MinT - Information on Result #1177485

Information on Result #1177485

Linear OOA(2²⁵², 32, F₂, 8, 229) (dual of [(32, 8), 4, 230]-NRT-code), using juxtaposition based on

linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(8;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(2²¹², 27, F₂, 8, 193) (dual of [(27, 8), 4, 194]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code) (see above)
  2. linear OOA(2¹⁷², 22, F₂, 8, 157) (dual of [(22, 8), 4, 158]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code) (see above)
      2. linear OOA(2¹³², 17, F₂, 8, 121) (dual of [(17, 8), 4, 122]-NRT-code), using
        juxtaposition [i] based on
        linear OOA(2³⁶, 5, F₂, 8, 35) (dual of [(5, 8), 4, 36]-NRT-code) (see above)
        linear OOA(2⁹², 12, F₂, 8, 85) (dual of [(12, 8), 4, 86]-NRT-code), using
        repeating each code word 2 times [i] based on linear OOA(2⁴⁴, 6, F₂, 8, 42) (dual of [(6, 8), 4, 43]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(8;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: