MinT - Information on Result #846258

Information on Result #846258

Linear OOA(8⁶¹, 39, F₈, 2, 41) (dual of [(39, 2), 17, 42]-NRT-code), using OOA 2-folding based on linear OA(8⁶¹, 78, F₈, 41) (dual of [78, 17, 42]-code), using

constructionÂ X applied to AG(F,23P) âŠ‚ AG(F,30P) [i] based on
1. linear OA(8⁵³, 64, F₈, 41) (dual of [64, 11, 42]-code), using algebraic-geometric code AG(F,23P) 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]
2. linear OA(8⁴⁷, 64, F₈, 33) (dual of [64, 17, 34]-code), using algebraic-geometric code AG(F,30P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
3. linear OA(8⁸, 14, F₈, 7) (dual of [14, 6, 8]-code), using
  - extended algebraic-geometric code AG_e(F,6P) [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.