Information on Result #615719
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
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(9145, 4782981, F9, 22) (dual of [4782981, 4782836, 23]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(9146, 4782985, F9, 22) (dual of [4782985, 4782839, 23]-code) | [i] | ||
| 3 | Linear OA(9147, 4782989, F9, 22) (dual of [4782989, 4782842, 23]-code) | [i] | ||
| 4 | Linear OA(9148, 4782997, F9, 22) (dual of [4782997, 4782849, 23]-code) | [i] | ||
| 5 | Linear OA(9149, 4782999, F9, 22) (dual of [4782999, 4782850, 23]-code) | [i] | ||
| 6 | Linear OA(9150, 4783001, F9, 22) (dual of [4783001, 4782851, 23]-code) | [i] | ||
| 7 | Linear OA(9149, 4782985, F9, 22) (dual of [4782985, 4782836, 23]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 8 | Linear OA(9150, 4782987, F9, 22) (dual of [4782987, 4782837, 23]-code) | [i] | ||
| 9 | Linear OA(9141, 4782976, F9, 23) (dual of [4782976, 4782835, 24]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(9134, 4782976, F9, 22) (dual of [4782976, 4782842, 23]-code) | [i] | ✔ | |
| 11 | Linear OA(9149, 4782984, F9, 24) (dual of [4782984, 4782835, 25]-code) | [i] | ✔ | |
| 12 | Linear OA(9135, 4782984, F9, 22) (dual of [4782984, 4782849, 23]-code) | [i] | ✔ | |
| 13 | Linear OA(9137, 4782993, F9, 22) (dual of [4782993, 4782856, 23]-code) | [i] | ✔ | |
| 14 | Linear OA(9140, 4783003, F9, 22) (dual of [4783003, 4782863, 23]-code) | [i] | ✔ | |
| 15 | Linear OA(9141, 4783011, F9, 22) (dual of [4783011, 4782870, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(9145, 4783022, F9, 22) (dual of [4783022, 4782877, 23]-code) | [i] | ✔ | |
| 17 | Linear OA(9147, 4783031, F9, 22) (dual of [4783031, 4782884, 23]-code) | [i] | ✔ | |
| 18 | Linear OA(9149, 4783040, F9, 22) (dual of [4783040, 4782891, 23]-code) | [i] | ✔ | |
| 19 | Linear OA(9150, 4783048, F9, 22) (dual of [4783048, 4782898, 23]-code) | [i] | ✔ | |
| 20 | Linear OA(9146, 4783030, F9, 22) (dual of [4783030, 4782884, 23]-code) | [i] | ✔ | |
| 21 | Linear OA(9144, 4783021, F9, 22) (dual of [4783021, 4782877, 23]-code) | [i] | ✔ | |
| 22 | Linear OA(9150, 4782986, F9, 24) (dual of [4782986, 4782836, 25]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 23 | Linear OA(9136, 4782986, F9, 22) (dual of [4782986, 4782850, 23]-code) | [i] | ✔ | |
| 24 | Linear OA(9139, 4782996, F9, 22) (dual of [4782996, 4782857, 23]-code) | [i] | ✔ | |