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Lattice based encryption schemes and linear code based encryption schemes have received extensive attention in recent years since they have been considered as post-quantum candidate encryption schemes. Though LLL reduction algorithm has…

Cryptography and Security · Computer Science 2015-12-29 Yongge Wang

In this paper we present a variant of the McEliece cryptosystem that possesses several interesting properties, including a reduction of the public key for a given security level. In contrast to the classical McEliece cryptosystems, where…

Information Theory · Computer Science 2023-12-12 Paulo Almeida , Miguel Beltrá , Diego Napp , Cláudia Sebastião

The McEliece cryptosystem based on quasi-cyclic moderate-density parity-check (QC-MDPC) codes is first purposed in 2013\cite{QCMDPC} and is considered a promising contender in the post-quantum era. Understanding its security is hence…

Cryptography and Security · Computer Science 2019-12-17 Han Li

The security of code-based cryptosystems such as the McEliece cryptosystem relies primarily on the difficulty of decoding random linear codes. The best decoding algorithms are all improvements of an old algorithm due to Prange: they are…

Cryptography and Security · Computer Science 2017-04-25 Ghazal Kachigar , Jean-Pierre Tillich

A fault injection framework for the decryption algorithm of the Niederreiter public-key cryptosystem using binary irreducible Goppa codes and classical decoding techniques is described. In particular, we obtain low-degree polynomial…

Information Theory · Computer Science 2023-06-22 Julian Danner , Martin Kreuzer

NTRU public key cryptosystem is well studied lattice-based Cryptosystem along with Ajtai-Dwork and GGH systems. Underlying NTRU is a hard mathematical problem of finding short vectors in a certain lattice. (Shamir 1997) presented a…

Cryptography and Security · Computer Science 2009-02-12 Nitin Vats

Code-based public-key cryptosystems based on QC-LDPC and QC-MDPC codes are promising post-quantum candidates to replace quantum vulnerable classical alternatives. However, a new type of attacks based on Bob's reactions have recently been…

Cryptography and Security · Computer Science 2018-08-07 Paolo Santini , Marco Baldi , Franco Chiaraluce

Most modern cryptographic systems, such as RSA and the Diffie-Hellman Key Exchange, rely on "trapdoor" mathematical functions that are presumed to be computationally difficult with existing tools. However, quantum computers will be able to…

Cryptography and Security · Computer Science 2025-05-15 Alexander Meyer

Cryptography is the science of using mathematics to encrypt and decrypt data. Cryptography enables you to store sensitive information or transmit it across insecure networks so that it cannot be read by anyone except the intended recipient.…

Cryptography and Security · Computer Science 2011-10-10 Penmetsa V. Krishna Raja , A. S. N. Chakravarthy , P. S. Avadhani

The rank decoding problem has been the subject of much attention in this last decade. This problem, which is at the base of the security of public-key cryptosystems based on rank metric codes, is traditionally studied over finite fields.…

Information Theory · Computer Science 2022-08-16 Hervé Tale Kalachi , Hermann Tchatchiem Kamche

The interesting properties of classical Goppa code and its effective decoding algorithm (algorithm of patterson) make the most appropriate candidate for use in the MC Eliece cryptosystem. Information leakage which results from the…

Cryptography and Security · Computer Science 2014-03-11 Ahmed Drissi , Ahmed Asimi

Considering the prospects of public key embedding (PKE) mechanism in active forensics on the integrity or identity of ciphertext for distributed deep learning security, two reversible data hiding in encrypted domain (RDH-ED) algorithms with…

Cryptography and Security · Computer Science 2022-09-01 Yan Ke , Minqing Zhang , Xinpeng Zhang , Yiliang Han , Jia Liu

We report on a recent implementation of Giesbrecht's algorithm for factoring polynomials in a skew-polynomial ring. We also discuss the equivalence between factoring polynomials in a skew-polynomial ring and decomposing $p^s$-polynomials…

Commutative Algebra · Mathematics 2016-11-15 Robert S. Coulter , George Havas , Marie Henderson

Rank Decoding (RD) is the main underlying problem in rank-based cryptography. Based on this problem and quasi-cyclic versions of it, very efficient schemes have been proposed recently, such as those in the ROLLO and RQC submissions, which…

Cryptography and Security · Computer Science 2021-02-10 Magali Bardet , Maxime Bros , Daniel Cabarcas , Philippe Gaborit , Ray Perlner , Daniel Smith-Tone , Jean-Pierre Tillich , Javier Verbel

The wide deployment of the generative pre-trained transformer (GPT) has raised privacy concerns for both clients and servers. While cryptographic primitives can be employed for secure GPT inference to protect the privacy of both parties,…

Cryptography and Security · Computer Science 2025-05-22 Zhengyi Li , Yue Guan , Kang Yang , Yu Feng , Ning Liu , Yu Yu , Jingwen Leng , Minyi Guo

Different variants of the code-based McEliece cryptosystem were pro- posed to reduce the size of the public key. All these variants use very structured codes, which open the door to new attacks exploiting the underlying structure. In this…

Cryptography and Security · Computer Science 2011-11-17 Morgan Barbier , Barreto S. L. M. Paulo

Code-based cryptography is an interesting alternative to classic number-theory PKC since it is conjectured to be secure against quantum computer attacks. Many families of codes have been proposed for these cryptosystems, one of the main…

Information Theory · Computer Science 2012-05-17 Irene Márquez-Corbella , Ruud Pellikaan

In 1998 [8], Patarin proposed an efficient cryptosystem called Little Dragon which was a variant a variant of Matsumoto Imai cryptosystem C*. However Patarin latter found that Little Dragon cryptosystem is not secure [8], [3]. In this paper…

Cryptography and Security · Computer Science 2010-07-15 Rajesh P Singh , Anupam Saikia , B. K. Sarma

This thesis aims to use intelligent systems to extend and improve performance and security of cryptographic techniques. Genetic algorithms framework for cryptanalysis problem is addressed. A novel extension to the differential cryptanalysis…

Neural and Evolutionary Computing · Computer Science 2014-01-16 Ayman M. Bahaa-Eldin

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