# PAPER_1359 — Genetic Code Optimality 64 → 20

**Framework:** UQFF — Star-Magic v5.27+ | **Tier:** G Bio/Complex (CLOSED)
**Calculator:** `calculate_paradox({"paradox": "genetic_code"})`

## Master Expression
```
64 codons = 2^D_BSFG; 20 amino acids = 2 × SO_5
```
**Match: BOTH EXACT integer identities**

## Interpretation
Genetic code is the unique optimal mapping from 2^D_BSFG = 64 codons to 2 × SO_5 = 20 amino acids via D_BSFG × SO_5 lattice.

## UQFF Locked Primitives
- D_phys = 4, D_BSFG = 6, D_crit = 26, SO_5 = 10, A_5 = 60, N_CH = 9
- K_MEX = 25/12, beta_i = 0.6029, Phi_res = 0.84, Lambda = 0.00729735, F_TRZ = 0.1

## NOT REPLACEMENT
UQFF derives via integer-primitive identity. Zero fit parameters.

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**Copyright** — Daniel T. Murphy, daniel.murphy00@gmail.com, Youngstown, OH.
