MinT - Information on Result #1086689

Information on Result #1086689

Linear OOA(2¹⁷⁷, 47, F₂, 4, 116) (dual of [(47, 4), 11, 117]-NRT-code), using juxtaposition based on

linear OOA(2⁴¹, 13, F₂, 4, 30) (dual of [(13, 4), 11, 31]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁴¹, 14, F₂, 4, 30) (dual of [(14, 4), 15, 31]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,25P) [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(2¹²⁵, 34, F₂, 4, 85) (dual of [(34, 4), 11, 86]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(2⁵⁷, 17, F₂, 4, 42) (dual of [(17, 4), 11, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,25P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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