Information on Result #1042546
Linear OOA(8171, 112, F8, 3, 111) (dual of [(112, 3), 165, 112]-NRT-code), using construction X applied to AG(3;F,179P) ⊂ AG(3;F,201P) based on
- linear OOA(8148, 97, F8, 3, 111) (dual of [(97, 3), 143, 112]-NRT-code), using algebraic-geometric NRT-code AG(3;F,179P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98, using
- linear OOA(8126, 97, F8, 3, 89) (dual of [(97, 3), 165, 90]-NRT-code), using algebraic-geometric NRT-code AG(3;F,201P) [i] based on function field F/F8 with g(F) = 37 and N(F) ≥ 98 (see above)
- linear OOA(823, 15, F8, 3, 21) (dual of [(15, 3), 22, 22]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(823, 17, F8, 3, 21) (dual of [(17, 3), 28, 22]-NRT-code), using
- extended algebraic-geometric NRT-code AGe(3;F,29P) [i] based on function field F/F8 with g(F) = 2 and N(F) ≥ 17, using
- discarding factors / shortening the dual code based on linear OOA(823, 17, F8, 3, 21) (dual of [(17, 3), 28, 22]-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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8171, 112, F8, 3, 110) (dual of [(112, 3), 165, 111]-NRT-code) | [i] | Strength Reduction for OOAs | |