MinT - Information on Result #2447496

Information on Result #2447496

Linear OOA(5¹⁰⁵, 57, F₅, 2, 76) (dual of [(57, 2), 9, 77]-NRT-code), using strength reduction based on linear OOA(5¹⁰⁵, 57, F₅, 2, 77) (dual of [(57, 2), 9, 78]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(5²¹, 15, F₅, 2, 18) (dual of [(15, 2), 9, 19]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(5²¹, 16, F₅, 2, 18) (dual of [(16, 2), 11, 19]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₅ with g(F) = 3 and N(F) ≥ 16, using
      - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁷⁵, 42, F₅, 2, 58) (dual of [(42, 2), 9, 59]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,25P) [i] based on function field F/F₅ with g(F) = 17 and N(F) ≥ 42, 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.