Information on Result #1088524

Linear OOA(2109, 35, F2, 4, 64) (dual of [(35, 4), 31, 65]-NRT-code), using construction X applied to AG(4;F,63P) ⊂ AG(4;F,70P) based on
  1. linear OOA(2103, 32, F2, 4, 64) (dual of [(32, 4), 25, 65]-NRT-code), using algebraic-geometric NRT-code AG(4;F,63P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(296, 32, F2, 4, 57) (dual of [(32, 4), 32, 58]-NRT-code), using algebraic-geometric NRT-code AG(4;F,70P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(26, 3, F2, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using

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

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(2109, 35, F2, 4, 63) (dual of [(35, 4), 31, 64]-NRT-code) [i]Strength Reduction for OOAs