Information on Result #737901
Linear OA(9146, 4783030, F9, 22) (dual of [4783030, 4782884, 23]-code), using construction X applied to Ce(21) ⊂ Ce(13) based on
- linear OA(9134, 4782969, F9, 22) (dual of [4782969, 4782835, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(912, 61, F9, 7) (dual of [61, 49, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(912, 67, F9, 7) (dual of [67, 55, 8]-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 OA(9148, 4783032, F9, 22) (dual of [4783032, 4782884, 23]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(9146, 4783030, F9, 2, 22) (dual of [(4783030, 2), 9565914, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 3 | Linear OOA(9146, 4783030, F9, 3, 22) (dual of [(4783030, 3), 14348944, 23]-NRT-code) | [i] | ||
| 4 | Digital (124, 146, 4783030)-net over F9 | [i] | ||
| 5 | Linear OOA(9146, 2391515, F9, 2, 22) (dual of [(2391515, 2), 4782884, 23]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(9146, 1594343, F9, 3, 22) (dual of [(1594343, 3), 4782883, 23]-NRT-code) | [i] | ||