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Reminder: the big picture
Kyber.CPAPKE: LPR encryption or “Noisy ElGamal”
s, e ← χ
sk = s, pk = t = As + e
r, e
1
, e
2
← χ
u ← A
T
r + e
1
v ← t
T
r + e
2
+ Enc(m)
c = (u, v )
m = Dec(v − s
T
u)
Kyber.CCAKEM: CCA-secure KEM via tweaked FO transform
• Use implicit rejection
• Hash public key into seed and shared key
• Hash ciphertext into shared key
• Use Keccak-based functions for all hashes and XOF
1
Reminder: the big picture
Kyber.CPAPKE: LPR encryption or “Noisy ElGamal”
s, e ← χ
sk = s, pk = t = As + e
r, e
1
, e
2
← χ
u ← A
T
r + e
1
v ← t
T
r + e
2
+ Enc(m)
c = (u, v )
m = Dec(v − s
T
u)
Kyber.CCAKEM: CCA-secure KEM via tweaked FO transform
• Use implicit rejection
• Hash public key into seed and shared key
• Hash ciphertext into shared key
• Use Keccak-based functions for all hashes and XOF
1
Reminder: Kyber in Round 1
• Use MLWE instead of LWE or RLWE
• Use R = Z
q
[X ]/(X
256
+ 1) with q = 7681
• Use centered binomial noise
• Generate A via XOF(ρ) (“NewHope style”)
• Compress ciphertexts (round off least-significant bits)
• Compress public keys
2
Reminder: Kyber in Round 1
• Use MLWE instead of LWE or RLWE
• Use R = Z
q
[X ]/(X
256
+ 1) with q = 7681
• Use centered binomial noise
• Generate A via XOF(ρ) (“NewHope style”)
• Compress ciphertexts (round off least-significant bits)
• Compress public keys
2
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