MinT - Information on Result #1024880

Information on Result #1024880

Linear OOA(8¹⁵², 52, F₈, 3, 139) (dual of [(52, 3), 4, 140]-NRT-code), using repeating each code word 4 times based on linear OOA(8³⁵, 13, F₈, 3, 34) (dual of [(13, 3), 4, 35]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(8³⁵, 14, F₈, 3, 34) (dual of [(14, 3), 7, 35]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,7P) [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.