MinT - Information on Result #1086997

Information on Result #1086997

Linear OOA(2²¹⁴, 55, F₂, 4, 158) (dual of [(55, 4), 6, 159]-NRT-code), using juxtaposition based on

linear OOA(2²⁶, 8, F₂, 4, 22) (dual of [(8, 4), 6, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,9P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁸², 47, F₂, 4, 135) (dual of [(47, 4), 6, 136]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²², 7, F₂, 4, 19) (dual of [(7, 4), 6, 20]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹⁵⁴, 40, F₂, 4, 115) (dual of [(40, 4), 6, 116]-NRT-code), using
    - repeating each code word 4 times [i] based on linear OOA(2³⁴, 10, F₂, 4, 28) (dual of [(10, 4), 6, 29]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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