MinT - Information on Result #661587

Information on Result #661587

Linear OA(8⁹², 101, F₈, 66) (dual of [101, 9, 67]-code), using juxtaposition based on

linear OA(8²⁷, 36, F₈, 19) (dual of [36, 9, 20]-code), using
- constructionÂ X applied to AG(F,13P) âŠ‚ AG(F,15P) [i] based on
  1. linear OA(8²⁶, 33, F₈, 19) (dual of [33, 7, 20]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F₈ with g(F) = 7 and N(F) ≥ 34, using
    - a function field by SÃ©mirat [i]
  2. linear OA(8²⁴, 33, F₈, 17) (dual of [33, 9, 18]-code), using algebraic-geometric code AG(F,15P) [i] based on function field F/F₈ with g(F) = 7 and N(F) ≥ 34 (see above)
  3. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]
linear OA(8⁵⁶, 65, F₈, 46) (dual of [65, 9, 47]-code), using
- the BCH-code C(I) with length 65Â | 8⁴âˆ’1, defining interval IÂ =Â {5,12,19,…,−5}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 47 [i]

Mode: Constructive and linear.

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