eAES_post-quantum_math_analysis

A mathematical analysis of the symmetric cryptographic algorithm eAES

This repository contains two versions of the published paper Towards Post-Quantum Secure Symmetric Cryptography: A Mathematical Perspective. It is mathematical analysis of the symmetric cryptographic algorithm eAES wrt. post-quantum security and security against known classical attacks.

Content

A mathematical analysis of the symmetric cryptographic algorithm eAES
Algorithm Designers
Algorithm Analysis
Published Versions
- Computeralgebra Rundbrief October 2019
- ISO paper
Analysis Results

Algorithm Designers

Stiepan Aurélien Kovac (CEO QRCrypto SA)
John Gregory Underhill (CEX Crypto Library)

Algorithm Analysis

Xenia Bogomolec (Fachreferentin Industrie Computeralgebra)

Published Versions

Computeralgebra Rundbrief October 2019

What is Computeralgebra?

Computeralgebra is the scientific area which concerns itself with non-numerical mathematical algorithms and their implementations. Therefore it is the means which materializes mathematical theory into applicable algorithms and programs. Cryptography is just one of other many topics which is handled by Computeralgebra researchers.

Computeralgebra Professionals Group Germany

(Fachgruppe Computeralgebra) The Computeralgebra Professionals Group Germany is a group of the GI (Gesellschaft für Informatik). Furthermore it is associated to the DMV (Deutsche Mathematikervereinigung).

CAR Article

The CAR version of the analysis contains an explanatory introduction to the IT-Security and standardization context for the mathematical audience: CAR article (Computeralgebra Rundbrief October 2019).

ISO paper

The paper for the ISO standardization process of eAES: ISO paper.

Analysis Results

You can read the results of the analysis wrt. the quantum attack Grover's Search in both published versions. The analysis wrt.the Quantum Algebraic Attack is still ongoing. It is performed by:

... and supported by

Prof. Dr. Siegfried Rump (Head of the Institute for for Reliable Computing, TU Harburg)
Christoph Stockhammer, MathWorks

Intermediary results of the ongoing research are regularly published on (https://github.com/XeniaGabriela/QAA_Condition_Nr/blob/master/official_paper/QAA_on_AES_paper.pdf)

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