MinT - Information on Result #843618

Information on Result #843618

Linear OOA(8¹⁶, 13, F₈, 2, 12) (dual of [(13, 2), 10, 13]-NRT-code), using OOA 2-folding based on linear OA(8¹⁶, 26, F₈, 12) (dual of [26, 10, 13]-code), using

constructionÂ X applied to AG(F,10P) âŠ‚ AG(F,12P) [i] based on
1. linear OA(8¹⁵, 23, F₈, 12) (dual of [23, 8, 13]-code), using algebraic-geometric code AG(F,10P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24, using
  - the Klein quartic over F₈ [i]
2. linear OA(8¹³, 23, F₈, 10) (dual of [23, 10, 11]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F₈ with g(F) = 3 and N(F) ≥ 24 (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.