MinT - Information on Result #1129451

Information on Result #1129451

Linear OOA(2²²³, 77, F₂, 5, 82) (dual of [(77, 5), 162, 83]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2⁸⁷, 35, F₂, 5, 41) (dual of [(35, 5), 88, 42]-NRT-code), using
- constructionÂ X applied to AG(5;F,118P) âŠ‚ AG(5;F,126P) [i] based on
  1. linear OOA(2⁸⁰, 32, F₂, 5, 41) (dual of [(32, 5), 80, 42]-NRT-code), using algebraic-geometric NRT-code AG(5;F,118P) [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(2⁷², 32, F₂, 5, 33) (dual of [(32, 5), 88, 34]-NRT-code), using algebraic-geometric NRT-code AG(5;F,126P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(2⁷, 3, F₂, 5, 7) (dual of [(3, 5), 8, 8]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;8,2) [i]
linear OOA(2¹³⁶, 42, F₂, 5, 82) (dual of [(42, 5), 74, 83]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,127P) [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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