Let us begin building a quantum-resistant hash function.

While defenses against Shor’s algorithm — namely PQC — are being discussed through proposals such as BIP-360, one major piece of quantum resistance is still missing, a quantum-resistant hash function.

Here, we focus on blockchain-specific resistance against Grover’s algorithm, gradually exploring how such a hash function could be developed.

Before anything else, we must ask a fundamental question, what does a quantum-resistant hash function actually achieve?

Without a clear objective, development has little meaning.

Effect #1: What It Changes for Blockchain Security

Today’s focus is this.

The possibility of theoretically rejecting the √N endpoint often associated with Grover’s algorithm.

You may recall that alternatives beyond √N were discussed earlier — and that is true.
However, we start with √N because it remains the core theoretical reference point.

Even if other models exist, √N still exists as a theoretical outcome.

Reaching full √N amplification would require FTQC and could be even more demanding than Shor’s algorithm.

Yet the key issue is simple, Even as theory, it exists.

Why Theory Alone Matters

When institutional investors evaluate cryptocurrency in a “quantum-era” framework, the practical timeline of hardware becomes secondary.

What matters is the existence of theoretical risk.

Last month, Jefferies even mentioned CRQC — a concept beyond FTQC.

This suggests that institutional frameworks may already be expanding toward CRQC-level assumptions.

Now consider the relationship between hash rate and market valuation.

Hashrate can be interpreted as a search problem — which naturally introduces Grover-style analysis.

If that interpretation shifts toward √N assumptions, the implications could be significant.

This is not merely technical; it directly affects how cryptocurrency value may be perceived.

Why √N Must Be Addressed

Even if purely theoretical, √N cannot simply be ignored.

From this perspective, it becomes a question tied to the long-term viability of blockchain systems themselves.

One Possible Direction

One solution is the development of quantum-resistant hash functions.

The goal is straightforward, to design structures that prevent quantum computers from efficiently constructing superposition states.

That is the core idea.