Conclusion
The longest-run test's block sizes and class boundaries are fixed constants: K+1 classes chosen depending on M, cases K=3/M=8, K=5/M=128, K=6/M=10000 embedded in the code, and §2.4.2's table setting minimum lengths n = 128, 6272, 750000 for M = 8, 128, 10^4 (SP 800-22 rev 1a §2.4/§3.4).
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undercutThe longest-run test's block sizes and class boundaries are fixed constants: K+1 classes chosen depending on M, cases K=3/M=8, K=5/M=128, K=6/M=10000 embedded in the code, and §2.4.2's table setting minimum lengths n = 128, 6272, 750000 for M = 8, 128, 10^4 (SP 800-22 rev 1a §2.4/§3.4).
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Where did the cutoffs come from? The minimum-length boundaries 128, 6272, 750,000, the block sizes 8, 128, 10^4, and the class-count choices (K = 3, 5, 6) are never derived or justified anywhere in §2.4 or §3.4 — the guide's author asks the same question verbatim: "Where did the magic numbers 128, 6272, and 750,000 come from?" (This challenge is authored by the present reconstruction's seeding; the enthymeme is the paper's.)
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