MinT - Information on Result #2639664

Information on Result #2639664

Linear OOA(5⁷⁷, 27, F₅, 3, 67) (dual of [(27, 3), 4, 68]-NRT-code), using strength reduction based on linear OOA(5⁷⁷, 27, F₅, 3, 68) (dual of [(27, 3), 4, 69]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(5²³, 9, F₅, 3, 22) (dual of [(9, 3), 4, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5²³, 10, F₅, 3, 22) (dual of [(10, 3), 7, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, 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.