Information on Result #686580
Linear OA(8147, 262206, F8, 26) (dual of [262206, 262059, 27]-code), using construction X applied to Ce(25) ⊂ Ce(16) based on
- 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(885, 262144, F8, 17) (dual of [262144, 262059, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [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 OA(8148, 262207, F8, 26) (dual of [262207, 262059, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(8147, 131103, F8, 2, 26) (dual of [(131103, 2), 262059, 27]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(8147, 87402, F8, 3, 26) (dual of [(87402, 3), 262059, 27]-NRT-code) | [i] | ||