MinT - Information on Result #1087043

Information on Result #1087043

Linear OOA(2¹⁰⁴, 27, F₂, 4, 85) (dual of [(27, 4), 4, 86]-NRT-code), using juxtaposition based on

linear OOA(2¹⁶, 5, F₂, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,4P) [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, 69) (dual of [(22, 4), 4, 70]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2¹⁶, 5, F₂, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code) (see above)
  2. linear OOA(2⁶⁴, 17, F₂, 4, 53) (dual of [(17, 4), 4, 54]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2¹⁶, 5, F₂, 4, 15) (dual of [(5, 4), 4, 16]-NRT-code) (see above)
      2. linear OOA(2⁴⁴, 12, F₂, 4, 37) (dual of [(12, 4), 4, 38]-NRT-code), using
        repeating each code word 2 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: