MinT - Information on Result #2631524

Information on Result #2631524

Linear OOA(4¹³⁸, 48, F₄, 3, 112) (dual of [(48, 3), 6, 113]-NRT-code), using strength reduction based on linear OOA(4¹³⁸, 48, F₄, 3, 113) (dual of [(48, 3), 6, 114]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(4⁴², 16, F₄, 3, 37) (dual of [(16, 3), 6, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4⁴², 17, F₄, 3, 37) (dual of [(17, 3), 9, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₄ with g(F) = 5 and N(F) ≥ 17, 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.