MinT - Information on Result #1129445

Information on Result #1129445

Linear OOA(2²²⁵, 79, F₂, 5, 80) (dual of [(79, 5), 170, 81]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁷⁹, 33, F₂, 5, 40) (dual of [(33, 5), 86, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,124P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁶, 46, F₂, 5, 80) (dual of [(46, 5), 84, 81]-NRT-code), using
- constructionÂ X applied to AG(5;F,21P) âŠ‚ AG(5;F,23P) [i] based on
  1. linear OOA(2¹³⁷, 42, F₂, 5, 83) (dual of [(42, 5), 73, 84]-NRT-code), using algebraic-geometric NRT-code AG(5;F,21P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using an explicitly constructive algebraic function field [i]
  2. linear OOA(2¹²⁵, 42, F₂, 5, 71) (dual of [(42, 5), 85, 72]-NRT-code), using algebraic-geometric NRT-code AG(5;F,23P) with degPÂ =Â 6 [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
  3. linear OOA(2⁹, 4, F₂, 5, 8) (dual of [(4, 5), 11, 9]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(2⁹, 5, F₂, 4, 8) (dual of [(5, 4), 11, 9]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,11P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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None.