Code-Based Cryptography and HQC

base, high hat · 3:24

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Lyrics

[Verse 1]
In the quantum world they're breaking through
Classical crypto won't see us through
But hidden in math we've known so long
Error correction keeps us strong
Linear codes with structure tight
Hamming distance guides our sight
When bits flip wrong we can repair
Post-quantum safety waiting there

[Chorus]
HQC stands strong when quantum comes
Hamming Quasi-Cyclic runs
Syndrome decoding hard to break
Security that's no mistake
Code-based crypto holds the key
Error patterns set us free
When quantum computers rule the day
HQC will pave the way

[Verse 2]
Take your message wrap it clean
In a code that can't be seen
Generator matrix builds the wall
Random errors fool them all
Syndromes tell us where it's wrong
But finding them takes way too long
NP-hard the problem stays
Even in the quantum phase

[Chorus]
HQC stands strong when quantum comes
Hamming Quasi-Cyclic runs
Syndrome decoding hard to break
Security that's no mistake
Code-based crypto holds the key
Error patterns set us free
When quantum computers rule the day
HQC will pave the way

[Bridge]
Quasi-cyclic structure saves the space
Polynomial rings keep up the pace
Public key from generator code
Private key's the secret road
Decoding with the structure known
But outsiders left alone
Algebraic hardness proof
Quantum-safe cryptographic truth

[Verse 3]
Implementation needs finesse
Key sizes cause some distress
But speed and security align
In this post-quantum design
NIST evaluates the schemes
HQC fulfills our crypto dreams
From theory into practice now
Code-based systems show us how

[Final Chorus]
HQC stands strong when quantum comes
Hamming Quasi-Cyclic runs
Syndrome decoding hard to break
Security that's no mistake
Code-based crypto holds the key
Error patterns set us free
The future's here the path is clear
HQC conquers quantum fear

[Outro]
When the quantum storm arrives
Code-based cryptography survives
HQC lighting up the way
For our post-quantum day

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