MinT - Information on Result #1120108

Information on Result #1120108

Linear OOA(2²⁵¹, 54, F₂, 5, 158) (dual of [(54, 5), 19, 159]-NRT-code), using repeating each code word 3 times based on linear OOA(2⁷¹, 18, F₂, 5, 52) (dual of [(18, 5), 19, 53]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2⁷¹, 19, F₂, 5, 52) (dual of [(19, 5), 24, 53]-NRT-code), using
- algebraic-geometric NRT-code AG(5;F,42P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, 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.