MinT - Information on Result #846165

Information on Result #846165

Linear OOA(8⁵⁷, 36, F₈, 2, 40) (dual of [(36, 2), 15, 41]-NRT-code), using OOA 2-folding based on linear OA(8⁵⁷, 72, F₈, 40) (dual of [72, 15, 41]-code), using

1 times truncation [i] based on linear OA(8⁵⁸, 73, F₈, 41) (dual of [73, 15, 42]-code), using
- constructionÂ X applied to AG(F,23P) âŠ‚ AG(F,28P) [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(8⁴⁹, 64, F₈, 35) (dual of [64, 15, 36]-code), using algebraic-geometric code AG(F,28P) [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OA(8⁵, 9, F₈, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), using
    - extended Reedâ€“Solomon code RS_e(4,8) [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.