MinT - Information on Result #955216

Information on Result #955216

Linear OOA(3⁹⁵, 42, F₃, 3, 41) (dual of [(42, 3), 31, 42]-NRT-code), using OOA 3-folding based on linear OA(3⁹⁵, 126, F₃, 41) (dual of [126, 31, 42]-code), using

discarding factors / shortening the dual code based on linear OA(3⁹⁵, 128, F₃, 41) (dual of [128, 33, 42]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27²¹, 32, F₂₇, 20) (dual of [32, 11, 21]-code), using
    - discarding factors / shortening the dual code based on linear OA(27²¹, 38, F₂₇, 20) (dual of [38, 17, 21]-code), using
      - extended algebraic-geometric code AG_e(F,17P) [i] based on function field F/F₂₇ with g(F) = 1 and N(F) ≥ 38, using
        a function field by SÃ©mirat [i]
  2. linear OA(3¹, 4, F₃, 1) (dual of [4, 3, 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.