MinT - Information on Result #1440796

Information on Result #1440796

Linear OOA(7³⁴, 126, F₇, 2, 15) (dual of [(126, 2), 218, 16]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(7³⁴, 126, F₇, 15) (dual of [126, 92, 16]-code), using

discarding factors / shortening the dual code based on linear OA(7³⁴, 156, F₇, 15) (dual of [156, 122, 16]-code), using
- trace code [i] based on linear OA(49¹⁷, 78, F₄₉, 15) (dual of [78, 61, 16]-code), using
  - extended algebraic-geometric code AG_e(F,62P) [i] based on function field F/F₄₉ with g(F) = 2 and N(F) ≥ 78, using
    - sharp bound on the number of rational points on curves with genus 2 [i]

Mode: 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.