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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

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

This paper studies a variant of the McEliece cryptosystem able to ensure that the code used as the public key is no longer permutation-equivalent to the secret code. This increases the security level of the public key, thus opening the way…

Information Theory · Computer Science 2014-05-21 Marco Baldi , Marco Bianchi , Franco Chiaraluce , Joachim Rosenthal , Davide Schipani

Cryptographic approaches, such as secure multiparty computation, can be used to compute in a secure manner the function of a distributed graph without centralizing the data of each participant. However, the output of the protocol itself can…

Cryptography and Security · Computer Science 2024-12-09 Sofiane Azogagh , Zelma Aubin Birba , Josée Desharnais , Sébastien Gambs , Marc-Olivier Killijian , Nadia Tawbi

Grover's search algorithm gives a quantum attack against block ciphers by searching for a key that matches a small number of plaintext-ciphertext pairs. This attack uses $O(\sqrt{N})$ calls to the cipher to search a key space of size $N$.…

Quantum Physics · Physics 2019-10-07 Samuel Jaques , Michael Naehrig , Martin Roetteler , Fernando Virdia

The McEliece scheme is a generic frame which allows to use any error correcting code of which there exists an efficient decoding algorithm to design an encryption scheme by hiding the generator matrix code. Similarly, the Niederreiter frame…

Cryptography and Security · Computer Science 2024-10-18 Nicolas Aragon , Alain Couvreur , Victor Dyseryn , Philippe Gaborit , Adrien Vinçotte

The basic properties of RSA cryptosystems and some classical attacks on them are described. Derived from geometric properties of the Euler functions, the Euler function rays, a new ansatz to attack RSA cryptosystems is presented. A…

Cryptography and Security · Computer Science 2009-09-29 Andreas de Vries

Correlation Power Analysis (CPA) is a type of power analysis based side channel attack that can be used to derive the secret key of encryption algorithms including DES (Data Encryption Standard) and AES (Advanced Encryption Standard). A…

Performance · Computer Science 2014-12-25 Hasindu Gamaarachchi , Roshan Ragel , Darshana Jayasinghe

Post-Quantum Cryptography (PQC) attempts to find cryptographic protocols resistant to attacks using Shor polynomial time algorithm for numerical field problems or Grover search algorithm. A mostly overlooked but valuable line of solutions…

Cryptography and Security · Computer Science 2019-04-23 P. Hecht

The classic forgery attacks on COPA, AES-COPA and Marble authenticated encryption algorithms need to query about 2^(n/2) times, and their success probability is not high. To solve this problem, the corresponding quantum forgery attacks on…

Quantum Physics · Physics 2024-05-14 Yinsong Xu , Wenjie Liu , Wenbin Yu

When deploying wireless sensor networks (WSNs) in public environments it may become necessary to secure their data storage and transmission against possible attacks such as node-compromise and eavesdropping. The nodes feature only small…

Cryptography and Security · Computer Science 2009-03-24 Osman Ugus , Dirk Westhoff , Ralf Laue , Abdulhadi Shoufan , Sorin A. Huss

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

Side-channel analysis attacks, especially horizontal DPA and DEMA attacks, are significant threats for cryptographic designs. In this paper we investigate to which extend different multiplication formulae and randomization of the field…

Cryptography and Security · Computer Science 2022-01-10 Ievgen Kabin , Zoya Dyka , Dan Kreiser , Peter Langendoerfer

We investigate algorithms for encoding of one-point algebraic geometry (AG) codes over certain plane curves called $C_{ab}$ curves, as well as algorithms for inverting the encoding map, which we call "unencoding". Some $C_{ab}$ curves have…

Algebraic Geometry · Mathematics 2020-08-19 Peter Beelen , Johan Rosenkilde , Grigory Solomatov

Computationally hard problems based on coding theory, such as the syndrome decoding problem, have been used for constructing secure cryptographic schemes for a long time. Schemes based on these problems are also assumed to be secure against…

Cryptography and Security · Computer Science 2024-09-12 Puja Mondal , Supriya Adhikary , Suparna Kundu , Angshuman Karmakar

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

In this paper, we will present how to find keys elliptic curve cryptosystems (ECC) with simple tools of Delphi 7 console application, using the software problem solving of the scalar point multiplication in the field GF(p), where p is an…

Cryptography and Security · Computer Science 2013-09-03 Dragan Vidakovic , Dusko Parezanovic

Encoding quantum information in a quantum error correction (QEC) code enhances protection against errors. Imperfection of quantum devices due to decoherence effects will limit the fidelity of quantum gate operations. In particular, neutral…

Quantum Physics · Physics 2026-03-03 J. J. Postema , S. J. J. M. F. Kokkelmans

Post-Quantum cryptography is about to substitute current cryptographic schemes as being resilient in attacks from quantum computers. McEleiece and Bit Flip Key Encapsulation (BIKE) are two delight representatives based on coding theory…

Cryptography and Security · Computer Science 2026-05-19 Konstantinos Spalas

We present a new distinguisher for alternant and Goppa codes, whose complexity is subexponential in the error-correcting capability, hence better than that of generic decoding algorithms. Moreover it does not suffer from the strong regime…

Cryptography and Security · Computer Science 2025-10-17 Hugues Randriambololona