Structural impossibility proof (direct correspondence)
Homophonic substitution partition analysis — structural impossibility proof
In plain English: Homophonic substitution partition analysis — structural impossibility proof — using a method that replaces each letter with a fixed substitute (simple substitution). Mathematically proven impossible — no key or setting can make it work.
This approach is ruled out within the tested scope.
ELIMINATED
Tier 1
How to read this record
- Verdict – NOISE (no better than random guessing), INTERESTING (slightly above random, almost certainly coincidence), SIGNAL (statistically unusual, warrants investigation), or FULL MATCH (all 24 known letters correct).
- Confidence Tier – Tier 1 = mathematical proof (permanent). Tier 2 = every possibility tested. Tier 3 = partially tested. Tier 4 = not yet tested.
- Configs Tested – How many different key/parameter combinations were tried.
- Best Score – How many of the 24 known plaintext letters the best attempt matched (out of 24).
- Keystream Consistency (Bean) – Whether the key values at different positions are mathematically consistent with each other.
- Scope Limitations – What this elimination does not rule out.
- Configs Tested
- N/A
- Best Score
- 0 / 24 known letters matched · no better than random guessing (random guess would score: 0.0)
- Keystream Consistency (Bean)
-
FAIL
Checks whether the key values at different positions are mathematically consistent with each other. - Confidence
- Tier 1: Mathematical proof. Permanently valid unless cribs or CT are wrong.
- Truth Tag
[DERIVED FACT]- Date Tested
- 2026-02-27
- Script
scripts/substitution/e_cfm_04_homophonic_partition.py
Scope Limitations
This elimination does not rule out:
- Only eliminates DIRECT homophonic substitution (CT[i]→PT[i]). OPEN with transposition layer that changes positional mapping.
Assumptions
- Direct positional correspondence (no transposition)
Related Research Questions
Reproduce
PYTHONPATH=src python3 -u scripts/substitution/e_cfm_04_homophonic_partition.pyRequires the kryptos repo, Python 3.11+, PYTHONPATH=src.
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