MinT - Information on Result #1123448

Information on Result #1123448

Linear OOA(2²⁵⁴, 66, F₂, 5, 121) (dual of [(66, 5), 76, 122]-NRT-code), using constructionÂ X applied to AG(5;F,83P) âŠ‚ AG(5;F,129P) based on

linear OOA(2¹⁷⁵, 41, F₂, 5, 121) (dual of [(41, 5), 30, 122]-NRT-code), using algebraic-geometric NRT-code AG(5;F,83P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
- an explicitly constructive algebraic function field [i]
linear OOA(2¹²⁹, 41, F₂, 5, 75) (dual of [(41, 5), 76, 76]-NRT-code), using algebraic-geometric NRT-code AG(5;F,129P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
linear OOA(2⁷⁹, 25, F₂, 5, 45) (dual of [(25, 5), 46, 46]-NRT-code), using
- constructionÂ X applied to AG(5;F,54P) âŠ‚ AG(5;F,67P) [i] based on
  1. linear OOA(2⁶⁶, 20, F₂, 5, 45) (dual of [(20, 5), 34, 46]-NRT-code), using algebraic-geometric NRT-code AG(5;F,54P) [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(2⁵³, 20, F₂, 5, 32) (dual of [(20, 5), 47, 33]-NRT-code), using algebraic-geometric NRT-code AG(5;F,67P) [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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