Information on Result #689056
Linear OA(9117, 4783001, F9, 18) (dual of [4783001, 4782884, 19]-code), using construction X applied to Ce(18) ⊂ Ce(13) 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(985, 4782969, F9, 14) (dual of [4782969, 4782884, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(94, 32, F9, 3) (dual of [32, 28, 4]-code or 32-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(9117, 4783001, F9, 2, 18) (dual of [(4783001, 2), 9565885, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(9117, 4783001, F9, 3, 18) (dual of [(4783001, 3), 14348886, 19]-NRT-code) | [i] | ||
| 3 | Digital (99, 117, 4783001)-net over F9 | [i] | ||
| 4 | Linear OA(9118, 4783003, F9, 18) (dual of [4783003, 4782885, 19]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OOA(9117, 2391500, F9, 2, 18) (dual of [(2391500, 2), 4782883, 19]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9117, 1594333, F9, 3, 18) (dual of [(1594333, 3), 4782882, 19]-NRT-code) | [i] | ||
| 7 | Linear OOA(9117, 531444, F9, 18, 18) (dual of [(531444, 18), 9565875, 19]-NRT-code) | [i] | OA Folding and Stacking | |