Information on Result #1088163

Linear OOA(290, 26, F2, 4, 57) (dual of [(26, 4), 14, 58]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,28P) based on
  1. linear OOA(263, 16, F2, 4, 63) (dual of [(16, 4), 1, 64]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17, using
  2. linear OOA(250, 16, F2, 4, 35) (dual of [(16, 4), 14, 36]-NRT-code), using algebraic-geometric NRT-code AG(4;F,28P) [i] based on function field F/F2 with g(F) = 15 and N(F) ≥ 17 (see above)
  3. linear OOA(227, 10, F2, 4, 21) (dual of [(10, 4), 13, 22]-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(290, 26, F2, 4, 56) (dual of [(26, 4), 14, 57]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(290, 13, F2, 8, 57) (dual of [(13, 8), 14, 58]-NRT-code) [i]OOA Folding