MinT - Information on Result #1025277

Information on Result #1025277

Linear OOA(2¹⁸², 64, F₂, 3, 99) (dual of [(64, 3), 10, 100]-NRT-code), using juxtaposition based on

linear OOA(2²⁶, 12, F₂, 3, 17) (dual of [(12, 3), 10, 18]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,18P) [i] based on function field F/F₂ with g(F) = 9 and N(F) ≥ 12, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁶, 52, F₂, 3, 81) (dual of [(52, 3), 10, 82]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁶, 12, F₂, 3, 17) (dual of [(12, 3), 10, 18]-NRT-code) (see above)
  2. linear OOA(2¹¹⁰, 40, F₂, 3, 63) (dual of [(40, 3), 10, 64]-NRT-code), using
    - repeating each code word 2 times [i] based on linear OOA(2⁵⁰, 20, F₂, 3, 31) (dual of [(20, 3), 10, 32]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,28P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.