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In the end, everything comes down to hash development.
As boldly written in the whitepaper, developing a cryptographic hash function with quantum resistance requires a quantum computer. The reason is that with classical computers, it is impossible to verify the uniformity of hash outputs. This is where it differs from PQC. PQC achieves quantum resistance through mathematical structures… but hash functions rely on the avalanche effect, which is a different structure altogether.
Quantum resistance is essentially a “chicken or the egg” situation. We must begin by addressing this, and that is precisely the role of SATOSHI-IS-SHA256 (SS256).
