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McEliece cryptosystem represents a smart open key system based on the hardness of the decoding of an arbitrary linear code, which is believed to be able to resist the advent of quantum computers. But the original McEliece cryptosystem,…

Cryptography and Security · Computer Science 2020-06-02 Fedor Ivanov , Eugenii Krouk

Recently, several public key exchange protocols based on symbolic computation in non-commutative (semi)groups were proposed as a more efficient alternative to well established protocols based on numeric computation. Notably, the protocols…

Group Theory · Mathematics 2016-09-07 Vladimir Shpilrain , Alexander Ushakov

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

Artin's braid groups have been recently suggested as a new source for public-key cryptography. In this paper we propose the first group signature schemes based on the conjugacy problem, decomposition problem and root problem in the braid…

Cryptography and Security · Computer Science 2007-05-23 Tony Thomas , Arbind Kumar Lal

Steganography embeds secret messages in seemingly innocuous carriers for covert communication under surveillance. Current Provably Secure Steganography (PSS) schemes based on language models can guarantee computational indistinguishability…

Cryptography and Security · Computer Science 2026-04-30 Kaiyi Pang , Minhao Bai

A key encapsulation mechanism (KEM) that takes as input an arbitrary string, i.e., a tag, is known as tag-KEM, while a scheme that combines signature and encryption is called signcryption. In this paper, we present a code-based signcryption…

Cryptography and Security · Computer Science 2023-03-22 Jean Belo Klamti , M. Anwar Hasan

This work presents some novel techniques to enhance an encryption scheme motivated by classical McEliece cryptosystem. Contributions include: (1) using masking matrices to hide sensitive data, (2) allowing both legitimate parties to…

Cryptography and Security · Computer Science 2024-01-30 Amir K. Khandani

In 2002, Johnson et al. posed an open problem at the Cryptographers' Track of the RSA Conference: how to construct a secure homomorphic signature on a semigroup, rather than on a group. In this paper, we introduce, for the first time, a…

Cryptography and Security · Computer Science 2025-03-24 Heng Guo , Kun Tian , Fengxia Liu , Zhiyong Zheng

Quantum computers can break the RSA and El Gamal public-key cryptosystems, since they can factor integers and extract discrete logarithms. If we believe that quantum computers will someday become a reality, we would like to have…

Cryptography and Security · Computer Science 2010-10-19 Hang Dinh , Cristopher Moore , Alexander Russell

In this paper, we suggest a code-based public key encryption scheme, called McNie. McNie is a hybrid version of the McEliece and Niederreiter cryptosystems and its security is reduced to the hard problem of syndrome decoding. The public key…

Cryptography and Security · Computer Science 2019-01-29 Jon-Lark Kim , Young-Sik Kim , Lucky Galvez , Myeong Jae Kim , Nari Lee

The security of public-key cryptosystems is mostly based on number theoretic problems like factorization and the discrete logarithm. There exists an algorithm which solves these problems in polynomial time using a quantum computer. Hence,…

Information Theory · Computer Science 2015-11-30 Sven Puchinger , Sven Müelich , Karim Ishak , Martin Bossert

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

Several recently proposed code-based cryptosystems base their security on a slightly generalized version of the classical (syndrome) decoding problem. Namely, in the so-called restricted (syndrome) decoding problem, the error values stem…

Cryptography and Security · Computer Science 2023-06-09 Marco Baldi , Sebastian Bitzer , Alessio Pavoni , Paolo Santini , Antonia Wachter-Zeh , Violetta Weger

We show the following hold, unconditionally unless otherwise stated, relative to a random oracle: - There are NP search problems solvable by quantum polynomial-time machines but not classical probabilistic polynomial-time machines. - There…

Quantum Physics · Physics 2024-11-12 Takashi Yamakawa , Mark Zhandry

Chosen-ciphertext security, which guarantees confidentiality of encrypted messages even in the presence of a decryption oracle, has become the defacto notion of security for public-key encryption under active attack. In this manuscript, for…

Cryptography and Security · Computer Science 2014-04-08 Roohallah Rastaghi

This letter presents a cryptanalysis of the modified McEliece cryptosystem recently proposed by Moufek, Guenda and Gulliver [24]. The system is based on the juxtaposition of quasi-cyclic LDPC and quasi-cyclic MDPC codes. The idea of our…

Cryptography and Security · Computer Science 2017-12-07 Vlad Dragoi , Hervé Talé Kalachi

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

A new scheme of probabilistic subgroup-related encryption is introduced. Some applications of this scheme based on the RSA, Diffie-Hellman and ElGamal encryption algorithms are described. Security assumptions and main advantages of this…

Cryptography and Security · Computer Science 2016-03-08 Vitalii Roman'kov

In this paper, we study code-based signatures constructed from Proof of Knowledge (PoK). This line of work can be traced back to Stern who introduces the first efficient PoK for the syndrome decoding problem in 1993. Afterward, different…

Cryptography and Security · Computer Science 2022-01-17 Loïc Bidoux , Philippe Gaborit , Mukul Kulkarni , Victor Mateu

In this paper, we address the problem of achieving efficient code-based digital signatures with small public keys. The solution we propose exploits sparse syndromes and randomly designed low-density generator matrix codes. Based on our…

Cryptography and Security · Computer Science 2013-05-24 Marco Baldi , Marco Bianchi , Franco Chiaraluce , Joachim Rosenthal , Davide Schipani