MinT - Information on Result #843928

Information on Result #843928

Linear OOA(8²⁵, 18, F₈, 2, 17) (dual of [(18, 2), 11, 18]-NRT-code), using OOA 2-folding based on linear OA(8²⁵, 36, F₈, 17) (dual of [36, 11, 18]-code), using

constructionÂ X applied to AG(F,15P) âŠ‚ AG(F,17P) [i] based on
1. linear OA(8²⁴, 33, F₈, 17) (dual of [33, 9, 18]-code), using algebraic-geometric code AG(F,15P) [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(8²², 33, F₈, 15) (dual of [33, 11, 16]-code), using algebraic-geometric code AG(F,17P) [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.