Information on Result #1040306
Linear OOA(855, 67, F8, 3, 37) (dual of [(67, 3), 146, 38]-NRT-code), using construction X applied to AG(3;F,154P) ⊂ AG(3;F,159P) based on
- linear OOA(851, 64, F8, 3, 37) (dual of [(64, 3), 141, 38]-NRT-code), using algebraic-geometric NRT-code AG(3;F,154P) [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(846, 64, F8, 3, 32) (dual of [(64, 3), 146, 33]-NRT-code), using algebraic-geometric NRT-code AG(3;F,159P) [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(855, 67, F8, 3, 36) (dual of [(67, 3), 146, 37]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(2165, 201, F2, 3, 37) (dual of [(201, 3), 438, 38]-NRT-code) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(8147, 134, F8, 3, 74) (dual of [(134, 3), 255, 75]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(8149, 135, F8, 3, 74) (dual of [(135, 3), 256, 75]-NRT-code) | [i] | ||
| 5 | Linear OOA(8148, 134, F8, 3, 75) (dual of [(134, 3), 254, 76]-NRT-code) | [i] | ||
| 6 | Linear OOA(8150, 135, F8, 3, 75) (dual of [(135, 3), 255, 76]-NRT-code) | [i] | ||
| 7 | Linear OOA(8151, 136, F8, 3, 75) (dual of [(136, 3), 257, 76]-NRT-code) | [i] | ||