MinT - Information on Result #1025593

Information on Result #1025593

Linear OOA(2¹⁶⁵, 57, F₂, 3, 106) (dual of [(57, 3), 6, 107]-NRT-code), using juxtaposition based on

linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁷, 51, F₂, 3, 95) (dual of [(51, 3), 6, 96]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹², 6, F₂, 3, 10) (dual of [(6, 3), 6, 11]-NRT-code) (see above)
  2. linear OOA(2¹²⁹, 45, F₂, 3, 84) (dual of [(45, 3), 6, 85]-NRT-code), using
    - repeating each code word 5 times [i] based on linear OOA(2²¹, 9, F₂, 3, 16) (dual of [(9, 3), 6, 17]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

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