MinT - Information on Result #625960

Information on Result #625960

Linear OA(8⁸⁵, 94, F₈, 57) (dual of [94, 9, 58]-code), using repeating each code word 2 times based on linear OA(8³⁸, 47, F₈, 28) (dual of [47, 9, 29]-code), using

discarding factors / shortening the dual code based on linear OA(8³⁸, 48, F₈, 28) (dual of [48, 10, 29]-code), using
- constructionÂ X applied to AG(F,8P) âŠ‚ AG(F,9P) [i] based on
  1. linear OA(8³⁷, 45, F₈, 28) (dual of [45, 8, 29]-code), using algebraic-geometric code AG(F,8P) with degPÂ =Â 2 [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45, using an explicitly constructive algebraic function field [i]
  2. linear OA(8³⁵, 45, F₈, 26) (dual of [45, 10, 27]-code), using algebraic-geometric code AG(F,9P) with degPÂ =Â 2 [i] based on function field F/F₈ with g(F) = 9 and N(F) ≥ 45 (see above)
  3. 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

None.