Information on Result #1088700

Linear OOA(2124, 38, F2, 4, 72) (dual of [(38, 4), 28, 73]-NRT-code), using construction X applied to AG(4;F,55P) ⊂ AG(4;F,67P) based on
  1. linear OOA(2111, 32, F2, 4, 72) (dual of [(32, 4), 17, 73]-NRT-code), using algebraic-geometric NRT-code AG(4;F,55P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(299, 32, F2, 4, 60) (dual of [(32, 4), 29, 61]-NRT-code), using algebraic-geometric NRT-code AG(4;F,67P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33 (see above)
  3. linear OOA(213, 6, F2, 4, 11) (dual of [(6, 4), 11, 12]-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(2124, 38, F2, 4, 71) (dual of [(38, 4), 28, 72]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2124, 19, F2, 7, 72) (dual of [(19, 7), 9, 73]-NRT-code) [i]OOA Folding
3Linear OOA(2124, 19, F2, 8, 72) (dual of [(19, 8), 28, 73]-NRT-code) [i]