MinT - Information on Result #982527

Information on Result #982527

Linear OOA(8¹³⁹, 69, F₈, 3, 69) (dual of [(69, 3), 68, 70]-NRT-code), using OOA 3-folding based on linear OA(8¹³⁹, 207, F₈, 69) (dual of [207, 68, 70]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁵, 69, F₆₄, 34) (dual of [69, 34, 35]-code), using
  - discarding factors / shortening the dual code based on linear OA(64³⁵, 79, F₆₄, 34) (dual of [79, 44, 35]-code), using
    - algebraic-geometric code AG(F,44P) [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.