How Mathematicians Cracked the Zodiac Killer’s Cipher

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How Mathematicians Cracked the Zodiac Killer’s Cipher
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🔄From the archive: After 50+ years, a trio of codebreakers solves the puzzle and earns a nod from the FBI.

In the late 1960s, a serial killer self-identifying as “the Zodiac” killed at least five people in Northern California and claimed to have murdered more. In November 1969, the Zodiac Killer sent a card to thecontaining a 340-character secret message that for more than 50 years went unsolved by detectives, cryptography experts, amateur sleuths and curious others.

“This cipher has always had such a target on its back,” says Sam Blake, an applied mathematician at the University of Melbourne who worked with Oranchak. Although the codebreakers involved had each been working on the cipher for years, the successful joint effort began in 2018 when Oranchak delivered a talk about the cipher at the annual meeting of the American Cryptogram Association in Asheville, North Carolina. He posted the talk on YouTube where, predictably, it elicited hundreds of comments, many of which came from people who claimed they’d already solved it.

But one person stood out: Blake. He responded to Oranchak’s talk with mathematical ideas about how to approach a code that includes both homophonic substitution — in which one letter might be swapped for more than one symbol — and transposition — in which letters are reordered in a systematic way. Oranchak and Blake began corresponding and eventually generated hundreds of thousands of possible ways to read the code.

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