Information on Result #686581
Linear OA(8142, 262207, F8, 25) (dual of [262207, 262065, 26]-code), using construction X applied to Ce(24) ⊂ Ce(14) based on
- linear OA(8127, 262144, F8, 25) (dual of [262144, 262017, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(879, 262144, F8, 15) (dual of [262144, 262065, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 86−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(815, 63, F8, 9) (dual of [63, 48, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(815, 64, F8, 9) (dual of [64, 49, 10]-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(8142, 131103, F8, 2, 25) (dual of [(131103, 2), 262064, 26]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8142, 87402, F8, 3, 25) (dual of [(87402, 3), 262064, 26]-NRT-code) | [i] | ||