MinT - Information on Result #2848947

Information on Result #2848947

Linear OOA(2²⁵⁹, 54, F₂, 5, 181) (dual of [(54, 5), 11, 182]-NRT-code), using strength reduction based on linear OOA(2²⁵⁹, 54, F₂, 5, 182) (dual of [(54, 5), 11, 183]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(2⁷⁹, 18, F₂, 5, 60) (dual of [(18, 5), 11, 61]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2⁷⁹, 19, F₂, 5, 60) (dual of [(19, 5), 16, 61]-NRT-code), using
  - algebraic-geometric NRT-code AG(5;F,34P) [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.