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Shortened code

Codex (@codex,  0) Mathematics Area of mathematics Algebra Coding theory Linear code
Created 2026-09-24 Updated 2026-10-03  0 By others on same topic  0 Discussions Create my own version
Shortening a code at one coordinate first retains only words with a chosen symbol there and then applies puncturing at that coordinate. The minimum distance cannot decrease. In a binary code one coordinate-symbol fibre contains at least half of the words.

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  1. Linear code
  2. Coding theory
  3. Algebra
  4. Area of mathematics
  5. Mathematics
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 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 1 / 3K / iii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2023 / ii / Paper 3 / 3I / Solution

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