MinT - Information on Result #909697

Information on Result #909697

Linear OOA(4¹⁵⁶, 81, F₄, 2, 118) (dual of [(81, 2), 6, 119]-NRT-code), using juxtaposition based on

linear OOA(4⁴⁴, 25, F₄, 2, 34) (dual of [(25, 2), 6, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁴, 26, F₄, 2, 34) (dual of [(26, 2), 8, 35]-NRT-code), using
  - algebraic-geometric NRT-code AG(2;F,17P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, using
    - an explicitly constructive algebraic function field [i]
linear OOA(4¹⁰⁶, 56, F₄, 2, 83) (dual of [(56, 2), 6, 84]-NRT-code), using
- generalized (u,Â u+v)-construction [i] based on
  1. linear OOA(4²³, 14, F₄, 2, 20) (dual of [(14, 2), 5, 21]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,7P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4²⁷, 14, F₄, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
    - dual of repetition NRT-code with length 14 [i]
  3. linear OOA(4²⁸, 14, F₄, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
    - complete OOA / dual of NRT-code with only one code word [i]
  4. linear OOA(4²⁸, 14, F₄, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)

Mode: Constructive and linear.

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