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Post-quantum cryptography is no longer just a futuristic concept, but a necessity in the present day. Anyone who works in the field and ignores its principles and techniques could be left at a severe disadvantage. This course offers a comprehensive overview of post-quantum cryptography.

Day 1 explores quantum-based attacks, lattices, and their applications in schemes and key exchange. Day 2 delves into error-correcting codes, isogenies, and their security implications. Day 3 covers the MQ problem, various schemes, including oil and vinegar, rainbow, and their cryptanalysis.

Other candidates, such as hash-based signatures and MPC-in-the-head signatures, and side-channel attacks, are also discussed. Participants will gain a thorough understanding of post-quantum cryptography and its potential impact on modern cryptography.

High Level Overview of the class topics;

Introduction to post-quantum cryptography
Attacks on DLOG and factoring
Lattices and related algorithms
LWE and Regev's encryption scheme
NTRU and NTRUPrime
Codes and cryptosystems
Isogenies and elliptic curves
MQ problem and its variants
Other candidates for PQC
Side-channel attacks and countermeasures

General knowledge of cryptography.

You will;

Be able to evaluate the security of different cryptographic primitives
Be able to select suitable cryptographic algorithms for their specific use case and deployment scenario
Have practical experience implementing and using post-quantum cryptographic schemes
Understand the mathematical foundations of post-quantum cryptography
Be familiar with the state-of-the-art in post-quantum cryptography
Possess knowledge and skills to defend against side-channel and physical attacks on cryptographic implementations

Day 1

Intro

Attacks Against DLOG and Factoring

Shor's Algorithm
NIST Competition

Lattices

Definitions
SVP, CVP, BDD
Good and Bad Basis
Babai Nearest Plane Algorithm
GGH Schemes and Attack Against Digital Signature Scheme
LWE
Regev's Encryption Scheme
Key Exchange from LWE
Ring LWE
Module LWE and LWR
Frodo, Kyber, Saber
NTRU and NTRUPrime
SIS Problem, Hash Function, and Digital Signature from SIS
Falcon
Lyubashevskys's ID Scheme
Dilithium
IBE and FHE

Day 2

Codes

Error Correcting Codes in General
Goppa Codes, Decoding Algorithm
McEliece Cryptosystem, Cryptanalysis History
BIKE and HQC
Niederreiter Cryptosystem, Syndrome Decoding
Trapdoor One-Way Function
Digital Signature Scheme Wave
Rank Metric Codes and Cryptosystems

Isogenies

Crash Course on Isogenies and Elliptic Curves
CGL Hash Function and SIDH
Security of SIDH, SIKE
Group Actions, CSIDH, and Applications
SQISign (High-Level Discussion)

Day 3

MQ Problem
Discussion about Its Hardness
Linearization, Gröbner Basis (High-Level Discussion)
Benchmarking Systems
Imai-Matsumoto, Hidden Field Equations
Variants of HFE
Oil and Vinegar Scheme, Kipnis-Shamir Attack, UOV
Rainbow and Cryptanalysis Results for Both UOV and Rainbow
ID Scheme and GeMSS

Other Candidates

Hash-Based Signatures (SPHINCS+)
MPC-in-the-Head Signatures (Picnic)

Side-Channel Attacks

Basic Attacks
Countermeasures Against Physical and Implementation Attacks

Upcoming Trainings

Join our public courses in our South Africa facilities. Private class trainings will be organized at the location of your preference, according to your schedule.

Classroom / Virtual Classroom

02 June 2024