MinT - Information on Result #824621

Information on Result #824621

Linear OOA(4⁶³, 46, F₄, 2, 29) (dual of [(46, 2), 29, 30]-NRT-code), using OOA 2-folding based on linear OA(4⁶³, 92, F₄, 29) (dual of [92, 29, 30]-code), using

discarding factors / shortening the dual code based on linear OA(4⁶³, 93, F₄, 29) (dual of [93, 30, 30]-code), using
- concatenation of two codes [i] based on
  1. linear OA(16¹⁶, 31, F₁₆, 14) (dual of [31, 15, 15]-code), using
    - discarding factors / shortening the dual code based on linear OA(16¹⁶, 33, F₁₆, 14) (dual of [33, 17, 15]-code), using
      - extended algebraic-geometric code AG_e(F,18P) [i] based on function field F/F₁₆ with g(F) = 2 and N(F) ≥ 33, using
        a function field by SÃ©mirat [i]
  2. linear OA(4¹, 3, F₄, 1) (dual of [3, 2, 2]-code), using
    - discarding factors / shortening the dual code based on linear OA(4¹, s, F₄, 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.