Information on Result #1040336
Linear OOA(840, 67, F8, 3, 22) (dual of [(67, 3), 161, 23]-NRT-code), using construction X applied to AG(3;F,169P) ⊂ AG(3;F,174P) based on
- linear OOA(836, 64, F8, 3, 22) (dual of [(64, 3), 156, 23]-NRT-code), using algebraic-geometric NRT-code AG(3;F,169P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65, using
- the Suzuki function field over F8 [i]
- linear OOA(831, 64, F8, 3, 17) (dual of [(64, 3), 161, 18]-NRT-code), using algebraic-geometric NRT-code AG(3;F,174P) [i] based on function field F/F8 with g(F) = 14 and N(F) ≥ 65 (see above)
- linear OOA(84, 3, F8, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 3, 4) (dual of [(8, 3), 20, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;20,8) [i]
- discarding factors / shortening the dual code based on linear OOA(84, 8, F8, 3, 4) (dual of [(8, 3), 20, 5]-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(840, 67, F8, 3, 21) (dual of [(67, 3), 161, 22]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(8142, 421, F8, 3, 44) (dual of [(421, 3), 1121, 45]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(8144, 421, F8, 3, 45) (dual of [(421, 3), 1119, 46]-NRT-code) | [i] | ||
| 4 | Digital (18, 40, 67)-net over F8 | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |