibiere Boma Cookey

This document presents the security protocol verifier CryptoVerif.CryptoVerif does not rely on the symbolic, Dolev-Yao model, but on the computational model. It can verify secrecy, correspondence (which include authentication), and…

Cryptography and Security · Computer Science 2023-10-24 Bruno Blanchet

A quantum tamper-evident encryption scheme is a non-interactive symmetric-key encryption scheme mapping classical messages to quantum ciphertexts such that an honest recipient of a ciphertext can detect with high probability any meaningful…

Quantum Physics · Physics 2025-05-21 Sébastien Lord

Broadbent and Islam (TCC '20) proposed a quantum cryptographic primitive called quantum encryption with certified deletion. In this primitive, a receiver in possession of a quantum ciphertext can generate a classical certificate that the…

Quantum Physics · Physics 2022-01-11 Taiga Hiroka , Tomoyuki Morimae , Ryo Nishimaki , Takashi Yamakawa