MinT - Information on Result #2776410

Information on Result #2776410

Linear OOA(3²³³, 69, F₃, 4, 138) (dual of [(69, 4), 43, 139]-NRT-code), using strength reduction based on linear OOA(3²³³, 69, F₃, 4, 139) (dual of [(69, 4), 43, 140]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁹, 23, F₃, 4, 46) (dual of [(23, 4), 33, 47]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵⁹, 24, F₃, 4, 46) (dual of [(24, 4), 37, 47]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,49P) [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(3⁸², 23, F₃, 4, 69) (dual of [(23, 4), 10, 70]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁸², 24, F₃, 4, 69) (dual of [(24, 4), 14, 70]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,26P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24 (see above)
3. linear OOA(3⁹², 23, F₃, 4, 92) (dual of [(23, 4), 0, 93]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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.