MinT - Information on Result #2846535

Information on Result #2846535

Linear OOA(2²³³, 49, F₂, 5, 164) (dual of [(49, 5), 12, 165]-NRT-code), using strength reduction based on linear OOA(2²³³, 49, F₂, 5, 168) (dual of [(49, 5), 12, 169]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(2⁵⁸, 14, F₂, 5, 47) (dual of [(14, 5), 12, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,22P) [i] based on function field F/F₂ with g(F) = 11 and N(F) ≥ 14, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁶³, 35, F₂, 5, 120) (dual of [(35, 5), 12, 121]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(2⁵⁸, 14, F₂, 5, 47) (dual of [(14, 5), 12, 48]-NRT-code) (see above)
    2. linear OOA(2⁹³, 21, F₂, 5, 72) (dual of [(21, 5), 12, 73]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,32P) [i] based on function field F/F₂ with g(F) = 21 and N(F) ≥ 21, 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.