MinT - Information on Result #1129430

Information on Result #1129430

Linear OOA(2²¹⁵, 78, F₂, 5, 75) (dual of [(78, 5), 175, 76]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁶, 36, F₂, 5, 37) (dual of [(36, 5), 94, 38]-NRT-code), using
- constructionÂ X applied to AG(5;F,122P) âŠ‚ AG(5;F,132P) [i] based on
  1. linear OOA(2⁷⁶, 32, F₂, 5, 37) (dual of [(32, 5), 84, 38]-NRT-code), using algebraic-geometric NRT-code AG(5;F,122P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
    - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶⁶, 32, F₂, 5, 27) (dual of [(32, 5), 94, 28]-NRT-code), using algebraic-geometric NRT-code AG(5;F,132P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(2¹⁰, 4, F₂, 5, 9) (dual of [(4, 5), 10, 10]-NRT-code), using
    - OOA stacking with additional row [i] based on linear OOA(2¹⁰, 5, F₂, 4, 9) (dual of [(5, 4), 10, 10]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,10P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]
linear OOA(2¹²⁹, 42, F₂, 5, 75) (dual of [(42, 5), 81, 76]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,134P) [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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