MinT - Information on Result #1025217

Information on Result #1025217

Linear OOA(2²¹⁷, 76, F₂, 3, 115) (dual of [(76, 3), 11, 116]-NRT-code), using juxtaposition based on

linear OOA(2³⁷, 16, F₂, 3, 22) (dual of [(16, 3), 11, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2³⁷, 17, F₂, 3, 22) (dual of [(17, 3), 14, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
    - an explicitly constructive algebraic function field [i]
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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