Information on Result #1577000
Linear OOA(8166, 158, F8, 3, 98) (dual of [(158, 3), 308, 99]-NRT-code), using construction X applied to AG(3;F,330P) ⊂ AG(3;F,352P) based on
- linear OOA(8143, 143, F8, 3, 98) (dual of [(143, 3), 286, 99]-NRT-code), using algebraic-geometric NRT-code AG(3;F,330P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144, using
- linear OOA(8121, 143, F8, 3, 76) (dual of [(143, 3), 308, 77]-NRT-code), using algebraic-geometric NRT-code AG(3;F,352P) [i] based on function field F/F8 with g(F) = 45 and N(F) ≥ 144 (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: 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(8166, 158, F8, 3, 97) (dual of [(158, 3), 308, 98]-NRT-code) | [i] | Strength Reduction for OOAs | |