MinT - Information on Result #847791

Information on Result #847791

Linear OOA(8⁷³, 39, F₈, 2, 60) (dual of [(39, 2), 5, 61]-NRT-code), using OOA 2-folding based on linear OA(8⁷³, 78, F₈, 60) (dual of [78, 5, 61]-code), using

constructionÂ X applied to AG(F,0P) âŠ‚ AG(F,13P) [i] based on
1. linear OA(8⁶³, 64, F₈, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,8)), using algebraic-geometric code AG(F,0P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using
  - the Suzuki function field over F₈ [i]
2. linear OA(8⁵⁹, 64, F₈, 50) (dual of [64, 5, 51]-code), using algebraic-geometric code AG(F,13P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F₈ [i]
3. linear OA(8¹⁰, 14, F₈, 9) (dual of [14, 4, 10]-code), using
  - extended algebraic-geometric code AG_e(F,4P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [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.