MinT - Information on Result #966831

Information on Result #966831

Linear OOA(4¹⁹⁵, 113, F₄, 3, 68) (dual of [(113, 3), 144, 69]-NRT-code), using OOA 3-folding based on linear OA(4¹⁹⁵, 339, F₄, 68) (dual of [339, 144, 69]-code), using

1 times truncation [i] based on linear OA(4¹⁹⁶, 340, F₄, 69) (dual of [340, 144, 70]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³⁷, 85, F₆₄, 34) (dual of [85, 48, 35]-code), using
    - discarding factors / shortening the dual code based on linear OA(64³⁷, 103, F₆₄, 34) (dual of [103, 66, 35]-code), using
      - algebraic-geometric code AG(F,68P) [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.