MinT - Information on Result #2845989

Information on Result #2845989

Linear OOA(2²²⁶, 47, F₂, 5, 162) (dual of [(47, 5), 9, 163]-NRT-code), using strength reduction based on linear OOA(2²²⁶, 47, F₂, 5, 168) (dual of [(47, 5), 9, 169]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2³⁶, 9, F₂, 5, 31) (dual of [(9, 5), 9, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁸¹, 38, F₂, 5, 136) (dual of [(38, 5), 9, 137]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2³⁶, 9, F₂, 5, 31) (dual of [(9, 5), 9, 32]-NRT-code) (see above)
    2. linear OOA(2¹³⁶, 29, F₂, 5, 104) (dual of [(29, 5), 9, 105]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(2³⁶, 9, F₂, 5, 31) (dual of [(9, 5), 9, 32]-NRT-code) (see above)
        linear OOA(2⁹¹, 20, F₂, 5, 72) (dual of [(20, 5), 9, 73]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,27P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.