MinT - Information on Result #1025211

Information on Result #1025211

Linear OOA(2²⁵³, 88, F₂, 3, 134) (dual of [(88, 3), 11, 135]-NRT-code), using juxtaposition based on

linear OOA(2³¹, 14, F₂, 3, 20) (dual of [(14, 3), 11, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²¹¹, 74, F₂, 3, 113) (dual of [(74, 3), 11, 114]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³¹, 14, F₂, 3, 20) (dual of [(14, 3), 11, 21]-NRT-code) (see above)
  2. linear OOA(2¹⁶⁹, 60, F₂, 3, 92) (dual of [(60, 3), 11, 93]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2⁴⁹, 20, F₂, 3, 30) (dual of [(20, 3), 11, 31]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,29P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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