Information on Result #901836
Linear OOA(3252, 8388602, F32, 2, 8) (dual of [(8388602, 2), 16777152, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(3216, 4194301, F32, 2, 4) (dual of [(4194301, 2), 8388586, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3216, 8388602, F32, 4) (dual of [8388602, 8388586, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, large, F32, 4) (dual of [large, large−16, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(3216, large, F32, 4) (dual of [large, large−16, 5]-code), using
- OOA 2-folding [i] based on linear OA(3216, 8388602, F32, 4) (dual of [8388602, 8388586, 5]-code), using
- linear OOA(3236, 4194301, F32, 2, 8) (dual of [(4194301, 2), 8388566, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3236, 8388602, F32, 8) (dual of [8388602, 8388566, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(3236, large, F32, 8) (dual of [large, large−36, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(3236, large, F32, 8) (dual of [large, large−36, 9]-code), using
- OOA 2-folding [i] based on linear OA(3236, 8388602, F32, 8) (dual of [8388602, 8388566, 9]-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(3254, large, F32, 2, 8) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3256, large, F32, 2, 8) | [i] | ||
| 3 | Linear OOA(3258, large, F32, 2, 8) | [i] | ||
| 4 | Linear OOA(3260, large, F32, 2, 8) | [i] | ||
| 5 | Linear OOA(3262, large, F32, 2, 8) | [i] | ||
| 6 | Linear OOA(3264, large, F32, 2, 8) | [i] | ||
| 7 | Linear OOA(3266, large, F32, 2, 8) | [i] | ||
| 8 | Linear OOA(3268, large, F32, 2, 8) | [i] | ||
| 9 | Linear OOA(3270, large, F32, 2, 8) | [i] | ||
| 10 | Linear OOA(3272, large, F32, 2, 8) | [i] | ||
| 11 | Linear OOA(3274, large, F32, 2, 8) | [i] | ||
| 12 | Linear OOA(3276, large, F32, 2, 8) | [i] | ||
| 13 | Linear OOA(3278, large, F32, 2, 8) | [i] | ||
| 14 | Linear OOA(3280, large, F32, 2, 8) | [i] | ||
| 15 | Linear OOA(3282, large, F32, 2, 8) | [i] | ||
| 16 | Linear OOA(3284, large, F32, 2, 8) | [i] | ||
| 17 | Linear OOA(3286, large, F32, 2, 8) | [i] | ||
| 18 | Linear OOA(3288, large, F32, 2, 8) | [i] | ||
| 19 | Linear OOA(3290, large, F32, 2, 8) | [i] | ||
| 20 | Linear OOA(3292, large, F32, 2, 8) | [i] | ||
| 21 | Linear OOA(3294, large, F32, 2, 8) | [i] | ||
| 22 | Linear OOA(3296, large, F32, 2, 8) | [i] | ||
| 23 | Linear OOA(3298, large, F32, 2, 8) | [i] | ||
| 24 | Linear OOA(32100, large, F32, 2, 8) | [i] | ||
| 25 | Linear OOA(32102, large, F32, 2, 8) | [i] | ||
| 26 | Linear OOA(32104, large, F32, 2, 8) | [i] | ||
| 27 | Linear OOA(32106, large, F32, 2, 8) | [i] | ||
| 28 | Linear OOA(32108, large, F32, 2, 8) | [i] | ||
| 29 | Linear OOA(32110, large, F32, 2, 8) | [i] | ||
| 30 | Linear OOA(3253, 8388602, F32, 2, 8) (dual of [(8388602, 2), 16777151, 9]-NRT-code) | [i] | OOA Duplication | |
| 31 | Linear OOA(3252, 4194300, F32, 10, 8) (dual of [(4194300, 10), 41942948, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |