MinT - Information on Result #849341

Information on Result #849341

Linear OOA(8¹⁵⁹, 106, F₈, 2, 87) (dual of [(106, 2), 53, 88]-NRT-code), using OOA 2-folding based on linear OA(8¹⁵⁹, 212, F₈, 87) (dual of [212, 53, 88]-code), using

discarding factors / shortening the dual code based on linear OA(8¹⁵⁹, 213, F₈, 87) (dual of [213, 54, 88]-code), using
- concatenation of two codes [i] based on
  1. linear OA(64⁴⁴, 71, F₆₄, 43) (dual of [71, 27, 44]-code), using
    - discarding factors / shortening the dual code based on linear OA(64⁴⁴, 79, F₆₄, 43) (dual of [79, 35, 44]-code), using
      - algebraic-geometric code AG(F,35P) [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.