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Algorithm / cipher family tested Result
Caesar cipher modulo 29 — all 29 shifts
Atbash modulo 29 — x → 28-x
Affine substitution modulo 29 — all invertible multipliers and offsets
Vigenère-like periodicity analysis modulo 29 — periods up to 100
Vigenère modulo 29 — periods 1–16, coordinate-ascent search
Beaufort modulo 29 — periods 1–16, coordinate-ascent search
Variant Beaufort modulo 29 — periods 1–16, coordinate-ascent search
Gronsfeld cipher — periods 1–16
First-order affine recurrence modulo 29
Second-order linear recurrence modulo 29
Arithmetic keystream — K[i] = a·i + b mod 29
Quadratic keystream — K[i] = a·i² + b·i + c mod 29, 20,000 candidates
Linear congruential generator keystream modulo 29 — 48,000+ candidates
Fibonacci running key modulo 29
Prime-number running key modulo 29
Euler-totient running key modulo 29
Square-number running key modulo 29
Triangular-number running key modulo 29
Linear-position running key modulo 29
Quadratic-position running key modulo 29
Mathematical running keys reset at each word
Running keys derived from already solved Liber Primus pages
Ciphertext autokey modulo 29 — periods 1–16
Ciphertext autokey modulo 29 — seed lengths 1–6
Plaintext autokey modulo 29 — periods up to 16, beam size 500
Plaintext autokey modulo 29 — seed lengths 1–6, beam size 100
Recursive linear autokey modulo 29 — 1,000 completed candidates
Full-text reversal
Per-word reversal
Word-order reversal
Rail Fence transposition — tested rail counts
Columnar transposition — widths up to 20, natural and reversed column order
Fixed-size block reversal
Canonical small-block permutations
Constant XOR masks — masks 0–31 followed by modulo 29
Page-dependent modular shifts — K = page·a + seed mod 29
Playfair-like fractionation on a shifted 6×5 grid
Bifid-like fractionation on a shifted 6×5 grid — periods up to 20
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