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Related papers: Hidden Polynomial(s) Cryptosystems

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Several cryptographic protocols constructed based on less-known algorithmic problems, such as those in non-commutative groups, group rings, semigroups, etc., which claim quantum security, have been broken through classical reduction methods…

Cryptography and Security · Computer Science 2022-07-28 Simran Tinani

There are several public key establishment protocols as well as complete public key cryptosystems based on allegedly hard problems from combinatorial (semi)group theory known by now. Most of these problems are search problems, i.e., they…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain , Gabriel Zapata

We propose an adaptive threshold multi secret sharing scheme based solely on cryptographically secure hash functions. We show that the proposed scheme is also: perfect, ideal, verifiable, and proactive. Moreover the proposed scheme has a…

Cryptography and Security · Computer Science 2023-02-07 M. Andrecut

We investigate the security assumptions behind three public-key quantum money schemes. Aaronson and Christiano proposed a scheme based on hidden subspaces of the vector space $\mathbb{F}_2^n$ in 2012. It was conjectured by Pena et al in…

Quantum Physics · Physics 2022-11-01 Andriyan Bilyk , Javad Doliskani , Zhiyong Gong

This paper proposes a new homomorphic functional encryption using modular multiplications over a hidden ring. Unlike traditional homomorphic encryption where users can only passively perform ciphertext addition or multiplication, the…

Cryptography and Security · Computer Science 2023-01-31 Randy Kuang , Maria Perepechaenko , Ryan Toth

We design polynomial time schemes for secure message transmission over arbitrary networks, in the presence of an eavesdropper, and where each edge corresponds to an erasure channel with public feedback. Our schemes are described through…

Information Theory · Computer Science 2015-04-27 Athanasios Papadopoulos , Laszlo Czap , Christina Fragouli

After some excitement generated by recently suggested public key exchange protocols due to Anshel-Anshel-Goldfeld and Ko-Lee et al., it is a prevalent opinion now that the conjugacy search problem is unlikely to provide sufficient level of…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain , Gabriel Zapata

We use extensions of tropical algebras as platforms for very efficient public key exchange protocols.

Cryptography and Security · Computer Science 2018-11-16 Dima Grigoriev , Vladimir Shpilrain

An algorithm is presented that in context of public key use of Elliptic Curve Cryptography allows discovery of the private key in worst case O(n).

Cryptography and Security · Computer Science 2009-12-24 Charles Sauerbier

The sharing of public key information is central to the digital credential security model, but the existing Web PKI with its opaque Certification Authorities and synthetic attestations serves a very different purpose. We propose a new…

Cryptography and Security · Computer Science 2024-01-08 Tim Hobson , Lydia France , Sam Greenbury , Luke Hare , Pamela Wochner

ITRU cryptosystem is a public key cryptosystem and one of the known variants of NTRU cryptosystem. Instead of working in a truncated polynomial ring, ITRU cryptosystem is based on the ring of integers. The authors claimed that ITRU has…

Cryptography and Security · Computer Science 2020-05-20 Hashim H. R. , Molnár A. , Tengely Sz

We introduce a new type of cryptographic primitive that we call hiding fingerprinting. A (quantum) fingerprinting scheme translates a binary string of length $n$ to $d$ (qu)bits, typically $d\ll n$, such that given any string $y$ and a…

Quantum Physics · Physics 2022-03-30 Dmytro Gavinsky , Tsuyoshi Ito

This paper presents an identity based multi-proxy multi-signcryption scheme from pairings. In this scheme a proxy signcrypter group could authorized as a proxy agent by the coopration of all members in the original signcryption group. Then…

Cryptography and Security · Computer Science 2007-05-23 Sunder Lal , Tej Singh

In this paper, we study a security problem of protecting secrets in distributed systems. Specifically, we employ discrete-event systems to describe the structure and behaviour of distributed systems, in which global secret information is…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Shoma Matsui , Kai Cai , Karen Rudie

Here we concerned with quantum key distribution - a way to establish common cryptographic key between several parties. The work proposes a combination between quantum key distribution and systematic polar coding (an error correction…

Quantum Physics · Physics 2025-11-25 Georgi Bebrov

Inspired by Fujita's analysis [Quantum inf. & comput. 12(3&4), 2012], we suggest a twice-encryption scheme to improve the security of the original quantum McEliece public-key encryption algorithm.

Quantum Physics · Physics 2013-04-23 Li Yang , Min Liang

We propose new provable practical deterministic polynomial time algorithm for the braid Wang, Xu, Li, Lin and Wang Double shielded public key cryptosystems. We show that a linear decomposition attack based on the decomposition method…

Group Theory · Mathematics 2020-10-19 Vitaly Roman'kov

We introduce a family of QKD protocols for distributing shared random keys within a network of $n$ users. The advantage of these protocols is that any possible key structure needed within the network, including broadcast keys shared among…

Quantum Physics · Physics 2018-03-21 Matej Pivoluska , Marcus Huber , Mehul Malik

We propose a comparative performance evaluation of security protocols. The novelty of our approach lies in the use of a polynomial mathematical model that captures the performance of classes of cryptographic algorithms instead of capturing…

Cryptography and Security · Computer Science 2009-10-21 Bela Genge , Piroska Haller

When elementary quantum systems, such as polarized photons, are used to transmit digital information, the uncertainty principle gives rise to novel cryptographic phenomena unachievable with traditional transmission media, e.g. a…

Quantum Physics · Physics 2021-03-23 Charles H. Bennett , Gilles Brassard