Information on Result #1091206

Linear OOA(3153, 54, F3, 4, 94) (dual of [(54, 4), 63, 95]-NRT-code), using construction X applied to AG(4;F,93P) ⊂ AG(4;F,107P) based on
  1. linear OOA(3139, 47, F3, 4, 94) (dual of [(47, 4), 49, 95]-NRT-code), using algebraic-geometric NRT-code AG(4;F,93P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3125, 47, F3, 4, 80) (dual of [(47, 4), 63, 81]-NRT-code), using algebraic-geometric NRT-code AG(4;F,107P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(314, 7, F3, 4, 13) (dual of [(7, 4), 14, 14]-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(3153, 54, F3, 4, 93) (dual of [(54, 4), 63, 94]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3153, 54, F3, 4, 92) (dual of [(54, 4), 63, 93]-NRT-code) [i]