Information on Result #615058
Linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26
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(8146, 262158, F8, 26) (dual of [262158, 262012, 27]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8147, 262160, F8, 26) (dual of [262160, 262013, 27]-code) | [i] | ||
| 3 | Linear OA(8148, 262162, F8, 26) (dual of [262162, 262014, 27]-code) | [i] | ||
| 4 | Linear OA(8149, 262168, F8, 26) (dual of [262168, 262019, 27]-code) | [i] | ||
| 5 | Linear OA(8150, 262171, F8, 26) (dual of [262171, 262021, 27]-code) | [i] | ||
| 6 | Linear OA(8150, 262162, F8, 26) (dual of [262162, 262012, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 7 | Linear OA(8139, 262150, F8, 27) (dual of [262150, 262011, 28]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(8133, 262150, F8, 26) (dual of [262150, 262017, 27]-code) | [i] | ✔ | |
| 9 | Linear OA(8146, 262157, F8, 28) (dual of [262157, 262011, 29]-code) | [i] | ✔ | |
| 10 | Linear OA(8135, 262153, F8, 26) (dual of [262153, 262018, 27]-code) | [i] | ✔ | |
| 11 | Linear OA(8136, 262159, F8, 26) (dual of [262159, 262023, 27]-code) | [i] | ✔ | |
| 12 | Linear OA(8154, 262165, F8, 29) (dual of [262165, 262011, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(8137, 262166, F8, 26) (dual of [262166, 262029, 27]-code) | [i] | ✔ | |
| 14 | Linear OA(8161, 262172, F8, 30) (dual of [262172, 262011, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(8139, 262174, F8, 26) (dual of [262174, 262035, 27]-code) | [i] | ✔ | |
| 16 | Linear OA(8169, 262180, F8, 31) (dual of [262180, 262011, 32]-code) | [i] | ✔ | |
| 17 | Linear OA(8140, 262181, F8, 26) (dual of [262181, 262041, 27]-code) | [i] | ✔ | |
| 18 | Linear OA(8144, 262191, F8, 26) (dual of [262191, 262047, 27]-code) | [i] | ✔ | |
| 19 | Linear OA(8146, 262199, F8, 26) (dual of [262199, 262053, 27]-code) | [i] | ✔ | |
| 20 | Linear OA(8147, 262206, F8, 26) (dual of [262206, 262059, 27]-code) | [i] | ✔ | |
| 21 | Linear OA(8149, 262209, F8, 26) (dual of [262209, 262060, 27]-code) | [i] | ✔ | |
| 22 | Linear OA(8151, 262213, F8, 26) (dual of [262213, 262062, 27]-code) | [i] | ✔ | |
| 23 | Linear OA(8143, 262190, F8, 26) (dual of [262190, 262047, 27]-code) | [i] | ✔ | |
| 24 | Linear OA(8145, 262198, F8, 26) (dual of [262198, 262053, 27]-code) | [i] | ✔ | |
| 25 | Linear OA(8168, 262174, F8, 31) (dual of [262174, 262006, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(8162, 262174, F8, 30) (dual of [262174, 262012, 31]-code) | [i] | ✔ | |
| 27 | Linear OA(8153, 262159, F8, 29) (dual of [262159, 262006, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(8147, 262159, F8, 28) (dual of [262159, 262012, 29]-code) | [i] | ✔ | |
| 29 | Linear OA(8138, 262168, F8, 26) (dual of [262168, 262030, 27]-code) | [i] | ✔ | |