MinT - Information on Result #966236

Information on Result #966236

Linear OOA(4¹⁸⁸, 115, F₄, 3, 62) (dual of [(115, 3), 157, 63]-NRT-code), using OOA 3-folding based on linear OA(4¹⁸⁸, 345, F₄, 62) (dual of [345, 157, 63]-code), using

discarding factors / shortening the dual code based on linear OA(4¹⁸⁸, 347, F₄, 62) (dual of [347, 159, 63]-code), using
- 1 times truncation [i] based on linear OA(4¹⁸⁹, 348, F₄, 63) (dual of [348, 159, 64]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(64³⁴, 87, F₆₄, 31) (dual of [87, 53, 32]-code), using
      - discarding factors / shortening the dual code based on linear OA(64³⁴, 103, F₆₄, 31) (dual of [103, 69, 32]-code), using
        algebraic-geometric code AG(F,71P) [i] based on function field F/F₆₄ with g(F) = 3 and N(F) ≥ 104, using
        a function field by SÃ©mirat [i]
    2. linear OA(4¹, 4, F₄, 1) (dual of [4, 3, 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.