MinT - Information on Result #1436272

Information on Result #1436272

Linear OOA(5²², 60, F₅, 2, 10) (dual of [(60, 2), 98, 11]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(5²², 60, F₅, 10) (dual of [60, 38, 11]-code), using

discarding factors / shortening the dual code based on linear OA(5²², 72, F₅, 10) (dual of [72, 50, 11]-code), using
- trace code [i] based on linear OA(25¹¹, 36, F₂₅, 10) (dual of [36, 25, 11]-code), using
  - extended algebraic-geometric code AG_e(F,25P) [i] based on function field F/F₂₅ with g(F) = 1 and N(F) ≥ 36, using
    - sharp bound on the number of rational points on curves with genus 1 [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.