Computing the minimum distance of nonbinary LDPC codes using block Korkin-Zolotarev method

نویسنده

  • Vasily Usatyuk
چکیده

In article present measure code distance algorithm of binary and ternary linear block code using block Korkin-Zolotarev (BKZ). Proved the upper bound on scaling constant for measure code distance of non-systematic linear block code using BKZ-method for different value of the block size. Introduced method show linear decrease of runtime from number of threads and work especially good under not dense lattices of LDPC-code. These properties allow use this algorithm to measure the minimal distance of code with length several thousand. The algorithm can further improve by transform into probabilistic algorithm using lattice enumerating pruning techniques

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عنوان ژورنال:
  • CoRR

دوره abs/1511.00125  شماره 

صفحات  -

تاریخ انتشار 2015