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  • David Poulin, Jean-Pierre Tillich, Harold Ollivier
  • Computer Science, Physics, Mathematics
  • IEEE Transactions on Information Theory
  • 2009 (First Publication: 18 December 2007)
  • In this paper, we present a theory of quantum serial turbo codes, describe their iterative decoding algorithm, and study their performances numerically on a depolarization channel. Our constructionContinue Reading
  • Jean-Pierre Tillich, Gilles Zémor
  • Computer Science
  • 1994 (First Publication: 21 August 1994)
  • We propose a new family of hash functions based on computations over a finite field of characteristic 2. These functions can be computed quickly, detect small modifications of the input text, andContinue Reading
  • Jean-Pierre Tillich, Gilles Zémor
  • Mathematics, Computer Science, Physics
  • IEEE Transactions on Information Theory
  • 2009 (First Publication: 3 March 2009)
  • The current best asymptotic lower bound on the minimum distance of quantum LDPC codes with a fixed non-zero rate is logarithmic in the blocklength. We propose a construction of quantum LDPC codesContinue Reading