MinT - Information on Result #982768

Information on Result #982768

Linear OOA(8¹⁴⁴, 68, F₈, 3, 75) (dual of [(68, 3), 60, 76]-NRT-code), using OOA 3-folding based on linear OA(8¹⁴⁴, 204, F₈, 75) (dual of [204, 60, 76]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁸, 68, F₆₄, 37) (dual of [68, 30, 38]-code), using
  - discarding factors / shortening the dual code based on linear OA(64³⁸, 79, F₆₄, 37) (dual of [79, 41, 38]-code), using
    - algebraic-geometric code AG(F,41P) [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.