MinT - Information on Result #2625723

Information on Result #2625723

Linear OOA(3¹⁹⁵, 69, F₃, 3, 135) (dual of [(69, 3), 12, 136]-NRT-code), using strength reduction based on linear OOA(3¹⁹⁵, 69, F₃, 3, 137) (dual of [(69, 3), 12, 138]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁵⁸, 23, F₃, 3, 45) (dual of [(23, 3), 11, 46]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(3⁵⁸, 24, F₃, 3, 45) (dual of [(24, 3), 14, 46]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,26P) [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(3⁶⁸, 23, F₃, 3, 68) (dual of [(23, 3), 1, 69]-NRT-code), using
  - dual of repetition NRT-code with length 23 [i]
3. linear OOA(3⁶⁹, 23, F₃, 3, 69) (dual of [(23, 3), 0, 70]-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.