Information on Result #615101
Linear OA(8163, 262144, F8, 31) (dual of [262144, 261981, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31
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 OOA(8163, 184855, F8, 2, 31) (dual of [(184855, 2), 369547, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8163, 184855, F8, 3, 31) (dual of [(184855, 3), 554402, 32]-NRT-code) | [i] | ||
| 3 | Digital (132, 163, 184855)-net over F8 | [i] | ||
| 4 | Linear OA(8170, 262151, F8, 33) (dual of [262151, 261981, 34]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(8163, 262150, F8, 31) (dual of [262150, 261987, 32]-code) | [i] | ✔ | |
| 6 | Linear OA(8164, 262157, F8, 31) (dual of [262157, 261993, 32]-code) | [i] | ✔ | |
| 7 | Linear OA(8166, 262165, F8, 31) (dual of [262165, 261999, 32]-code) | [i] | ✔ | |
| 8 | Linear OA(8167, 262172, F8, 31) (dual of [262172, 262005, 32]-code) | [i] | ✔ | |
| 9 | Linear OA(8169, 262180, F8, 31) (dual of [262180, 262011, 32]-code) | [i] | ✔ | |
| 10 | Linear OA(8170, 262187, F8, 31) (dual of [262187, 262017, 32]-code) | [i] | ✔ | |
| 11 | Linear OA(8165, 262159, F8, 31) (dual of [262159, 261994, 32]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(8168, 262174, F8, 31) (dual of [262174, 262006, 32]-code) | [i] | ✔ | |
| 13 | Linear OOA(8163, 17476, F8, 31, 31) (dual of [(17476, 31), 541593, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |