Information on Result #1088349

Linear OOA(281, 26, F2, 4, 47) (dual of [(26, 4), 23, 48]-NRT-code), using construction X applied to AG(4;F,28P) ⊂ AG(4;F,41P) based on
  1. linear OOA(266, 19, F2, 4, 47) (dual of [(19, 4), 10, 48]-NRT-code), using algebraic-geometric NRT-code AG(4;F,28P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(253, 19, F2, 4, 34) (dual of [(19, 4), 23, 35]-NRT-code), using algebraic-geometric NRT-code AG(4;F,41P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20 (see above)
  3. linear OOA(215, 7, F2, 4, 12) (dual of [(7, 4), 13, 13]-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(281, 26, F2, 4, 46) (dual of [(26, 4), 23, 47]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(281, 13, F2, 7, 47) (dual of [(13, 7), 10, 48]-NRT-code) [i]OOA Folding
3Linear OOA(281, 13, F2, 8, 47) (dual of [(13, 8), 23, 48]-NRT-code) [i]