MinT - Information on Result #817910

Information on Result #817910

Linear OOA(3¹⁴², 104, F₃, 2, 54) (dual of [(104, 2), 66, 55]-NRT-code), using OOA 2-folding based on linear OA(3¹⁴², 208, F₃, 54) (dual of [208, 66, 55]-code), using

strength reduction [i] based on linear OA(3¹⁴², 208, F₃, 55) (dual of [208, 66, 56]-code), using
- concatenation of two codes [i] based on
  1. linear OA(27³⁰, 52, F₂₇, 27) (dual of [52, 22, 28]-code), using
    - extended algebraic-geometric code AG_e(F,24P) [i] based on function field F/F₂₇ with g(F) = 3 and N(F) ≥ 52, 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.