MinT - Information on Result #1025010

Information on Result #1025010

Linear OOA(2¹⁵⁸, 59, F₂, 3, 69) (dual of [(59, 3), 19, 70]-NRT-code), using juxtaposition based on

linear OOA(2⁵⁹, 26, F₂, 3, 27) (dual of [(26, 3), 19, 28]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(2²¹, 12, F₂, 3, 13) (dual of [(12, 3), 15, 14]-NRT-code), using
    - extracting embedded OOA [i] based on digital (8, 21, 12)-net over F₂, using
      - linear code embedding found in a computer search [i]
  2. linear OOA(2³⁸, 14, F₂, 3, 27) (dual of [(14, 3), 4, 28]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(2⁸⁰, 33, F₂, 3, 41) (dual of [(33, 3), 19, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,57P) [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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