MinT - Information on Result #2630507

Information on Result #2630507

Linear OOA(4¹⁰⁶, 40, F₄, 3, 78) (dual of [(40, 3), 14, 79]-NRT-code), using strength reduction based on linear OOA(4¹⁰⁶, 40, F₄, 3, 79) (dual of [(40, 3), 14, 80]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(4⁴⁶, 20, F₄, 3, 39) (dual of [(20, 3), 14, 40]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴⁶, 21, F₄, 3, 39) (dual of [(21, 3), 17, 40]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,23P) [i] based on function field F/F₄ with g(F) = 7 and N(F) ≥ 21, 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.