Information on Result #615069
Linear OA(8139, 262144, F8, 27) (dual of [262144, 262005, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27
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(8152, 262158, F8, 27) (dual of [262158, 262006, 28]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8153, 262160, F8, 27) (dual of [262160, 262007, 28]-code) | [i] | ||
| 3 | Linear OA(8154, 262162, F8, 27) (dual of [262162, 262008, 28]-code) | [i] | ||
| 4 | Linear OA(8155, 262168, F8, 27) (dual of [262168, 262013, 28]-code) | [i] | ||
| 5 | Linear OA(8156, 262171, F8, 27) (dual of [262171, 262015, 28]-code) | [i] | ||
| 6 | Linear OOA(8139, 140455, F8, 2, 27) (dual of [(140455, 2), 280771, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(8139, 140455, F8, 3, 27) (dual of [(140455, 3), 421226, 28]-NRT-code) | [i] | ||
| 8 | Digital (112, 139, 140455)-net over F8 | [i] | ||
| 9 | Linear OA(8145, 262150, F8, 28) (dual of [262150, 262005, 29]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(8139, 262150, F8, 27) (dual of [262150, 262011, 28]-code) | [i] | ✔ | |
| 11 | Linear OA(8152, 262157, F8, 29) (dual of [262157, 262005, 30]-code) | [i] | ✔ | |
| 12 | Linear OA(8140, 262157, F8, 27) (dual of [262157, 262017, 28]-code) | [i] | ✔ | |
| 13 | Linear OA(8160, 262165, F8, 30) (dual of [262165, 262005, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(8143, 262166, F8, 27) (dual of [262166, 262023, 28]-code) | [i] | ✔ | |
| 15 | Linear OA(8167, 262172, F8, 31) (dual of [262172, 262005, 32]-code) | [i] | ✔ | |
| 16 | Linear OA(8145, 262174, F8, 27) (dual of [262174, 262029, 28]-code) | [i] | ✔ | |
| 17 | Linear OA(8146, 262181, F8, 27) (dual of [262181, 262035, 28]-code) | [i] | ✔ | |
| 18 | Linear OA(8150, 262191, F8, 27) (dual of [262191, 262041, 28]-code) | [i] | ✔ | |
| 19 | Linear OA(8152, 262199, F8, 27) (dual of [262199, 262047, 28]-code) | [i] | ✔ | |
| 20 | Linear OA(8153, 262206, F8, 27) (dual of [262206, 262053, 28]-code) | [i] | ✔ | |
| 21 | Linear OA(8154, 262208, F8, 27) (dual of [262208, 262054, 28]-code) | [i] | ✔ | |
| 22 | Linear OA(8157, 262216, F8, 27) (dual of [262216, 262059, 28]-code) | [i] | ✔ | |
| 23 | Linear OA(8155, 262211, F8, 27) (dual of [262211, 262056, 28]-code) | [i] | ✔ | |
| 24 | Linear OA(8156, 262214, F8, 27) (dual of [262214, 262058, 28]-code) | [i] | ✔ | |
| 25 | Linear OA(8149, 262190, F8, 27) (dual of [262190, 262041, 28]-code) | [i] | ✔ | |
| 26 | Linear OA(8168, 262174, F8, 31) (dual of [262174, 262006, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 27 | Linear OA(8159, 262159, F8, 30) (dual of [262159, 262000, 31]-code) | [i] | ✔ | |
| 28 | Linear OA(8153, 262159, F8, 29) (dual of [262159, 262006, 30]-code) | [i] | ✔ | |
| 29 | Linear OA(8142, 262160, F8, 27) (dual of [262160, 262018, 28]-code) | [i] | ✔ | |
| 30 | Linear OA(8144, 262168, F8, 27) (dual of [262168, 262024, 28]-code) | [i] | ✔ | |