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Related papers: Enhanced public key security for the McEliece cryp…

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We give a polynomial time attack on the McEliece public key cryptosystem based on subcodes of algebraic geometry (AG) codes. The proposed attack reposes on the distinguishability of such codes from random codes using the Schur product.…

Information Theory · Computer Science 2014-09-30 Alain Couvreur , Irene Márquez-Corbella , Ruud Pellikaan

We analyze the security and reliability of a recently proposed class of public-key cryptosystems against attacks by unauthorized parties who have acquired partial knowledge of one or more of the private key components and/or of the…

Disordered Systems and Neural Networks · Physics 2009-11-10 N. S. Skantzos , D. Saad , Y. Kabashima

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

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

McEliece encryption scheme which enjoys relatively small key sizes as well as a security reduction to hard problems of coding theory. Furthermore, it remains secure against a quantum adversary and is very well suited to low cost…

Cryptography and Security · Computer Science 2016-08-23 Julia Chaulet , Nicolas Sendrier

We propose to use real-valued errors instead of classical bit flipping intentional errors in the McEliece cryptosystem based on moderate-density parity-check (MDPC) codes. This allows to exploit the error correcting capability of these…

Information Theory · Computer Science 2017-03-02 Marco Baldi , Paolo Santini , Franco Chiaraluce

Due to the recent challenges in post-quantum cryptography, several new approaches for code-based cryptography have been proposed. For example, a variant of the McEliece cryptosystem based on interleaved codes was proposed. In order to deem…

Information Theory · Computer Science 2022-05-30 Anmoal Porwal , Lukas Holzbaur , Hedongliang Liu , Julian Renner , Antonia Wachter-Zeh , Violetta Weger

We solve an open question in code-based cryptography by introducing two provably secure group signature schemes from code-based assumptions. Our basic scheme satisfies the CPA-anonymity and traceability requirements in the random oracle…

Cryptography and Security · Computer Science 2020-02-19 Martianus Frederic Ezerman , Hyung Tae Lee , San Ling , Khoa Nguyen , Huaxiong Wang

An improved design of a cryptosystem based on small Ree groups is proposed. We have changed the encryption algorithm and propose to use a logarithmic signature for the entire Ree group. This approach improves security against sequential key…

Cryptography and Security · Computer Science 2025-04-28 Gennady Khalimov , Yevgen Kotukh

We develop a public key cryptosystem based on invariants of diagonalizable groups and investigate properties of such cryptosystem first over finite fields, then over number fields and finally over finite rings. We consider the security of…

Cryptography and Security · Computer Science 2016-07-12 Frantisek Marko , Alexandr N. Zubkov , Martin Juras

L\"ondahl and Johansson proposed last year a variant of the McEliece cryptosystem which replaces Goppa codes by convolutional codes. This modification is supposed to make structural attacks more difficult since the public generator matrix…

Cryptography and Security · Computer Science 2013-02-22 Grégory Landais , Jean-Pierre Tillich

This paper puts a new light on secure data storage inside distributed systems. Specifically, it revisits computational secret sharing in a situation where the encryption key is exposed to an attacker. It comes with several contributions:…

Cryptography and Security · Computer Science 2020-02-18 Katarzyna Kapusta , Gerard Memmi , Matthieu Rambaud

Based on quantum encryption, we present a new idea for quantum public-key cryptography (QPKC) and construct a whole theoretical framework of a QPKC system. We show that the quantum-mechanical nature renders it feasible and reasonable to use…

Quantum Physics · Physics 2009-12-23 Fei Gao , Qiao-Yan Wen , Su-Juan Qin , Fu-Chen Zhu

We give a decoding algorithm for a class of error-correcting codes, which can be used in the DHH-cryptosystem, which is a candidate for post-quantum cryptography, since it is of McEliece type. Furthermore, we implement the encryption and…

Cryptography and Security · Computer Science 2023-03-20 Carolin Hannusch , Giuseppe Filippone

This paper presents a new technique for disturbing the algebraic structure of linear codes in code-based cryptography. This is a new attempt to exploit Gabidulin codes in the McEliece setting and almost all the previous cryptosystems of…

Information Theory · Computer Science 2022-05-09 Wenshuo Guo , Fang-Wei Fu

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

The main practical limitation of the McEliece public-key encryption scheme is probably the size of its key. A famous trend to overcome this issue is to focus on subclasses of alternant/Goppa codes with a non trivial automorphism group. Such…

Information Theory · Computer Science 2014-05-21 Jean-Charles Faugère , Ayoub Otmani , Ludovic Perret , Frédéric de Portzamparc , Jean-Pierre Tillich

We propose public-key cryptosystems with public key a system of polynomial equations, algebraic or differential, and private key a single polynomial or a small-size ideal. We set up probabilistic encryption, signature, and signcryption…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

We show that the Cao-Li cryptosystem proposed in \cite{CL1} is not secure. Its private key can be reconstructed from its public key using elementary means such as LU-decomposition and Euclidean algorithm.

Cryptography and Security · Computer Science 2007-05-23 Lek-Heng Lim

We present several quantum public-key encryption (QPKE) protocols designed with conjugate coding single-photon string, thus may be realized in laboratory with nowadays techniques. Two of these schemes are orienting one-bit message, and are…

Quantum Physics · Physics 2013-04-22 Li Yang , Biyao Yang , Chong Xiang