Information on Result #2254125
Linear OA(9116, 4782993, F9, 18) (dual of [4782993, 4782877, 19]-code), using 1 times truncation based on linear OA(9117, 4782994, F9, 19) (dual of [4782994, 4782877, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [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(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), 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(9116, 4782993, F9, 2, 18) (dual of [(4782993, 2), 9565870, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9116, 4782993, F9, 3, 18) (dual of [(4782993, 3), 14348863, 19]-NRT-code) | [i] | ||
| 3 | Digital (98, 116, 4782993)-net over F9 | [i] | ||
| 4 | Linear OOA(9116, 2391496, F9, 2, 18) (dual of [(2391496, 2), 4782876, 19]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(9116, 1594331, F9, 3, 18) (dual of [(1594331, 3), 4782877, 19]-NRT-code) | [i] | ||
| 6 | Linear OOA(9116, 531443, F9, 18, 18) (dual of [(531443, 18), 9565858, 19]-NRT-code) | [i] | OA Folding and Stacking | |