MinT - Information on Result #2282559

Information on Result #2282559

Linear OA(8¹⁵⁹, 241, F₈, 76) (dual of [241, 82, 77]-code), using 2 times code embedding in larger space based on linear OA(8¹⁵⁷, 239, F₈, 76) (dual of [239, 82, 77]-code), using

1 times truncation [i] based on linear OA(8¹⁵⁸, 240, F₈, 77) (dual of [240, 82, 78]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64³⁹, 80, F₆₄, 38) (dual of [80, 41, 39]-code), using
    - extended algebraic-geometric code AG_e(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.