MinT - Information on Result #2449770

Information on Result #2449770

Linear OOA(8⁷⁵, 39, F₈, 2, 67) (dual of [(39, 2), 3, 68]-NRT-code), using strength reduction based on linear OOA(8⁷⁵, 39, F₈, 2, 68) (dual of [(39, 2), 3, 69]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(8²³, 13, F₈, 2, 22) (dual of [(13, 2), 3, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8²³, 14, F₈, 2, 22) (dual of [(14, 2), 5, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [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.