MinT - Information on Result #844010

Information on Result #844010

Linear OOA(8²⁶, 18, F₈, 2, 18) (dual of [(18, 2), 10, 19]-NRT-code), using OOA 2-folding based on linear OA(8²⁶, 36, F₈, 18) (dual of [36, 10, 19]-code), using

constructionÂ X applied to AG(F,14P) âŠ‚ AG(F,16P) [i] based on
1. linear OA(8²⁵, 33, F₈, 18) (dual of [33, 8, 19]-code), using algebraic-geometric code AG(F,14P) [i] based on function field F/F₈ with g(F) = 7 and N(F) ≥ 34, using
  - a function field by SÃ©mirat [i]
2. linear OA(8²³, 33, F₈, 16) (dual of [33, 10, 17]-code), using algebraic-geometric code AG(F,16P) [i] based on function field F/F₈ with g(F) = 7 and N(F) ≥ 34 (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.

Other Results with Identical Parameters

None.

Depending Results

None.