Information on Result #1046776

Linear OOA(8175, 375, F81, 3, 50) (dual of [(375, 3), 1050, 51]-NRT-code), using construction X applied to AG(3;F,1056P) ⊂ AG(3;F,1066P) based on
  1. linear OOA(8166, 369, F81, 3, 50) (dual of [(369, 3), 1041, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1056P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
  2. linear OOA(8156, 369, F81, 3, 40) (dual of [(369, 3), 1051, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1066P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
  3. linear OOA(819, 6, F81, 3, 9) (dual of [(6, 3), 9, 10]-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(9150, 750, F9, 3, 50) (dual of [(750, 3), 2100, 51]-NRT-code) [i]Trace Code for OOAs