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We provide linear lower bounds for the signature of positive braids in terms of the three genus of their braid closure. This yields linear bounds for the topological slice genus of knots that arise as closures of positive braids.

Geometric Topology · Mathematics 2015-10-15 Peter Feller

Multi-signature is a protocol where a set of signatures jointly sign a message so that the final signature is significantly shorter than concatenating individual signatures together. Recently, it finds applications in blockchain, where…

Cryptography and Security · Computer Science 2023-02-07 Shaoquan Jiang , Dima Alhadidi , Hamid Fazli Khojir

Threshold digital signatures enable a distributed execution of signature functionalities and will play a crucial role in the security of emerging decentralized next-generation networked systems and applications. In this paper, we provide a…

Cryptography and Security · Computer Science 2024-09-18 Kiarash Sedghighadikolaei , Attila Altay Yavuz

We give presentations of braid groups and pure braid groups on surfaces.

Geometric Topology · Mathematics 2007-05-23 Paolo Bellingeri

In this paper we consider cryptographic applications of the arithmetic on the hyperoctahedral group. On an appropriate subgroup of the latter, we particularly propose to construct public key cryptosystems based on the discrete logarithm.…

Cryptography and Security · Computer Science 2017-06-16 Iharantsoa Vero Raharinirina

At CRYPTO 2017, Bela\"id et al presented two new private multiplication algorithms over finite fields, to be used in secure masking schemes. To date, these algorithms have the lowest known complexity in terms of bilinear multiplication and…

Cryptography and Security · Computer Science 2018-05-23 Pierre Karpman , Daniel S. Roche

The virtual braid groups are generalizations of the classical braid groups. This paper gives an elementary proof that the classical braid group injects into the virtual braid group over the same number of strands.

Geometric Topology · Mathematics 2020-08-25 Robin Gaudreau

The technique of hiding secret messages within seemingly harmless covertext to evade examination by censors with rigorous security proofs is known as provably secure steganography (PSS). PSS evolves from symmetric key steganography to…

Cryptography and Security · Computer Science 2025-04-29 Xin Zhang , Kejiang Chen , Na Zhao , Weiming Zhang , Nenghai Yu

Aggregate signatures are digital signatures that compress multiple signatures from different parties into a single signature, thereby reducing storage and bandwidth requirements. BLS aggregate signatures are a popular kind of aggregate…

Cryptography and Security · Computer Science 2025-05-16 Xenia Hofmeier , Andrea Raguso , Ralf Sasse , Dennis Jackson , David Basin

In this paper we propose a new digital signature protocol inspired by the DSA algorithm. The security and the complexity are analyzed. Our method constitutes an alternative if the classical scheme DSA is broken.

Cryptography and Security · Computer Science 2021-01-26 Leila Zahhafi , Omar Khadir

Three closely-related polynomial-based group key pre-distribution schemes have recently been proposed, aimed specifically at wireless sensor networks. The schemes enable any subset of a predefined set of sensor nodes to establish a shared…

Cryptography and Security · Computer Science 2026-03-20 Chris J Mitchell

This paper proposes a group membership verification protocol preventing the curious but honest server from reconstructing the enrolled signatures and inferring the identity of querying clients. The protocol quantizes the signatures into…

Cryptography and Security · Computer Science 2019-04-24 Marzieh Gheisari , Teddy Furon , Laurent Amsaleg , Behrooz Razeghi , Slava Voloshynovskiy

Quantum digital signatures (QDSs) promise information-theoretic security against repudiation and forgery of messages. Compared with currently existing three-party QDS protocols, multiparty protocols have unique advantages in the practical…

An elliptic curve-based signcryption scheme is introduced in this paper that effectively combines the functionalities of digital signature and encryption, and decreases the computational costs and communication overheads in comparison with…

Cryptography and Security · Computer Science 2012-03-21 M. Toorani , A. A. Beheshti

In this paper, we propose to use a skew dihedral group ring given by the group $D_{2n}$ and the finite field $\mathbb{F}_{q^2}$ for public-key cryptography. Using the ambient space $\mathbb{F}_{q^{2}}^{\theta} D_{2n}$ and a group…

Cryptography and Security · Computer Science 2022-05-09 Javier de la Cruz , Edgar Martínez-Moro , Ricardo Villanueva-Polanco

We study the structure of the virtual braid group. It is shown that the virtual braid group is a semi--direct product of the virtual pure braid group and the symmetric group. Also, it is shown that the virtual pure braid group is a…

Group Theory · Mathematics 2007-05-23 Valerij G. Bardakov

With the emerging of mobile communication technologies, we are entering the fifth generation mobile communication system (5G) era. Various application scenarios will arise in the 5G era to meet the different service requirements. Different…

Cryptography and Security · Computer Science 2018-11-12 Jingwei Liu , Lihuan Zhang , Rong Sun , Xiaojiang Du , Mohsen Guizani

Blind signatures play an important role in both electronic cash and electronic voting systems. Blind signatures should be secure against various attacks (such as signature forgeries). The work puts a special attention to secret key exposure…

Cryptography and Security · Computer Science 2020-07-15 Huy Quoc Le , Dung Hoang Duong , Willy Susilo , Ha Thanh Nguyen Tran , Viet Cuong Trinh , Josef Pieprzyk , Thomas Plantard

Named Data networking ensure data integrity so that every important data has to be signed by its owner in order to send it safely inside the network. Similarly, in NDN we have to assure that none could open the data except authorized users.…

Cryptography and Security · Computer Science 2015-08-04 Ali Al Imem

A paper presented at the ICICS 2019 conference describes what is claimed to be a `provably secure group authentication [protocol] in the asynchronous communication model'. We show here that this is far from being the case, as the protocol…

Cryptography and Security · Computer Science 2021-06-10 Chris J Mitchell