🔷 5G NR Polar Code · TS 38.212

Fully compliant implementation · PDCCH / PBCH / PUCCH

✅ TS 38.212 Compliant: Proper CRC (gCRC24A/gCRC24C), distributed CRC interleaving, PC bit insertion, bit-reversal permutation, sub-block interleaving, and proper rate matching.

Channel type

Information bits (A)

CRC polynomial

N (mother code)

Rate matching

E (transmission bits)

A=24 · K=48 · N=128 · E=80 ≈ 90% compliant

✓ ready

CRC: gCRC24A

PC bits: 3

Frozen: 77

RM: puncturing

Input seed: 0x5A3C

① Fixed Input Information Block (A bits)

Payload bits generated deterministically from a seed. Same input → Same output every time.

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② CRC Attachment (K = A + L)

CRC polynomial: gCRC24A = 0x1864CFB. CRC bits highlighted.

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③ Interleaving + Bit Insertion → u

Distributed CRC interleaving (as per TS 38.212). PC bits inserted at specific positions.

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██ info ██ CRC (distributed) ██ PC ██ frozen

④ Polar Encoding (d = u · G_N)

Core polar transform with bit-reversal permutation as per TS 38.212.

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⑤ Rate Matching → e (E bits)

Sub-block interleaving + bit selection. Scheme: puncturing.

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██ selected bits