MinT - Information on Result #1122158

Information on Result #1122158

Linear OOA(2²⁵⁸, 57, F₂, 5, 159) (dual of [(57, 5), 27, 160]-NRT-code), using constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,66P) 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(2¹³², 32, F₂, 5, 93) (dual of [(32, 5), 28, 94]-NRT-code), using algebraic-geometric NRT-code AG(5;F,66P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
linear OOA(2⁹⁹, 25, F₂, 5, 65) (dual of [(25, 5), 26, 66]-NRT-code), using
- constructionÂ X applied to AG(5;F,34P) âŠ‚ AG(5;F,47P) [i] based on
  1. linear OOA(2⁸⁶, 20, F₂, 5, 65) (dual of [(20, 5), 14, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,34P) [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(2⁷³, 20, F₂, 5, 52) (dual of [(20, 5), 27, 53]-NRT-code), using algebraic-geometric NRT-code AG(5;F,47P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21 (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]

Mode: Constructive and linear.

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