MinT - Information on Result #1443071

Information on Result #1443071

Linear OOA(8¹⁴, 162, F₈, 2, 6) (dual of [(162, 2), 310, 7]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(8¹⁴, 162, F₈, 6) (dual of [162, 148, 7]-code), using

trace code [i] based on linear OA(64⁷, 81, F₆₄, 6) (dual of [81, 74, 7]-code), using
- extended algebraic-geometric code AG_e(F,74P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 81, 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.