FA-72264 / Error-correcting codes / Member archive

Burst capability ignores symbol boundary straddling · case 04

Quoted burst capability is too large by up to one symbol.

Member previewVariant 4 · 3 implementations · 8 checks per implementation

Case contract

Guaranteed burst correction of an RS(n, k) code with m-bit symbols interleaved to depth D. Each codeword corrects t = floor((n - k) / 2) symbol errors; D interleaved codewords correct any burst of at most (t*D - 1)*m + 1 bits (a burst that straddles symbol boundaries touches one extra symbol). t = 0 gives 0. Invalid parameters return None.

Why this case matters

Optical, DVB and storage link budgets quote the longest correctable burst for an interleaved RS code.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
regression [255, 253, 8, 1]	`[1, 8]`	`[1, 1]`	Failed

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