Exhibit 28 of 172 1795 (Jefferson) · 1922 (M-94)

Jefferson Disk

Jefferson’s proposed wheel cipher and independently developed later cylinders

Brute force · Probable word attack

InventorThomas Jefferson (1795) · Independently: Bazeries (1891)
Year1795
Key TypePhysical disk arrangement (36 disks)
Broken ByBrute force · Probable word attack
Modern LessonCompare mechanical implementations of substitution

Why This Matters

Jefferson described a wheel cipher in the 1790s. Bazeries later developed a similar cylinder independently, and the American work of Parker Hitt and Joseph Mauborgne led to the M-94, adopted in the early 1920s. Reinvention demonstrates the appeal of the mechanism, not a proof of its security.

Historical Context

Jefferson’s manuscript describes the device but does not establish that he built or deployed it. Bazeries’s later cylinder and the Hitt–Mauborgne development should be identified separately rather than collapsing the whole M-94 invention into its adoption year. The Signal Corps historical account discusses the independent designs.

Jefferson proposed a cylinder with 36 alphabet disks. The later M-94 used 25 disks and enciphered 25-letter blocks; longer messages needed multiple blocks. Its Army and Navy service histories should not be reduced to a claim that one replacement date applied to every U.S. military branch.

How It Works
Device: N disks on a spindle, each with
scrambled alphabet around the edge

Encryption:
1. Set disks to spell out message
2. Read off any other row as ciphertext

Decryption:
1. Set disks to ciphertext
2. Look for a row that reads as English

M-94 specifications:
- 25 aluminum disks
- Each disk: alphabet in unique order
- Disk order = key (25! possible orders)
- Block length = 25 characters; longer messages use multiple blocks
↓ read this column H QZMB YREK E TAON SDLW L PWGX FUCI P CVBK AJFH S NDRF XIAO Rotate disks to spell HELPS → read any other row as ciphertext Disk order is the key · 25! ≈ 1.55 × 10²⁵ possible orders
Jefferson Disk: disks rotated to spell the message; any other row becomes the ciphertext
How It Was Broken
Probable Word Attack
Complexity: Moderate

With a fixed disk order and known alphabets, the receiver can inspect the 25 rows other than the ciphertext row. Recovering an unknown disk order is a separate task: probable plaintext, several messages and consistency across disk alphabets can constrain candidates. Language context helps assess a row but does not guarantee a unique answer.

What It Teaches Modern Cryptography
Concept from Jefferson DiskModern Evolution
Physical disk arrangement as keyKey as configuration: RSA uses related public and private parameters; AES accepts 128-, 192- or 256-bit keys
Multiple cipher rows per settingLanguage context can help select a candidate; this is not the birthday attack on hashes
Mechanical implementationHardware Security Modules (HSMs): crypto operations in dedicated hardware
Quick Facts
Exhibit28 of 172
Era1795 (Jefferson) · 1922 (M-94)
TrustBroken
InventorThomas Jefferson (1795) · Independently: Bazeries (1891)
Year1795
Key TypePhysical disk arrangement (36 proposed by Jefferson; 25 in M-94)
Broken ByBrute force · Probable word attack
Wheel-Cipher Lineage

Jefferson’s wheel (1790s), Bazeries’s independent cylinder and the later M-94 and M-138-A illustrate related alphabet-alignment mechanisms. Similarity does not establish direct transmission between every design.

Across these mechanisms, physical alphabet arrangements supply key material. Disk and strip procedures differ, so their exact operating rules must be specified.

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