MinT - Information on Result #2916292

Information on Result #2916292

Linear OOA(2²⁵³, 43, F₂, 6, 213) (dual of [(43, 6), 5, 214]-NRT-code), using strength reduction based on linear OOA(2²⁵³, 43, F₂, 6, 214) (dual of [(43, 6), 5, 215]-NRT-code), using

juxtaposition [i] based on
1. 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]
2. linear OOA(2²²³, 38, F₂, 6, 189) (dual of [(38, 6), 5, 190]-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(2¹⁹³, 33, F₂, 6, 164) (dual of [(33, 6), 5, 165]-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(2¹⁶³, 28, F₂, 6, 139) (dual of [(28, 6), 5, 140]-NRT-code), using
        repeating each code word 4 times [i] based on linear OOA(2³⁷, 7, F₂, 6, 34) (dual of [(7, 6), 5, 35]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(6;F,7P) [i] based on function field F/F₂ with g(F) = 3 and N(F) ≥ 7, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

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

Other Results with Identical Parameters

None.

Depending Results

None.