Information on Result #901944
Linear OOA(3282, 8388602, F32, 2, 12) (dual of [(8388602, 2), 16777122, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3226, 4194301, F32, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3226, 8388602, F32, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, large, F32, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(3226, large, F32, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(3226, 8388602, F32, 6) (dual of [8388602, 8388576, 7]-code), using
- linear OOA(3256, 4194301, F32, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3256, 8388602, F32, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(3256, large, F32, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(3256, 8388602, F32, 12) (dual of [8388602, 8388546, 13]-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(3284, large, F32, 2, 12) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3286, large, F32, 2, 12) | [i] | ||
| 3 | Linear OOA(3288, large, F32, 2, 12) | [i] | ||
| 4 | Linear OOA(3290, large, F32, 2, 12) | [i] | ||
| 5 | Linear OOA(3292, large, F32, 2, 12) | [i] | ||
| 6 | Linear OOA(3294, large, F32, 2, 12) | [i] | ||
| 7 | Linear OOA(3296, large, F32, 2, 12) | [i] | ||
| 8 | Linear OOA(3298, large, F32, 2, 12) | [i] | ||
| 9 | Linear OOA(32100, large, F32, 2, 12) | [i] | ||
| 10 | Linear OOA(32102, large, F32, 2, 12) | [i] | ||
| 11 | Linear OOA(32104, large, F32, 2, 12) | [i] | ||
| 12 | Linear OOA(32106, large, F32, 2, 12) | [i] | ||
| 13 | Linear OOA(32108, large, F32, 2, 12) | [i] | ||
| 14 | Linear OOA(32110, large, F32, 2, 12) | [i] | ||
| 15 | Linear OOA(3283, 8388602, F32, 2, 12) (dual of [(8388602, 2), 16777121, 13]-NRT-code) | [i] | OOA Duplication | |
| 16 | Linear OOA(3282, 2796200, F32, 14, 12) (dual of [(2796200, 14), 39146718, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |