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Quantum low-density parity-check (QLDPC) codes have been proven to achieve higher minimum distances at higher code rates than surface codes. However, this family of codes imposes stringent latency requirements and poor performance under…

Information Theory · Computer Science 2024-06-26 Dimitris Chytas , Nithin Raveendran , Bane Vasić

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

Joint encryption-encoding schemes have been released to fulfill both reliability and security desires in a single step. Using Low Density Parity Check (LDPC) codes in joint encryption-encoding schemes, as an alternative to classical linear…

Information Theory · Computer Science 2019-02-22 Hossein Khayami , Taraneh Eghlidos , Mohammad Reza Aref

Two variations of the McEliece cryptosystem are presented. The first one is based on a relaxation of the column permutation in the classical McEliece scrambling process. This is done in such a way that the Hamming weight of the error, added…

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

We consider the decoding problem or the problem of finding low weight codewords for rank metric codes. We show how additional information about the codeword we want to find under the form of certain linear combinations of the entries of the…

Cryptography and Security · Computer Science 2015-04-22 Adrien Hauteville , Jean-Pierre Tillich

Due to the weakness of public key cryptosystems encounter of quantum computers, the need to provide a solution was emerged. The McEliece cryptosystem and its security equivalent, the Niederreiter cryptosystem, which are based on Goppa…

Cryptography and Security · Computer Science 2023-10-11 Arash Khalvan , Amirhossein Zali , Mahmoud Ahmadian Attari

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

The medium-density parity-check (MDPC) code-based Bit Flipping Key Encapsulation (BIKE) mechanism remains a candidate of post-quantum cryptography standardization. The latest version utilizes a new bit-flipping (BF) decoding algorithm,…

Cryptography and Security · Computer Science 2024-12-17 Jiaxuan Cai , Xinmiao Zhang

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

This paper presents a novel post-quantum cryptosystem based on high-memory masked convolutional codes. Unlike conventional code-based schemes that rely on block codes with fixed dimensions and limited error-correction capability, our…

Cryptography and Security · Computer Science 2025-10-20 Meir Ariel

This paper presents an approach for side channel cryptanalysis with iterative approximate Bayesian inference, based on sequential decoding methods. Reliability information about subkey hypotheses is generated in the form of likelihoods, and…

Cryptography and Security · Computer Science 2015-03-20 Andreas Ibing

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

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

In this paper we study the security of the key of compact McEliece schemes based on alternant/Goppa codes with a non-trivial permutation group, in particular quasi-cyclic alternant codes. We show that it is possible to reduce the…

Information Theory · Computer Science 2018-03-15 Elise Barelli

We propose a cipher similar to the One Time Pad and McEliece cipher based on a subband coding scheme. The encoding process is an approximation to the One Time Pad encryption scheme. We present results of numerical experiments which suggest…

Cryptography and Security · Computer Science 2007-05-23 Ryan Harkins , Eric Weber , Andrew Westmeyer

The McEliece public-key encryption scheme has become an interesting alternative to cryptosystems based on number-theoretical problems. Differently from RSA and ElGa- mal, McEliece PKC is not known to be broken by a quantum computer.…

Cryptography and Security · Computer Science 2012-06-04 Nico Döttling , Rafael Dowsley , Jörn Müller-Quade , Anderson C. A. Nascimento

With increasing advancements in technology, it is expected that the emergence of a quantum computer will potentially break many of the public-key cryptosystems currently in use. It will negotiate the confidentiality and integrity of…

Cryptography and Security · Computer Science 2018-11-16 Amandeep Singh Bhatia , Ajay Kumar

Measurement-device-independent quantum key distribution (MDI-QKD) closes all the security loopholes in the detection system and is a promising solution for secret key sharing. Polarization encoding is the most common QKD encoding scheme, as…

Quantum Physics · Physics 2024-08-14 Olinka Bedroya , Chenyang Li , Wenyuan Wang , Jianyong Hu , Hoi-Kwong Lo , Li Qian

In this paper we present a new class of convolutional codes that admits an efficient al- gebraic decoding algorithm. We study some of its properties and show that it can decode interesting sequences of errors patterns. The second part of…

Information Theory · Computer Science 2018-04-25 P. Almeida , D. Napp