Information on Result #1091718

Linear OOA(3207, 63, F3, 4, 127) (dual of [(63, 4), 45, 128]-NRT-code), using construction X applied to AG(4;F,60P) ⊂ AG(4;F,89P) based on
  1. linear OOA(3172, 47, F3, 4, 127) (dual of [(47, 4), 16, 128]-NRT-code), using algebraic-geometric NRT-code AG(4;F,60P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3143, 47, F3, 4, 98) (dual of [(47, 4), 45, 99]-NRT-code), using algebraic-geometric NRT-code AG(4;F,89P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(335, 16, F3, 4, 28) (dual of [(16, 4), 29, 29]-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(3207, 63, F3, 4, 126) (dual of [(63, 4), 45, 127]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3207, 63, F3, 4, 125) (dual of [(63, 4), 45, 126]-NRT-code) [i]