MinT - Information on Result #1065162

Information on Result #1065162

Linear OOA(3¹⁵¹, 49, F₃, 4, 74) (dual of [(49, 4), 45, 75]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁵¹, 98, F₃, 2, 74) (dual of [(98, 2), 45, 75]-NRT-code), using

1 step truncation [i] based on linear OOA(3¹⁵², 99, F₃, 2, 75) (dual of [(99, 2), 46, 76]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OOA(9⁴³, 33, F₉, 2, 37) (dual of [(33, 2), 23, 38]-NRT-code), using
    - discarding factors / shortening the dual code based on linear OOA(9⁴³, 34, F₉, 2, 37) (dual of [(34, 2), 25, 38]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(2;F,30P) [i] based on function field F/F₉ with g(F) = 6 and N(F) ≥ 34, using
        a function field by SÃ©mirat [i]
  2. linear OA(3¹, 3, F₃, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [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.