Information on Result #896650
Linear OOA(8161, 4194333, F8, 2, 21) (dual of [(4194333, 2), 8388505, 22]-NRT-code), using (u, u+v)-construction based on
- linear OOA(816, 32, F8, 2, 10) (dual of [(32, 2), 48, 11]-NRT-code), using
- OOA 2-folding [i] based on linear OA(816, 64, F8, 10) (dual of [64, 48, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- OOA 2-folding [i] based on linear OA(816, 64, F8, 10) (dual of [64, 48, 11]-code), using
- linear OOA(8145, 4194301, F8, 2, 21) (dual of [(4194301, 2), 8388457, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F8, 21) (dual of [8388602, 8388457, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(8145, large, F8, 21) (dual of [large, large−145, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 816−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8145, large, F8, 21) (dual of [large, large−145, 22]-code), using
- OOA 2-folding [i] based on linear OA(8145, 8388602, F8, 21) (dual of [8388602, 8388457, 22]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m 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, 838866, F8, 22, 21) (dual of [(838866, 22), 18454891, 22]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |