Information on Result #1088718

Linear OOA(2106, 38, F2, 4, 54) (dual of [(38, 4), 46, 55]-NRT-code), using construction X applied to AG(4;F,73P) ⊂ AG(4;F,85P) based on
  1. linear OOA(293, 32, F2, 4, 54) (dual of [(32, 4), 35, 55]-NRT-code), using algebraic-geometric NRT-code AG(4;F,73P) [i] based on function field F/F2 with g(F) = 39 and N(F) ≥ 33, using
  2. linear OOA(281, 32, F2, 4, 42) (dual of [(32, 4), 47, 43]-NRT-code), using algebraic-geometric NRT-code AG(4;F,85P) [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(2106, 38, F2, 4, 53) (dual of [(38, 4), 46, 54]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(2106, 19, F2, 7, 54) (dual of [(19, 7), 27, 55]-NRT-code) [i]OOA Folding
3Linear OOA(2106, 19, F2, 8, 54) (dual of [(19, 8), 46, 55]-NRT-code) [i]