FA-72308 / Error-correcting codes / Member archive

RS framing transmits the zero padding · case 03

Bandwidth estimates count padding bytes that a shortened code never sends.

Member previewVariant 3 · 3 implementations · 8 checks per implementation

Case contract

Frame a payload of the given number of bytes into shortened RS(n, k) codewords: cw = ceil(payload / k) codewords, the last one carries payload - (cw - 1)*k data bytes (shortened, zero padding not transmitted), and each codeword adds n - k parity bytes. An empty payload uses no codewords. Return [cw, last data bytes, bytes sent]; invalid parameters return None.

Why this case matters

Link layers size FEC frames and transmit budgets from the payload length.

One recorded failure

Sample boundary fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression [22, 7, 4]	`[6, 2, 42]`	`[6, 2, 40]`	Failed

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