MinT - Information on Result #1080807

Information on Result #1080807

Linear OOA(2²⁴⁹, 68, F₂, 4, 140) (dual of [(68, 4), 23, 141]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(2¹⁰⁹, 33, F₂, 4, 70) (dual of [(33, 4), 23, 71]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,61P) [i] based on function field F/F₂ with g(F) = 39 and N(F) ≥ 33, using
  - an explicitly constructive algebraic function field [i]
linear OOA(2¹⁴⁰, 35, F₂, 4, 140) (dual of [(35, 4), 0, 141]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [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.