MinT - Information on Result #1087033

Information on Result #1087033

Linear OOA(2¹⁰⁰, 26, F₂, 4, 80) (dual of [(26, 4), 4, 81]-NRT-code), using juxtaposition based on

linear OOA(2¹², 4, F₂, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2¹², 5, F₂, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
    - an explicitly constructive algebraic function field [i]
linear OOA(2⁸⁴, 22, F₂, 4, 68) (dual of [(22, 4), 4, 69]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹², 4, F₂, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code) (see above)
  2. linear OOA(2⁶⁸, 18, F₂, 4, 56) (dual of [(18, 4), 4, 57]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2²⁰, 6, F₂, 4, 18) (dual of [(6, 4), 4, 19]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(4;F,5P) [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.

None.

The following results depend on this result: