MinT - Information on Result #1161585

Information on Result #1161585

Linear OOA(2²¹⁰, 31, F₂, 7, 178) (dual of [(31, 7), 7, 179]-NRT-code), using juxtaposition based on

linear OOA(2⁵⁶, 9, F₂, 7, 51) (dual of [(9, 7), 7, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(7;F,11P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁷, 22, F₂, 7, 126) (dual of [(22, 7), 7, 127]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2⁴⁹, 8, F₂, 7, 45) (dual of [(8, 7), 7, 46]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,10P) [i] based on function field F/F₂ with g(F) = 4 and N(F) ≥ 8, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(2⁹¹, 14, F₂, 7, 80) (dual of [(14, 7), 7, 81]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(7;F,17P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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None.