Information on Result #851301
Linear OOA(9114, 2391488, F9, 2, 19) (dual of [(2391488, 2), 4782862, 20]-NRT-code), using OOA 2-folding based on linear OA(9114, 4782976, F9, 19) (dual of [4782976, 4782862, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(9114, 4782977, F9, 19) (dual of [4782977, 4782863, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(9106, 4782969, F9, 17) (dual of [4782969, 4782863, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(91, 8, F9, 1) (dual of [8, 7, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(91, s, F9, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(16) [i] based on
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(3228, 4782976, F3, 2, 19) (dual of [(4782976, 2), 9565724, 20]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(9126, 2391516, F9, 2, 19) (dual of [(2391516, 2), 4782906, 20]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(9127, 2391518, F9, 2, 19) (dual of [(2391518, 2), 4782909, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(9114, 2391488, F9, 3, 19) (dual of [(2391488, 3), 7174350, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 5 | Digital (95, 114, 2391488)-net over F9 | [i] | ||