Information on Result #686536
Linear OA(867, 262174, F8, 12) (dual of [262174, 262107, 13]-code), using construction X applied to Ce(11) ⊂ Ce(6) based on
- linear OA(861, 262144, F8, 12) (dual of [262144, 262083, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(837, 262144, F8, 7) (dual of [262144, 262107, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(86, 30, F8, 4) (dual of [30, 24, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
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(867, 262174, F8, 2, 12) (dual of [(262174, 2), 524281, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(867, 262174, F8, 3, 12) (dual of [(262174, 3), 786455, 13]-NRT-code) | [i] | ||
| 3 | Digital (55, 67, 262174)-net over F8 | [i] | ||
| 4 | Linear OOA(867, 131087, F8, 2, 12) (dual of [(131087, 2), 262107, 13]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(867, 87391, F8, 3, 12) (dual of [(87391, 3), 262106, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(867, 43695, F8, 12, 12) (dual of [(43695, 12), 524273, 13]-NRT-code) | [i] | OA Folding and Stacking | |