MinT - Information on Result #2858576

Information on Result #2858576

Linear OOA(3²⁴⁸, 51, F₃, 5, 212) (dual of [(51, 5), 7, 213]-NRT-code), using strength reduction based on linear OOA(3²⁴⁸, 51, F₃, 5, 213) (dual of [(51, 5), 7, 214]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁵³, 12, F₃, 5, 49) (dual of [(12, 5), 7, 50]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹⁸⁸, 39, F₃, 5, 163) (dual of [(39, 5), 7, 164]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3⁴⁸, 11, F₃, 5, 44) (dual of [(11, 5), 7, 45]-NRT-code), using
      - discarding factors / shortening the dual code based on linear OOA(3⁴⁸, 12, F₃, 5, 44) (dual of [(12, 5), 12, 45]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(5;F,15P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12 (see above)
    2. linear OOA(3¹³³, 28, F₃, 5, 118) (dual of [(28, 5), 7, 119]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(5;F,21P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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.