MinT - Information on Result #2768895

Information on Result #2768895

Linear OOA(3⁶⁹, 18, F₃, 4, 61) (dual of [(18, 4), 3, 62]-NRT-code), using strength reduction based on linear OOA(3⁶⁹, 18, F₃, 4, 62) (dual of [(18, 4), 3, 63]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(3²¹, 6, F₃, 4, 20) (dual of [(6, 4), 3, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²¹, 7, F₃, 4, 20) (dual of [(7, 4), 7, 21]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,7P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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.