MinT - Information on Result #1146222

Information on Result #1146222

Linear OOA(2¹⁵², 26, F₂, 6, 132) (dual of [(26, 6), 4, 133]-NRT-code), using juxtaposition based on

linear OOA(2²⁰, 4, F₂, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2²⁰, 5, F₂, 6, 19) (dual of [(5, 6), 10, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(6;F,10P) [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(2¹²⁸, 22, F₂, 6, 112) (dual of [(22, 6), 4, 113]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁰, 4, F₂, 6, 19) (dual of [(4, 6), 4, 20]-NRT-code) (see above)
  2. linear OOA(2¹⁰⁴, 18, F₂, 6, 92) (dual of [(18, 6), 4, 93]-NRT-code), using
    - repeating each code word 3 times [i] based on linear OOA(2³², 6, F₂, 6, 30) (dual of [(6, 6), 4, 31]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(6;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: