Information on Result #686470
Linear OA(8146, 262157, F8, 28) (dual of [262157, 262011, 29]-code), using construction X applied to Ce(27) ⊂ Ce(25) based on
- linear OA(8145, 262144, F8, 28) (dual of [262144, 261999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(8133, 262144, F8, 26) (dual of [262144, 262011, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(81, 13, F8, 1) (dual of [13, 12, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(8146, 163914, F8, 2, 28) (dual of [(163914, 2), 327682, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(8146, 163914, F8, 3, 28) (dual of [(163914, 3), 491596, 29]-NRT-code) | [i] | ||
| 3 | Digital (118, 146, 163914)-net over F8 | [i] | ||
| 4 | Linear OOA(8146, 131078, F8, 2, 28) (dual of [(131078, 2), 262010, 29]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(8146, 87385, F8, 3, 28) (dual of [(87385, 3), 262009, 29]-NRT-code) | [i] | ||