MinT - Information on Result #1129545

Information on Result #1129545

Linear OOA(2²⁵⁹, 79, F₂, 5, 102) (dual of [(79, 5), 136, 103]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰³, 37, F₂, 5, 51) (dual of [(37, 5), 82, 52]-NRT-code), using
- constructionÂ X applied to AG(5;F,108P) âŠ‚ AG(5;F,121P) [i] based on
  1. linear OOA(2⁹⁰, 32, F₂, 5, 51) (dual of [(32, 5), 70, 52]-NRT-code), using algebraic-geometric NRT-code AG(5;F,108P) [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(2⁷⁷, 32, F₂, 5, 38) (dual of [(32, 5), 83, 39]-NRT-code), using algebraic-geometric NRT-code AG(5;F,121P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(2¹³, 5, F₂, 5, 12) (dual of [(5, 5), 12, 13]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,12P) [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(2¹⁵⁶, 42, F₂, 5, 102) (dual of [(42, 5), 54, 103]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,107P) [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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