MinT - Information on Result #1122174

Information on Result #1122174

Linear OOA(2²⁵⁴, 57, F₂, 5, 152) (dual of [(57, 5), 31, 153]-NRT-code), using constructionÂ X applied to AG(5;F,0P) âŠ‚ AG(5;F,69P) 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(2¹²⁹, 32, F₂, 5, 90) (dual of [(32, 5), 31, 91]-NRT-code), using algebraic-geometric NRT-code AG(5;F,69P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33 (see above)
linear OOA(2⁹⁵, 25, F₂, 5, 61) (dual of [(25, 5), 30, 62]-NRT-code), using
- constructionÂ X applied to AG(5;F,38P) âŠ‚ AG(5;F,51P) [i] based on
  1. linear OOA(2⁸², 20, F₂, 5, 61) (dual of [(20, 5), 18, 62]-NRT-code), using algebraic-geometric NRT-code AG(5;F,38P) [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(2⁶⁹, 20, F₂, 5, 48) (dual of [(20, 5), 31, 49]-NRT-code), using algebraic-geometric NRT-code AG(5;F,51P) [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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