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Code-based Cryptography: Lecture Notes

open access: yesCoRR, 2023
These lecture notes have been written for courses given at École normale supérieure de Lyon and summer school 2022 in post-quantum cryptography that took place in the university of Budapest. Our objective is to give a general introduction to the foundations of code-based cryptography which is currently known to be secure even against quantum ...
openaire   +2 more sources

Post-Quantum Two-Party Adaptor Signature Based on Coding Theory

open access: yesCryptography, 2022
An adaptor signature can be viewed as a signature concealed with a secret value and, by design, any two of the trio yield the other. In a multiparty setting, an initial adaptor signature allows each party to create additional adaptor signatures without ...
Jean Belo Klamti, M. Anwar Hasan
doaj   +1 more source

Polynomial Structures in Code-Based Cryptography [PDF]

open access: yes, 2013
In this article we discus a probability problem applied in the code based cryptography. It is related to the shape of the polynomials with exactly t different roots. We will show that the structure is very dense and the probability that this type of polynomials has at least one coefficient equal to zero is extremelly low.
Vlad Dragoi   +3 more
openaire   +1 more source

Efficient One-Time Signatures from Quasi-Cyclic Codes: A Full Treatment

open access: yesCryptography, 2018
The design of a practical code-based signature scheme is an open problem in post-quantum cryptography. This paper is the full version of a work appeared at SIN’18 as a short paper, which introduced a simple and efficient one-time secure signature ...
Edoardo Persichetti
doaj   +1 more source

Code Based Cryptography and Steganography [PDF]

open access: yes, 2013
For a long time, coding theory was only concerned by message integrity (how to protect against errors a message sent via some noisely channel). Nowadays, coding theory plays an important role in the area of cryptography and steganography. The aim of this paper is to show how algebraic coding theory offers ways to define secure cryptographic primitives ...
openaire   +1 more source

A Summary of McEliece-Type Cryptosystems and their Security

open access: yesJournal of Mathematical Cryptology, 2007
In this paper we give an overview of some of the cryptographic applications which were derived from the proposal of R. J. McEliece to use error correcting codes for cryptographic purposes.
Engelbert D., Overbeck R., Schmidt A.
doaj   +1 more source

Development of digital signature algorithm based on the Niederriter crypto-code system

open access: yesСистеми обробки інформації, 2020
The development of computing resources in the post-quantum period calls into question the provision of the required level of stability of symmetric and asymmetric cryptography algorithms. The advent of a full-scale quantum computer based on the Shore and
О.С. Циганенко
doaj   +1 more source

Anti-Quantum Signcryption Scheme Based on Niederreiter Cryptosystem [PDF]

open access: yesJisuanji gongcheng, 2020
To address security issues of network communication in the post-quantum era,this paper studies the Niederreiter cryptosystem in code-based cryptography,and combines the double public key cryptographic scheme based on the improved Niederreiter scheme with
WANG Zhong, HAN Yiliang
doaj   +1 more source

DAGS: Key encapsulation using dyadic GS codes

open access: yesJournal of Mathematical Cryptology, 2018
Code-based cryptography is one of the main areas of interest for NIST’s Post-Quantum Cryptography Standardization call. In this paper, we introduce DAGS, a Key Encapsulation Mechanism (KEM) based on quasi-dyadic generalized Srivastava codes.
Banegas Gustavo   +12 more
doaj   +1 more source

Post-quantum Cryptography: Code-Based Signatures [PDF]

open access: yes, 2010
This survey provides a comparative overview of code-based signature schemes with respect to security and performance. Furthermore, we explicitly describe serveral code-based signature schemes with additional properties such as identity-based, threshold ring and blind signatures.
Pierre-Louis Cayrel, Mohammed Meziani
openaire   +2 more sources

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