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50 Things That Made the Modern Economy

Public Key Cryptography

50 Things That Made the Modern Economy

BBC

Business

4.82.6K Ratings

🗓️ 11 March 2017

⏱️ 9 minutes

🧾️ Download transcript

Summary

Take a very large prime number – one that is not divisible by anything other than itself. Then take another. Multiply them together. That is simple enough, and it gives you a very, very large “semi-prime” number. That is a number that is divisible only by two prime numbers. Now challenge someone else to take that semi-prime number, and figure out which two prime numbers were multiplied together to produce it. That, it turns out, is exceptionally hard. Some mathematics are a lot easier to perform in one direction than another. Public key cryptography works by exploiting this difference. And without it we would not have the internet as we know it. Tim Harford tells the story of public key cryptography – and the battle between the geeks who developed it, and the government which tried to control it. (Photo: Encryption algorithms. Credit: Shutterstock)

Transcript

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0:00.0

50 Things That Made The Modern Economy with Tim Harford

0:16.4

Two graduate students stood silently next to a lectern listening as their professor presented

0:22.1

their work to a conference. This wasn't the dumb thing. Usually the students themselves

0:29.1

would get to bask in the glory and then wanted to, just a couple of days previously, but

0:34.6

their families talked them out of it. It wasn't worth the risk. A few weeks earlier, the

0:40.0

Stanford researchers had received an unsettling letter from a shadowy agency of the United

0:45.4

States government. If they publicly discussed their findings, the letter said, that would

0:51.0

be deemed legally equivalent to exporting nuclear arms to a hostile foreign power. What

0:59.4

was this information that US Spooks considered so dangerous? Were the students proposing

1:05.0

to read out the genetic code of smallpox or lift the lid on some shocking conspiracy involving

1:10.8

the president? No. They were planning to give the humdrum sounding international symposium

1:17.0

on information theory and update on their work on public key cryptography. The year was

1:24.7

1977. If the government agency had been successful in their attempts to silence academic cryptographers,

1:31.6

they might have prevented the internet as we know it. To be fair, that wasn't what they

1:37.5

had in mind. The worldwide web was years away and the agency's head Admiral Bobby Ray

1:43.2

Inman was genuinely puzzled about the academic's motives. In his experience, cryptography,

1:50.0

the study of sending secret messages was of practical use only for spies and criminals.

1:56.4

Three decades earlier, other brilliant academics had helped win the war by breaking the Enigma

2:01.5

Code, enabling the Allies to read secret German communications. Now, Stanford researchers

2:08.5

freely disseminating information that might help adversaries in future wars to encode

2:14.0

their messages in ways the US couldn't crack. To Admiral Inman, it seemed perverse.

2:21.6

His concern was reasonable. Throughout history, the development of cryptography has indeed

...

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