Information on Result #686579
Linear OA(8153, 262206, F8, 27) (dual of [262206, 262053, 28]-code), using construction X applied to Ce(26) ⊂ Ce(17) based on
- linear OA(8139, 262144, F8, 27) (dual of [262144, 262005, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(891, 262144, F8, 18) (dual of [262144, 262053, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [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(8153, 131103, F8, 2, 27) (dual of [(131103, 2), 262053, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8153, 87402, F8, 3, 27) (dual of [(87402, 3), 262053, 28]-NRT-code) | [i] | ||