Information on Result #686959
Linear OA(8111, 32828, F8, 22) (dual of [32828, 32717, 23]-code), using construction X applied to Ce(21) ⊂ Ce(11) based on
- linear OA(896, 32768, F8, 22) (dual of [32768, 32672, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(851, 32768, F8, 12) (dual of [32768, 32717, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 32767 = 85−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(815, 60, F8, 9) (dual of [60, 45, 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(8111, 16414, F8, 2, 22) (dual of [(16414, 2), 32717, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(8111, 10942, F8, 3, 22) (dual of [(10942, 3), 32715, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(8111, 2984, F8, 22, 22) (dual of [(2984, 22), 65537, 23]-NRT-code) | [i] | OA Folding and Stacking | |