MinT - Information on Result #1146220

Information on Result #1146220

Linear OOA(2²⁵⁹, 44, F₂, 6, 219) (dual of [(44, 6), 5, 220]-NRT-code), using juxtaposition based on

linear OOA(2²⁵, 5, F₂, 6, 24) (dual of [(5, 6), 5, 25]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(6;F,5P) [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(2²²⁹, 39, F₂, 6, 194) (dual of [(39, 6), 5, 195]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²⁵, 5, F₂, 6, 24) (dual of [(5, 6), 5, 25]-NRT-code) (see above)
  2. linear OOA(2¹⁹⁹, 34, F₂, 6, 169) (dual of [(34, 6), 5, 170]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2²⁵, 5, F₂, 6, 24) (dual of [(5, 6), 5, 25]-NRT-code) (see above)
      2. linear OOA(2¹⁶⁹, 29, F₂, 6, 144) (dual of [(29, 6), 5, 145]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2²⁵, 5, F₂, 6, 24) (dual of [(5, 6), 5, 25]-NRT-code) (see above)
        linear OOA(2¹³⁹, 24, F₂, 6, 119) (dual of [(24, 6), 5, 120]-NRT-code), using
        repeating each code word 4 times [i] based on linear OOA(2³¹, 6, F₂, 6, 29) (dual of [(6, 6), 5, 30]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(6;F,6P) [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: