Information on Result #1088363

Linear OOA(267, 26, F2, 4, 33) (dual of [(26, 4), 37, 34]-NRT-code), using construction X applied to AG(4;F,42P) ⊂ AG(4;F,55P) based on
  1. linear OOA(252, 19, F2, 4, 33) (dual of [(19, 4), 24, 34]-NRT-code), using algebraic-geometric NRT-code AG(4;F,42P) [i] based on function field F/F2 with g(F) = 19 and N(F) ≥ 20, using
  2. linear OOA(239, 19, F2, 4, 20) (dual of [(19, 4), 37, 21]-NRT-code), using algebraic-geometric NRT-code AG(4;F,55P) [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(267, 26, F2, 4, 32) (dual of [(26, 4), 37, 33]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(267, 13, F2, 7, 33) (dual of [(13, 7), 24, 34]-NRT-code) [i]OOA Folding
3Linear OOA(267, 13, F2, 8, 33) (dual of [(13, 8), 37, 34]-NRT-code) [i]