MinT - Information on Result #1122204

Information on Result #1122204

Linear OOA(2²⁵¹, 58, F₂, 5, 138) (dual of [(58, 5), 39, 139]-NRT-code), using constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,77P) based on

linear OOA(2¹⁵⁹, 32, F₂, 5, 159) (dual of [(32, 5), 1, 160]-NRT-code), using algebraic-geometric NRT-code AG(5;F,0P) [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(2¹²¹, 32, F₂, 5, 82) (dual of [(32, 5), 39, 83]-NRT-code), using algebraic-geometric NRT-code AG(5;F,77P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
linear OOA(2⁹², 26, F₂, 5, 55) (dual of [(26, 5), 38, 56]-NRT-code), using
- constructionÂ X applied to AG(5;F,44P) âŠ‚ AG(5;F,59P) [i] based on
  1. linear OOA(2⁷⁶, 20, F₂, 5, 55) (dual of [(20, 5), 24, 56]-NRT-code), using algebraic-geometric NRT-code AG(5;F,44P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, using
    - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁶¹, 20, F₂, 5, 40) (dual of [(20, 5), 39, 41]-NRT-code), using algebraic-geometric NRT-code AG(5;F,59P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21 (see above)
  3. linear OOA(2¹⁶, 6, F₂, 5, 14) (dual of [(6, 5), 14, 15]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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