Module reed_solomon 

CCSDS Reed-Solomon (255,223) (CCSDS 131.0-B-5). CCSDS Reed-Solomon (255,223) Forward Error Correction

Implements RS(255,223) over GF(2^8) as specified in CCSDS 131.0-B-5 (TM Synchronization and Channel Coding).

Parameters

• Field polynomial: p(x) = x^8 + x^7 + x^2 + x + 1 (0x187)
• Primitive element α = 0x02 (the polynomial x)
• First consecutive root: α^112
• Code generator: g(x) = ∏(x - α^(112+i)) for i = 0..31
• 32 parity symbols per codeword
• Corrects up to 16 symbol errors per codeword

Interleaving

Supports interleaving depths I = 1..5 as per CCSDS spec. With interleaving depth I, the total codeblock is I×255 symbols and can correct up to I×16 symbol errors.

Structs

ReedSolomonDecoder

RS(255,223) decoder implementing FecDecoder.

ReedSolomonEncoder

RS(255,223) encoder implementing FecEncoder.

Enums

RsError

Errors from Reed-Solomon operations.

Constants

K

Number of data symbols per codeword.

N

Number of symbols in a full RS codeword.

PARITY

Number of parity symbols (2T where T=16).

T

Maximum correctable symbol errors per codeword.

Functions

decode

Decodes and corrects a 255-byte RS codeword in-place.

decode_interleaved

Decodes with interleaving depth I (1..=5).

encode

Encodes data (up to 223 bytes) into output (255 bytes).

encode_interleaved

Encodes with interleaving depth I (1..=5).