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Everything about Learning with errors

Mathematical problem in cryptography

In cryptography, learning with errors (LWE) is a mathematical problem that is widely used to create secure encryption algorithms. It is based on the idea of representing secret information as a set of equations with errors. In other words, LWE is a way to hide the value of a secret by introducing noise to it. In more technical terms, it refers to the computational problem of inferring a linear -ary function over a finite ring from given samples some of which may be erroneous. The LWE problem is conjectured to be hard to solve, and thus to be useful in cryptography. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Learning with errorsA 5-minute orientation
  2. Skim a recent paper: A Construction of Three Party Post Quantum Secure Authenticated Key Exchange Using Ring Learning With Errors and ECC CryptographyInfluential work since 2022
  3. Pick up a classic book: A New EarthThe most-reprinted book on the subject
  4. Read the landmark paper: Multiparty Homomorphic Encryption from Ring-Learning-with-ErrorsCited 127 times
  5. Go sideways: Ring learning with errors key exchangeA closely related topic
  6. Go sideways: Ring learning with errorsA closely related topic

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🏆 Landmark papers (most cited)

🆕 Influential since 2022

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