Information on Result #686578
Linear OA(8159, 262206, F8, 28) (dual of [262206, 262047, 29]-code), using construction X applied to Ce(27) ⊂ Ce(18) 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(897, 262144, F8, 19) (dual of [262144, 262047, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(814, 62, F8, 8) (dual of [62, 48, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(814, 63, F8, 8) (dual of [63, 49, 9]-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(8159, 131103, F8, 2, 28) (dual of [(131103, 2), 262047, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8159, 87402, F8, 3, 28) (dual of [(87402, 3), 262047, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(8159, 18729, F8, 28, 28) (dual of [(18729, 28), 524253, 29]-NRT-code) | [i] | OA Folding and Stacking | |