Information on Result #938272

Linear OOA(8141, 81, F8, 2, 111) (dual of [(81, 2), 21, 112]-NRT-code), using construction X applied to AG(2;F,16P) ⊂ AG(2;F,34P) based on
  1. linear OOA(8122, 64, F8, 2, 111) (dual of [(64, 2), 6, 112]-NRT-code), using algebraic-geometric NRT-code AG(2;F,16P) with known gap numbers [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F8 [i]
  2. linear OOA(8107, 64, F8, 2, 93) (dual of [(64, 2), 21, 94]-NRT-code), using algebraic-geometric NRT-code AG(2;F,34P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OOA(819, 17, F8, 2, 17) (dual of [(17, 2), 15, 18]-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(8141, 81, F8, 2, 110) (dual of [(81, 2), 21, 111]-NRT-code) [i]Strength Reduction for OOAs
2Linear OOA(8139, 80, F8, 2, 109) (dual of [(80, 2), 21, 110]-NRT-code) [i]Truncation for OOAs