MinT - Information on Result #2627503

Information on Result #2627503

Linear OOA(3²²⁴, 78, F₃, 3, 159) (dual of [(78, 3), 10, 160]-NRT-code), using strength reduction based on linear OOA(3²²⁴, 78, F₃, 3, 161) (dual of [(78, 3), 10, 162]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(3⁶⁸, 26, F₃, 3, 53) (dual of [(26, 3), 10, 54]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁶⁸, 27, F₃, 3, 53) (dual of [(27, 3), 13, 54]-NRT-code), using
  - algebraic-geometric NRT-code AG(3;F,27P) [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.