Information on Result #920917

Linear OOA(593, 87, F5, 2, 45) (dual of [(87, 2), 81, 46]-NRT-code), using construction X applied to AG(2;F,96P) ⊂ AG(2;F,111P) based on
  1. linear OOA(576, 71, F5, 2, 45) (dual of [(71, 2), 66, 46]-NRT-code), using algebraic-geometric NRT-code AG(2;F,96P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72, using
  2. linear OOA(561, 71, F5, 2, 30) (dual of [(71, 2), 81, 31]-NRT-code), using algebraic-geometric NRT-code AG(2;F,111P) [i] based on function field F/F5 with g(F) = 31 and N(F) ≥ 72 (see above)
  3. linear OOA(517, 16, F5, 2, 14) (dual of [(16, 2), 15, 15]-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(593, 87, F5, 2, 44) (dual of [(87, 2), 81, 45]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(595, 88, F5, 2, 45) (dual of [(88, 2), 81, 46]-NRT-code) [i]NRT-Code Embedding in Larger Space