Information on Result #686431
Linear OA(8169, 262144, F8, 33) (dual of [262144, 261975, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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(8169, 139008, F8, 2, 33) (dual of [(139008, 2), 277847, 34]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8169, 139008, F8, 3, 33) (dual of [(139008, 3), 416855, 34]-NRT-code) | [i] | ||
| 3 | Digital (136, 169, 139008)-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(8170, 262157, F8, 32) (dual of [262157, 261987, 33]-code) | [i] | ✔ | |
| 6 | Linear OA(8171, 262153, F8, 33) (dual of [262153, 261982, 34]-code) | [i] | ✔ | |
| 7 | Linear OA(8172, 262159, F8, 33) (dual of [262159, 261987, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(8173, 262166, F8, 33) (dual of [262166, 261993, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(8173, 262172, F8, 32) (dual of [262172, 261999, 33]-code) | [i] | ✔ | |
| 10 | Linear OA(8171, 262159, F8, 32) (dual of [262159, 261988, 33]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 11 | Linear OOA(8169, 131072, F8, 2, 33) (dual of [(131072, 2), 261975, 34]-NRT-code) | [i] | OOA Folding | |
| 12 | Linear OOA(8169, 87381, F8, 3, 33) (dual of [(87381, 3), 261974, 34]-NRT-code) | [i] | ||