# 📐  L2 Spec — Antenna Analysis — radiation pattern inversion Mismatch-Only Spec

**ID:** `L2-236-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-236`](/artifact/l1/L1-236)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553991

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| N phi | — | 36 – 3600 |
| Snr db | dB | 0 – 40 |
| N theta | — | 36 – 3600 |
| Freq ghz | GHz | 0.1 – 300 |
| Pos error | — | 0.0 – 0.05 |
| N elements | — | 1 – 4096 |
| Phase error | — | 0.0 – 0.2 |
| Amplitude error | — | 0.0 – 0.2 |
| Mutual coupling error | — | 0.0 – 0.3 |

## 2. Tolerance (ε)

**Type:** `fn`

```
20.0 + 1.0*log2(N_elements/1) + 0.25*SNR_dB - 15.0*phase_error - 10.0*amplitude_error
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`d6f41febce8f0735f279142d90e763a9afb68bf3519a738c7f013b0832e1c794`

## 5. On-chain Registration

- **Chain hash:** `0x8ba8bbd3385404bf3e8c332da5a097817cb578cb353d9c40b81f4fd069d005b5`
- **Chain tx hash:** `0x7b51a7f9a971bdadea01d8406d921a9425e821229bc4549e3554c10542ac3d17`
- **Chain block:** `41553991`

---

## File Mapping

This bundle consists of: `L2-236-001.md`, `L2-236-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-236-001.md` | Source of truth — edit this | Human or LLM |
| `L2-236-001.json` | Structured metadata for the registry | LLM regenerates from the sections above |

**Prompt for your LLM after editing this Markdown:**

> Read the attached Markdown. Regenerate the sibling `.json` so every field matches.
> Preserve the schema documented in the rows above.
> Output each file in its own fenced code block tagged with the filename.
> Output only the JSON object.

_This Markdown was auto-synthesized from the catalog row for `L2-236-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._