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The objective is a tall order. The quantum-resistant cryptographic data needed to transparently publish TLS certificates is roughly 40 times bigger than the classical cryptographic material used today. A typical X.509 certificate chain used today comprises six elliptic curve signatures and two EC public keys, each of them only 64 bytes. This material can be cracked through the quantum-enabled Shor’s algorithm. The full chain is roughly 4 kilobytes. All this data must be transmitted when a browser connects to a site.
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