MinT - Information on Result #1086819

Information on Result #1086819

Linear OOA(2²⁴⁷, 64, F₂, 4, 167) (dual of [(64, 4), 9, 168]-NRT-code), using juxtaposition based on

linear OOA(2³¹, 10, F₂, 4, 25) (dual of [(10, 4), 9, 26]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,14P) [i] based on function field F/F₂ with g(F) = 6 and N(F) ≥ 10, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2²⁰⁷, 54, F₂, 4, 141) (dual of [(54, 4), 9, 142]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³¹, 10, F₂, 4, 25) (dual of [(10, 4), 9, 26]-NRT-code) (see above)
  2. linear OOA(2¹⁶⁷, 44, F₂, 4, 115) (dual of [(44, 4), 9, 116]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2³¹, 10, F₂, 4, 25) (dual of [(10, 4), 9, 26]-NRT-code) (see above)
      2. linear OOA(2¹²⁷, 34, F₂, 4, 89) (dual of [(34, 4), 9, 90]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(2⁵⁹, 17, F₂, 4, 44) (dual of [(17, 4), 9, 45]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(4;F,23P) [i] based on function field F/F₂ with g(F) = 15 and N(F) ≥ 17, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

None.

None.