Information on Result #686560
Linear OA(8144, 262191, F8, 26) (dual of [262191, 262047, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) 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(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(811, 47, F8, 6) (dual of [47, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(811, 63, F8, 6) (dual of [63, 52, 7]-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(8145, 262192, F8, 26) (dual of [262192, 262047, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(8145, 262193, F8, 26) (dual of [262193, 262048, 27]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OOA(8144, 131095, F8, 2, 26) (dual of [(131095, 2), 262046, 27]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(8144, 87397, F8, 3, 26) (dual of [(87397, 3), 262047, 27]-NRT-code) | [i] | ||