MinT - Information on Result #1025026

Information on Result #1025026

Linear OOA(2¹⁵⁶, 58, F₂, 3, 69) (dual of [(58, 3), 18, 70]-NRT-code), using juxtaposition based on

linear OOA(2⁵⁷, 25, F₂, 3, 26) (dual of [(25, 3), 18, 27]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²⁰, 11, F₂, 3, 13) (dual of [(11, 3), 13, 14]-NRT-code), using
    - extracting embedded OOA [i] based on digital (7, 20, 11)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2³⁷, 14, F₂, 3, 26) (dual of [(14, 3), 5, 27]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,15P) [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(2⁸¹, 33, F₂, 3, 42) (dual of [(33, 3), 18, 43]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,56P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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