MinT - Information on Result #1086522

Information on Result #1086522

Linear OOA(2²¹⁰, 57, F₂, 4, 120) (dual of [(57, 4), 18, 121]-NRT-code), using juxtaposition based on

linear OOA(2⁵⁴, 18, F₂, 4, 35) (dual of [(18, 4), 18, 36]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁵⁴, 19, F₂, 4, 35) (dual of [(19, 4), 22, 36]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,40P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
    - an explicitly constructive algebraic function field [i]
linear OOA(2¹³⁸, 39, F₂, 4, 84) (dual of [(39, 4), 18, 85]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹³⁸, 41, F₂, 4, 84) (dual of [(41, 4), 26, 85]-NRT-code), using
  - algebraic-geometric NRT-code AG(4;F,79P) [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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