Coryoth writes: "From the September Notices of the AMS, The Uneasy Relationship Between Mathematics and Cryptography (PDF) by Neal Koblitz provides fascinating reading on the tension between pure mathematics and cryptography. While mathematics has always played some role in cryptography, since the 1970s far more sophisticated mathematics has played increasingly large role in cryptography research. The last couple of decades has seen a uneasy relationship develop between advanced mathematics and cryptography. Koblitz discusses this, along with his development of elliptic curve cryptography during that time. He also talks about some of the less welcome side effects, such as pure mathematicians contorting their research proposals to be "applicable" to "hot" fields of cryptography, and the attempt by cryptographers to co-opt the reliability of mathematical proof to give (rather weak, and often false) claims of "provably secure" cryptosystems."
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