Information on Result #1083896
Linear OOA(25664, 4194302, F256, 4, 15) (dual of [(4194302, 4), 16777144, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25619, 2796200, F256, 4, 7) (dual of [(2796200, 4), 11184781, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(25619, 8388601, F256, 7) (dual of [8388601, 8388582, 8]-code), using
- linear OOA(25645, 2097151, F256, 4, 15) (dual of [(2097151, 4), 8388559, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(25645, 4194302, F256, 2, 15) (dual of [(4194302, 2), 8388559, 16]-NRT-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- OOA 2-folding [i] based on linear OA(25643, 8388602, F256, 15) (dual of [8388602, 8388559, 16]-code), using
- 1 times NRT-code embedding in larger space [i] based on linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(25645, 4194302, F256, 2, 15) (dual of [(4194302, 2), 8388559, 16]-NRT-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(25665, 4194302, F256, 4, 15) (dual of [(4194302, 4), 16777143, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25666, 4194302, F256, 4, 15) (dual of [(4194302, 4), 16777142, 16]-NRT-code) | [i] | ||