Code-Based Cryptography and HQC

base, high hat

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Lyrics

[Verse 1]
When quantum computers arrive at our gate
Classical crypto will crumble to fate
But hidden in math lies a fortress so strong
Error-correcting codes singing their song
Hamming discovered the patterns that heal
Broken transmissions made perfectly real
Now cryptographers borrow this medical art
To keep secret messages safe from the start

[Chorus]
HQC stands guard with quasi-cyclic might
Syndrome decoding keeps hackers from sight
Parity matrices weaving their spell
Even quantum machines cannot break them well
Code-based crypto, our post-quantum shield
When other defenses are forced to yield

[Verse 2]
Take your plaintext and wrap it in noise
Random errors become your decoys
Only holders of secret generator keys
Can strip away chaos with elegant ease
The syndrome reveals just a glimpse of the flaw
Not enough data for hackers to draw
Conclusions about what the message contains
While polynomial structures forge unbreakable chains

[Chorus]
HQC stands guard with quasi-cyclic might
Syndrome decoding keeps hackers from sight
Parity matrices weaving their spell
Even quantum machines cannot break them well
Code-based crypto, our post-quantum shield
When other defenses are forced to yield

[Bridge]
Circular shifting makes storage compact
Structured yet random, that's HQC's pact
Decryption finds errors by Gaussian elimination
Encryption adds them through random mutation
The hardness assumption that keeps us secure
No algorithm can syndrome patterns endure

[Verse 3]
NIST evaluates candidates today
Searching for schemes that won't fade away
When Shor's algorithm breaks RSA's spine
Code-based systems will still hold the line
Implementation demands careful finesse
Key sizes large but performance's success
The quantum apocalypse looms ever near
But mathematics gives nothing to fear

[Chorus]
HQC stands guard with quasi-cyclic might
Syndrome decoding keeps hackers from sight
Parity matrices weaving their spell
Even quantum machines cannot break them well
Code-based crypto, our post-quantum shield
When other defenses are forced to yield

[Outro]
From Hamming's wisdom to HQC's grace
Error correction claims crypto's new space

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