Information on Result #1126474

Linear OOA(3178, 55, F3, 5, 112) (dual of [(55, 5), 97, 113]-NRT-code), using construction X applied to AG(5;F,122P) ⊂ AG(5;F,142P) based on
  1. linear OOA(3157, 47, F3, 5, 112) (dual of [(47, 5), 78, 113]-NRT-code), using algebraic-geometric NRT-code AG(5;F,122P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48, using
  2. linear OOA(3137, 47, F3, 5, 92) (dual of [(47, 5), 98, 93]-NRT-code), using algebraic-geometric NRT-code AG(5;F,142P) [i] based on function field F/F3 with g(F) = 45 and N(F) ≥ 48 (see above)
  3. linear OOA(321, 8, F3, 5, 19) (dual of [(8, 5), 19, 20]-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(3178, 55, F3, 5, 111) (dual of [(55, 5), 97, 112]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(3178, 55, F3, 5, 110) (dual of [(55, 5), 97, 111]-NRT-code) [i]