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The Discrete Logarithm Problem (DLP) for elliptic curves has been extensively studied since, for instance, it is the core of the security of cryptosystems like Elliptic Curve Cryptography (ECC). In this paper, we present an attack to the…

Algebraic Geometry · Mathematics 2023-04-28 Giuseppe Filippone

Aiming for strong security assurance, recently there has been an increasing interest in formal verification of cryptographic constructions. This paper presents a mechanised formal verification of the popular Pedersen commitment protocol,…

Cryptography and Security · Computer Science 2019-01-17 Roberto Metere , Changyu Dong

Whilst many key exchange and digital signature systems still rely on NIST P-256 (secp256r1) and secp256k1, offering around 128-bit security, there is an increasing demand for transparent and reproducible curves at the 256-bit security…

Cryptography and Security · Computer Science 2026-04-21 Víctor Duarte Melo , William J. Buchanan

Cryptographic Protocols (CP) are distributed algorithms intended for secure communication in an insecure environment. They are used, for example, in electronic payments, electronic voting procedures, systems of confidential data processing,…

Cryptography and Security · Computer Science 2021-09-21 Andrew M. Mironov

Digital signatures are widely used in modern communication to guarantee authenticity and transferability of messages, The security of currently used classical schemes relies on computational assumptions. We present a quantum signature…

Quantum Physics · Physics 2016-10-06 Ryan Amiri , Petros Wallden , Adrian Kent , Erika Andersson

The electronic mail plays an unavoidable role in the humankind communications. With the great interest for the connection via mobile platforms, and the growing number of vulnerabilities and attacks, it is essential to provide suitable…

Cryptography and Security · Computer Science 2012-03-20 M. Toorani

We present a quantum probabilistic encryption algorithm for a private-key encryption scheme based on conjugate coding of the qubit string. A probabilistic encryption algorithm is generally adopted in public-key encryption protocols. Here we…

Quantum Physics · Physics 2013-02-28 Li Yang , Chong Xiang , Bao Li

RSA(Rivest, Shamir and Adleman)is being used as a public key exchange and key agreement tool for many years. Due to large numbers involved in RSA, there is need for more efficient methods in implementation for public key cryptosystems.…

Cryptography and Security · Computer Science 2011-09-12 Muhammad Yasir Malik

A scheme for secure communications, called ``Secret-message Transmission by Echoing Encrypted Probes (STEEP)'', is revisited. STEEP is a round-trip scheme with a probing phase from one user to another and an echoing phase in the reverse…

Signal Processing · Electrical Eng. & Systems 2025-07-21 Yingbo Hua

A cryptographic protocol (CP) is a distributed algorithm designed to provide a secure communication in an insecure environment. CPs are used, for example, in electronic payments, electronic voting procedures, database access systems, etc.…

Cryptography and Security · Computer Science 2020-11-25 A. M. Mironov

A ($t$, $n$) threshold quantum secret sharing (QSS) is proposed based on a single $d$-level quantum system. It enables the ($t$, $n$) threshold structure based on Shamir's secret sharing and simply requires sequential communication in…

Quantum Physics · Physics 2018-10-10 Changbin Lu , Fuyou Miao , Junpeng Hou , Keju Meng

For avoiding the exposure of plaintexts in cloud environments, some homomorphic hashing algorithms have been proposed to generate the hash value of each plaintext, and cloud environments only store the hash values and calculate the hash…

Cryptography and Security · Computer Science 2024-02-05 Abel C. H. Chen

Elliptic curve cryptography (ECC) is a remarkable mathematical tool that offers the same level of security as traditional public-key cryptography (PKC) with a significantly smaller key size and lower computational requirements. The use of…

Cryptography and Security · Computer Science 2023-07-20 Mahender Kumar

Signature schemes, proposed in 1976 by Diffie and Hellman, have become ubiquitous across modern communications. They allow for the exchange of messages from one sender to multiple recipients, with the guarantees that messages cannot be…

Quantum Physics · Physics 2015-08-11 Ryan Amiri , Erika Andersson

Ring signature is a kind of group-oriented signature. It allows a member of a group to sign messages on behalf of the group without revealing his/her identity. Certificateless public key cryptography was first introduced by Al-Riyami and…

Cryptography and Security · Computer Science 2017-12-27 Lei Zhang , Futai Zhang , Wei Wu

In this paper, we propose two cryptosystems based on group rings and existing cryptosystem. First one is Elliptic ElGamal type group ring public key cryptosystem whose security is greater than security of cryptosystems based on elliptic…

Group Theory · Mathematics 2022-05-12 Gaurav Mittal , Sunil Kumar , Shiv Narain , Sandeep Kumar

We describe a novel type of weak cryptographic private key that can exist in any discrete logarithm based public-key cryptosystem set in a group of prime order $p$ where $p-1$ has small divisors. Unlike the weak private keys based on…

Cryptography and Security · Computer Science 2020-11-26 Michael John Jacobson, , Prabhat Kushwaha

Publicly verifiable quantum money is a protocol for the preparation of quantum states that can be efficiently verified by any party for authenticity but is computationally infeasible to counterfeit. We develop a cryptographic scheme for…

Quantum Physics · Physics 2022-09-01 Andrey Boris Khesin , Jonathan Z. Lu , Peter W. Shor

General cryptographic schemes are presented where keys can be one-time or ephemeral. Processes for key exchange are derived. Public key cryptographic schemes based on the new systems are easily established. Authentication and signature…

Cryptography and Security · Computer Science 2020-04-13 Ted Hurley

This paper presents a directed signature scheme with the property that the signature can be verified only with the help of signer or signature receiver. We also propose its applications to share verification of signatures and to threshold…

Cryptography and Security · Computer Science 2007-05-23 Sunder Lal , Manoj Kumar