MinT - Information on Result #967646

Information on Result #967646

Linear OOA(4²¹⁷, 125, F₄, 3, 77) (dual of [(125, 3), 158, 78]-NRT-code), using OOA 3-folding based on linear OA(4²¹⁷, 375, F₄, 77) (dual of [375, 158, 78]-code), using

discarding factors / shortening the dual code based on linear OA(4²¹⁷, 376, F₄, 77) (dual of [376, 159, 78]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64⁴¹, 94, F₆₄, 38) (dual of [94, 53, 39]-code), using
    - discarding factors / shortening the dual code based on linear OA(64⁴¹, 103, F₆₄, 38) (dual of [103, 62, 39]-code), using
      - algebraic-geometric code AG(F,64P) [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.