MinT - Information on Result #2622299

Information on Result #2622299

Linear OOA(3¹²⁸, 49, F₃, 3, 81) (dual of [(49, 3), 19, 82]-NRT-code), using strength reduction based on linear OOA(3¹²⁸, 49, F₃, 3, 82) (dual of [(49, 3), 19, 83]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁴, 21, F₃, 3, 31) (dual of [(21, 3), 19, 32]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁴⁴, 24, F₃, 3, 31) (dual of [(24, 3), 28, 32]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,40P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
2. linear OOA(3⁶⁵, 28, F₃, 3, 50) (dual of [(28, 3), 19, 51]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,33P) [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.