Information on Result #938245

Linear OOA(8147, 81, F8, 2, 119) (dual of [(81, 2), 15, 120]-NRT-code), using construction X applied to AG(2;F,8P) ⊂ AG(2;F,28P) based on
  1. linear OOA(8126, 64, F8, 2, 119) (dual of [(64, 2), 2, 120]-NRT-code), using algebraic-geometric NRT-code AG(2;F,8P) 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(8113, 64, F8, 2, 99) (dual of [(64, 2), 15, 100]-NRT-code), using algebraic-geometric NRT-code AG(2;F,28P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
  3. linear OOA(821, 17, F8, 2, 19) (dual of [(17, 2), 13, 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(8145, 80, F8, 2, 117) (dual of [(80, 2), 15, 118]-NRT-code) [i]Truncation for OOAs