Information on Result #937379

Linear OOA(8180, 384, F81, 2, 49) (dual of [(384, 2), 688, 50]-NRT-code), using construction X applied to AG(2;F,688P) ⊂ AG(2;F,704P) based on
  1. linear OOA(8165, 369, F81, 2, 49) (dual of [(369, 2), 673, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,688P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
  2. linear OOA(8149, 369, F81, 2, 33) (dual of [(369, 2), 689, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,704P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
  3. linear OOA(8115, 15, F81, 2, 15) (dual of [(15, 2), 15, 16]-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(8180, 192, F81, 3, 49) (dual of [(192, 3), 496, 50]-NRT-code) [i]OOA Folding
2Linear OOA(8180, 192, F81, 4, 49) (dual of [(192, 4), 688, 50]-NRT-code) [i]