Information on Result #615089
Linear OA(8151, 262144, F8, 29) (dual of [262144, 261993, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29
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(8165, 262159, F8, 29) (dual of [262159, 261994, 30]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8166, 262161, F8, 29) (dual of [262161, 261995, 30]-code) | [i] | ||
| 3 | Linear OA(8167, 262163, F8, 29) (dual of [262163, 261996, 30]-code) | [i] | ||
| 4 | Linear OA(8168, 262168, F8, 29) (dual of [262168, 262000, 30]-code) | [i] | ||
| 5 | Linear OA(8169, 262170, F8, 29) (dual of [262170, 262001, 30]-code) | [i] | ||
| 6 | Linear OOA(8151, 162342, F8, 2, 29) (dual of [(162342, 2), 324533, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 7 | Linear OOA(8151, 162342, F8, 3, 29) (dual of [(162342, 3), 486875, 30]-NRT-code) | [i] | ||
| 8 | Digital (122, 151, 162342)-net over F8 | [i] | ||
| 9 | Linear OA(8157, 262150, F8, 30) (dual of [262150, 261993, 31]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 10 | Linear OA(8151, 262150, F8, 29) (dual of [262150, 261999, 30]-code) | [i] | ✔ | |
| 11 | Linear OA(8164, 262157, F8, 31) (dual of [262157, 261993, 32]-code) | [i] | ✔ | |
| 12 | Linear OA(8152, 262157, F8, 29) (dual of [262157, 262005, 30]-code) | [i] | ✔ | |
| 13 | Linear OA(8173, 262166, F8, 33) (dual of [262166, 261993, 34]-code) | [i] | ✔ | |
| 14 | Linear OA(8154, 262165, F8, 29) (dual of [262165, 262011, 30]-code) | [i] | ✔ | |
| 15 | Linear OA(8155, 262172, F8, 29) (dual of [262172, 262017, 30]-code) | [i] | ✔ | |
| 16 | Linear OA(8158, 262181, F8, 29) (dual of [262181, 262023, 30]-code) | [i] | ✔ | |
| 17 | Linear OA(8162, 262191, F8, 29) (dual of [262191, 262029, 30]-code) | [i] | ✔ | |
| 18 | Linear OA(8164, 262199, F8, 29) (dual of [262199, 262035, 30]-code) | [i] | ✔ | |
| 19 | Linear OA(8165, 262206, F8, 29) (dual of [262206, 262041, 30]-code) | [i] | ✔ | |
| 20 | Linear OA(8166, 262208, F8, 29) (dual of [262208, 262042, 30]-code) | [i] | ✔ | |
| 21 | Linear OA(8169, 262216, F8, 29) (dual of [262216, 262047, 30]-code) | [i] | ✔ | |
| 22 | Linear OA(8167, 262211, F8, 29) (dual of [262211, 262044, 30]-code) | [i] | ✔ | |
| 23 | Linear OA(8168, 262214, F8, 29) (dual of [262214, 262046, 30]-code) | [i] | ✔ | |
| 24 | Linear OA(8161, 262190, F8, 29) (dual of [262190, 262029, 30]-code) | [i] | ✔ | |
| 25 | Linear OA(8171, 262159, F8, 32) (dual of [262159, 261988, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 26 | Linear OA(8165, 262159, F8, 31) (dual of [262159, 261994, 32]-code) | [i] | ✔ | |
| 27 | Linear OA(8153, 262159, F8, 29) (dual of [262159, 262006, 30]-code) | [i] | ✔ | |
| 28 | Linear OA(8157, 262175, F8, 29) (dual of [262175, 262018, 30]-code) | [i] | ✔ | |
| 29 | Linear OOA(8151, 18724, F8, 29, 29) (dual of [(18724, 29), 542845, 30]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |