Information on Result #1126015

Linear OOA(3182, 51, F3, 5, 127) (dual of [(51, 5), 73, 128]-NRT-code), using construction X applied to AG(5;F,107P) ⊂ AG(5;F,118P) based on
  1. linear OOA(3172, 47, F3, 5, 127) (dual of [(47, 5), 63, 128]-NRT-code), using algebraic-geometric NRT-code AG(5;F,107P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3161, 47, F3, 5, 116) (dual of [(47, 5), 74, 117]-NRT-code), using algebraic-geometric NRT-code AG(5;F,118P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(310, 4, F3, 5, 10) (dual of [(4, 5), 10, 11]-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(3182, 51, F3, 5, 126) (dual of [(51, 5), 73, 127]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3182, 51, F3, 5, 125) (dual of [(51, 5), 73, 126]-NRT-code) [i]