MinT - Information on Result #968480

Information on Result #968480

Linear OOA(4²³³, 123, F₄, 3, 88) (dual of [(123, 3), 136, 89]-NRT-code), using OOA 3-folding based on linear OA(4²³³, 369, F₄, 88) (dual of [369, 136, 89]-code), using

discarding factors / shortening the dual code based on linear OA(4²³³, 371, F₄, 88) (dual of [371, 138, 89]-code), using
- 1 times truncation [i] based on linear OA(4²³⁴, 372, F₄, 89) (dual of [372, 138, 90]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(64⁴⁷, 93, F₆₄, 44) (dual of [93, 46, 45]-code), using
      - discarding factors / shortening the dual code based on linear OA(64⁴⁷, 103, F₆₄, 44) (dual of [103, 56, 45]-code), using
        algebraic-geometric code AG(F,58P) [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.