MinT - Information on Result #1443148

Information on Result #1443148

Linear OOA(8²⁸, 173, F₈, 2, 12) (dual of [(173, 2), 318, 13]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(8²⁸, 173, F₈, 12) (dual of [173, 145, 13]-code), using

discarding factors / shortening the dual code based on linear OA(8²⁸, 194, F₈, 12) (dual of [194, 166, 13]-code), using
- trace code [i] based on linear OA(64¹⁴, 97, F₆₄, 12) (dual of [97, 83, 13]-code), using
  - extended algebraic-geometric code AG_e(F,84P) [i] based on function field F/F₆₄ with g(F) = 2 and N(F) ≥ 97, 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.