Information on Result #1037925

Linear OOA(4247, 156, F4, 3, 97) (dual of [(156, 3), 221, 98]-NRT-code), using construction X applied to AG(3;F,289P) ⊂ AG(3;F,325P) based on
  1. linear OOA(4202, 129, F4, 3, 97) (dual of [(129, 3), 185, 98]-NRT-code), using algebraic-geometric NRT-code AG(3;F,289P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
  2. linear OOA(4166, 129, F4, 3, 61) (dual of [(129, 3), 221, 62]-NRT-code), using algebraic-geometric NRT-code AG(3;F,325P) [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130 (see above)
  3. linear OOA(445, 27, F4, 3, 35) (dual of [(27, 3), 36, 36]-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(4247, 156, F4, 3, 96) (dual of [(156, 3), 221, 97]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(4247, 156, F4, 3, 95) (dual of [(156, 3), 221, 96]-NRT-code) [i]
3Linear OOA(4250, 157, F4, 3, 97) (dual of [(157, 3), 221, 98]-NRT-code) [i]NRT-Code Embedding in Larger Space