MinT - Information on Result #1025017

Information on Result #1025017

Linear OOA(2¹⁵⁹, 59, F₂, 3, 70) (dual of [(59, 3), 18, 71]-NRT-code), using juxtaposition based on

linear OOA(2³⁶, 18, F₂, 3, 18) (dual of [(18, 3), 18, 19]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(2³³, 17, F₂, 3, 18) (dual of [(17, 3), 18, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,32P) [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(2¹⁰⁵, 41, F₂, 3, 51) (dual of [(41, 3), 18, 52]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹⁰⁵, 42, F₂, 3, 51) (dual of [(42, 3), 21, 52]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,74P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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