Information on Result #615095
Linear OA(8157, 262144, F8, 30) (dual of [262144, 261987, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30
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(8172, 262160, F8, 30) (dual of [262160, 261988, 31]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(8173, 262162, F8, 30) (dual of [262162, 261989, 31]-code) | [i] | ||
| 3 | Linear OOA(8157, 173527, F8, 2, 30) (dual of [(173527, 2), 346897, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(8157, 173527, F8, 3, 30) (dual of [(173527, 3), 520424, 31]-NRT-code) | [i] | ||
| 5 | Digital (127, 157, 173527)-net over F8 | [i] | ||
| 6 | Linear OA(8163, 262150, F8, 31) (dual of [262150, 261987, 32]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 7 | Linear OA(8157, 262150, F8, 30) (dual of [262150, 261993, 31]-code) | [i] | ✔ | |
| 8 | Linear OA(8170, 262157, F8, 32) (dual of [262157, 261987, 33]-code) | [i] | ✔ | |
| 9 | Linear OA(8171, 262153, F8, 33) (dual of [262153, 261982, 34]-code) | [i] | ✔ | |
| 10 | Linear OA(8172, 262159, F8, 33) (dual of [262159, 261987, 34]-code) | [i] | ✔ | |
| 11 | Linear OA(8158, 262157, F8, 30) (dual of [262157, 261999, 31]-code) | [i] | ✔ | |
| 12 | Linear OA(8160, 262165, F8, 30) (dual of [262165, 262005, 31]-code) | [i] | ✔ | |
| 13 | Linear OA(8161, 262172, F8, 30) (dual of [262172, 262011, 31]-code) | [i] | ✔ | |
| 14 | Linear OA(8163, 262180, F8, 30) (dual of [262180, 262017, 31]-code) | [i] | ✔ | |
| 15 | Linear OA(8168, 262191, F8, 30) (dual of [262191, 262023, 31]-code) | [i] | ✔ | |
| 16 | Linear OA(8170, 262199, F8, 30) (dual of [262199, 262029, 31]-code) | [i] | ✔ | |
| 17 | Linear OA(8171, 262206, F8, 30) (dual of [262206, 262035, 31]-code) | [i] | ✔ | |
| 18 | Linear OA(8172, 262208, F8, 30) (dual of [262208, 262036, 31]-code) | [i] | ✔ | |
| 19 | Linear OA(8173, 262211, F8, 30) (dual of [262211, 262038, 31]-code) | [i] | ✔ | |
| 20 | Linear OA(8171, 262159, F8, 32) (dual of [262159, 261988, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 21 | Linear OA(8159, 262159, F8, 30) (dual of [262159, 262000, 31]-code) | [i] | ✔ | |
| 22 | Linear OA(8162, 262174, F8, 30) (dual of [262174, 262012, 31]-code) | [i] | ✔ | |
| 23 | Linear OOA(8157, 17476, F8, 30, 30) (dual of [(17476, 30), 524123, 31]-NRT-code) | [i] | OA Folding and Stacking | |