MinT - Information on Result #2641059

Information on Result #2641059

Linear OOA(5¹³⁰, 45, F₅, 3, 111) (dual of [(45, 3), 5, 112]-NRT-code), using strength reduction based on linear OOA(5¹³⁰, 45, F₅, 3, 113) (dual of [(45, 3), 5, 114]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(5⁴⁰, 15, F₅, 3, 37) (dual of [(15, 3), 5, 38]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5⁴⁰, 16, F₅, 3, 37) (dual of [(16, 3), 8, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,10P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, 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.