MinT - Information on Result #2663372

Information on Result #2663372

Linear OOA(4²²⁵, 79, F₄, 3, 172) (dual of [(79, 3), 12, 173]-NRT-code), using 6 step truncation based on linear OOA(4²³¹, 81, F₄, 3, 178) (dual of [(81, 3), 12, 179]-NRT-code), using

strength reduction [i] based on linear OOA(4²³¹, 81, F₄, 3, 179) (dual of [(81, 3), 12, 180]-NRT-code), using
- repeating each code word 3 times [i] based on linear OOA(4⁶⁹, 27, F₄, 3, 59) (dual of [(27, 3), 12, 60]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,21P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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.