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This research aims to develop a one-way function for post-quantum cryptography using Fisher Spectral Recovery.

April 3, 2026Open Access

Post-Quantum Cryptography from Fisher Spectral Recovery

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Fisher Spectral Recovery achieves IND-CCA2 in QROM, indicating strong resistance to quantum attacks.

This research aims to develop a one-way function for post-quantum cryptography using Fisher Spectral Recovery.
Introduced Fisher Spectral Recovery (FSR) as a cryptographic function.
Proved exponential ill-conditioning and Fisher rank collapse.
Demonstrated FSR combined with LWE achieves IND-CCA2 in QROM.
FSR shows exponential ill-conditioning with κ ≥ 10^247 at N=256.
Hybrid FSR+LWE is 2.5× faster than Kyber.
FSR generates ciphertexts 12× smaller than traditional methods.
FSR is provably resistant to Shor-type quantum attacks.

Anthony W. Eckert (2026) studied this question.

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April 3, 2026Open Access

View Full Paper

Ask AI

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Authors

Fisher Spectral Recovery achieves IND-CCA2 in QROM, indicating strong resistance to quantum attacks.

This research aims to develop a one-way function for post-quantum cryptography using Fisher Spectral Recovery.
Introduced Fisher Spectral Recovery (FSR) as a cryptographic function.
Proved exponential ill-conditioning and Fisher rank collapse.
Demonstrated FSR combined with LWE achieves IND-CCA2 in QROM.
FSR shows exponential ill-conditioning with κ ≥ 10^247 at N=256.
Hybrid FSR+LWE is 2.5× faster than Kyber.
FSR generates ciphertexts 12× smaller than traditional methods.
FSR is provably resistant to Shor-type quantum attacks.

Anthony W. Eckert (2026) studied this question.

View Full Paper

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