Information on Result #1093567

Linear OOA(3225, 66, F3, 4, 141) (dual of [(66, 4), 39, 142]-NRT-code), using construction X applied to AG(4;F,0P) ⊂ AG(4;F,32P) based on
  1. linear OOA(3143, 36, F3, 4, 143) (dual of [(36, 4), 1, 144]-NRT-code), using algebraic-geometric NRT-code AG(4;F,0P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
  2. linear OOA(3105, 36, F3, 4, 79) (dual of [(36, 4), 39, 80]-NRT-code), using algebraic-geometric NRT-code AG(4;F,32P) with degP = 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36 (see above)
  3. linear OOA(382, 30, F3, 4, 61) (dual of [(30, 4), 38, 62]-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(3225, 66, F3, 4, 140) (dual of [(66, 4), 39, 141]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3225, 66, F3, 4, 139) (dual of [(66, 4), 39, 140]-NRT-code) [i]
3Linear OOA(3225, 66, F3, 4, 138) (dual of [(66, 4), 39, 139]-NRT-code) [i]
4Linear OOA(3224, 65, F3, 4, 140) (dual of [(65, 4), 36, 141]-NRT-code) [i]Truncation for OOAs
5Linear OOA(3223, 65, F3, 4, 139) (dual of [(65, 4), 37, 140]-NRT-code) [i]
6Linear OOA(3222, 65, F3, 4, 138) (dual of [(65, 4), 38, 139]-NRT-code) [i]
7Linear OOA(3221, 65, F3, 4, 137) (dual of [(65, 4), 39, 138]-NRT-code) [i]