MinT - Information on Result #849109

Information on Result #849109

Linear OOA(8¹⁵², 103, F₈, 2, 82) (dual of [(103, 2), 54, 83]-NRT-code), using OOA 2-folding based on linear OA(8¹⁵², 206, F₈, 82) (dual of [206, 54, 83]-code), using

1 times truncation [i] based on linear OA(8¹⁵³, 207, F₈, 83) (dual of [207, 54, 84]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64⁴², 69, F₆₄, 41) (dual of [69, 27, 42]-code), using
    - discarding factors / shortening the dual code based on linear OA(64⁴², 79, F₆₄, 41) (dual of [79, 37, 42]-code), using
      - algebraic-geometric code AG(F,37P) [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.