MinT - Information on Result #2994677

Information on Result #2994677

Linear OOA(2¹⁸⁷, 23, F₂, 8, 168), using 25 step truncation based on 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), 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]
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.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.