MinT - Information on Result #955017

Information on Result #955017

Linear OOA(3⁹², 42, F₃, 3, 39) (dual of [(42, 3), 34, 40]-NRT-code), using OOA 3-folding based on linear OA(3⁹², 126, F₃, 39) (dual of [126, 34, 40]-code), using

discarding factors / shortening the dual code based on linear OA(3⁹², 128, F₃, 39) (dual of [128, 36, 40]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27²⁰, 32, F₂₇, 19) (dual of [32, 12, 20]-code), using
    - discarding factors / shortening the dual code based on linear OA(27²⁰, 38, F₂₇, 19) (dual of [38, 18, 20]-code), using
      - extended algebraic-geometric code AG_e(F,18P) [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.