SHA-256 Round and Structure

The “Forbidden” Decomposition of a Hash Function


Ah, yes—this is exactly why cryptography never gets old.

Let’s move closer to the so-called imprint within SHA-256.
To do that, we have to step into something… forbidden:

decomposition.


Can a Hash Function Even Be Decomposed?

At first glance, it sounds absurd.

But the reality is more nuanced.

Some cryptographic constructions are far more amenable to structural analysis than others — especially when they are built from independent components combined together.

And that brings us to SHA-256.

It adopts a Merkle–Damgård-style construction — which, in practice, means chaining together repeated, structured operations.

Those operations are the Rounds.

The same round function is invoked sequentially and the final hash output is the result of this chained execution.

From one perspective, each invocation retains a degree of independence.


Why This Matters

Interestingly, this kind of structure has already been targeted in academic work.

One approach involves modifying the initial vector (IV) — the starting point from which the rounds propagate their transformations.

By choosing an IV that is more favorable for quantum computation analysis becomes significantly more tractable.

And here’s the key:
Changing the IV does not alter the fundamental structure of SHA-256.
Of course, the output hash changes — but the algorithm itself remains intact.

So the strategy becomes:

  1. Use an alternative IV that is easier to work with.
  2. Search for collisions under that modified configuration.
  3. Once a collision is found, isolate the difference between the original IV and the modified IV.
  4. Apply that differential incrementally to reconstruct the equivalent outcome under the standard SHA-256 IV.

This staged approach effectively decomposes the problem — and that is precisely what makes it more vulnerable to quantum-style attacks.


A Familiar Pattern

We’ve seen echoes of this before.

While the methodology differed, the discovery of collisions in SHA-1 (2017) — also relied on exploiting structured differentials.

The underlying issue is consistent:
When computation can be partitioned, it becomes more manageable — especially under constrained quantum resources.

And in cryptographic terms, that is a disadvantage.

That’s the tradeoff inherent in Merkle–Damgård constructions.


The Reality Check

Even so, meaningful attacks still require substantial quantum resources.
Which is why the pace of recent developments remains surprising.

Once a replacement hash function is selected, migrating blockchain systems at the hash layer is not the most difficult part.

The real question is:
What do we trust next?

SHA-3 is an obvious candidate. But can we continue to place blind trust in NIST-standard primitives?

What happens if similar concerns emerge again — this time with SHA-3?

That’s a risk many would rather avoid.


A Glimpse Inside the Machine

When the structure is treated as separable, experimentation becomes possible.

For instance, initializing the IV to 0x00 and observing the output can reveal surprisingly rich behavior.

What begins to surface is the internal dynamic of the rounds themselves — the way information is diffused and mixed at each step.

And once you see that … You begin to understand just how much is happening beneath the surface.

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SORA: Blockchain / SS256: Satoshi is SHA-256
SORA: Blockchain / SS256: Satoshi is SHA-256

Through cryptanalysis of SHA-256, we discovered that a message was embedded within it. As a result of the decoding, it became clear that the one who inscribed this message into SHA-256 was "Satoshi Nakamoto".


SORA Satoshi is SHA256 project
SORA Satoshi is SHA256 project

While developing the quantum-resistant blockchain SORA, we discovered through quantum computation an extremely regular signal hidden in SHA-256. The outputs were strikingly beautiful, and when aligned like stacked layers, they formed elegant geometric patterns. We felt it at once - this was the message left by Satoshi Nakamoto. After all, it was SHA-256.

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