Information on Result #687415
Linear OA(8161, 4160, F8, 41) (dual of [4160, 3999, 42]-code), using construction X applied to Ce(40) ⊂ Ce(27) based on
- linear OA(8141, 4096, F8, 41) (dual of [4096, 3955, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- linear OA(897, 4096, F8, 28) (dual of [4096, 3999, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(820, 64, F8, 12) (dual of [64, 44, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
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(8161, 2080, F8, 2, 41) (dual of [(2080, 2), 3999, 42]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8161, 1386, F8, 3, 41) (dual of [(1386, 3), 3997, 42]-NRT-code) | [i] | ||