In our increasingly digital lives, security depends on cryptography. Send a private message or pay a bill online, and you’re relying on algorithms designed to keep your data secret. Naturally, some people want to uncover those secrets—so researchers work to test the strength of these systems to make sure they won’t crumble at the hands of a clever attacker.
One important tool in this work is the LLL algorithm, named after the researchers who published it in 1982—Arjen Lenstra, Hendrik Lenstra Jr. and László Lovász. LLL, along with its many descendants, can break cryptographic schemes in some cases; studying how they
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