MinT - Information on Result #983350

Information on Result #983350

Linear OOA(8¹⁶⁰, 68, F₈, 3, 90) (dual of [(68, 3), 44, 91]-NRT-code), using OOA 3-folding based on linear OA(8¹⁶⁰, 204, F₈, 90) (dual of [204, 44, 91]-code), using

discarding factors / shortening the dual code based on linear OA(8¹⁶⁰, 206, F₈, 90) (dual of [206, 46, 91]-code), using
- 1 times truncation [i] based on linear OA(8¹⁶¹, 207, F₈, 91) (dual of [207, 46, 92]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(64⁴⁶, 69, F₆₄, 45) (dual of [69, 23, 46]-code), using
      - discarding factors / shortening the dual code based on linear OA(64⁴⁶, 79, F₆₄, 45) (dual of [79, 33, 46]-code), using
        algebraic-geometric code AG(F,33P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 80, using
        a function field by SÃ©mirat [i]
    2. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 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.