MinT - Information on Result #1123469

Information on Result #1123469

Linear OOA(2²⁴⁹, 67, F₂, 5, 112) (dual of [(67, 5), 86, 113]-NRT-code), using constructionÂ X applied to AG(5;F,92P) âŠ‚ AG(5;F,139P) based on

linear OOA(2¹⁶⁶, 41, F₂, 5, 112) (dual of [(41, 5), 39, 113]-NRT-code), using algebraic-geometric NRT-code AG(5;F,92P) [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(2¹¹⁹, 41, F₂, 5, 65) (dual of [(41, 5), 86, 66]-NRT-code), using algebraic-geometric NRT-code AG(5;F,139P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
linear OOA(2⁸³, 26, F₂, 5, 46) (dual of [(26, 5), 47, 47]-NRT-code), using
- constructionÂ X applied to AG(5;F,53P) âŠ‚ AG(5;F,68P) [i] based on
  1. linear OOA(2⁶⁷, 20, F₂, 5, 46) (dual of [(20, 5), 33, 47]-NRT-code), using algebraic-geometric NRT-code AG(5;F,53P) [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(2⁵², 20, F₂, 5, 31) (dual of [(20, 5), 48, 32]-NRT-code), using algebraic-geometric NRT-code AG(5;F,68P) [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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