Information on Result #869391
Linear OOA(3271, 4194301, F32, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using OOA 2-folding based on linear OA(3271, 8388602, F32, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3271, large, F32, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 33554433 | 3210−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
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(3273, 4194302, F32, 2, 15) (dual of [(4194302, 2), 8388531, 16]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3275, 4194303, F32, 2, 15) (dual of [(4194303, 2), 8388531, 16]-NRT-code) | [i] | ||
| 3 | Linear OOA(3277, 4194304, F32, 2, 15) (dual of [(4194304, 2), 8388531, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(3272, 4194301, F32, 2, 15) (dual of [(4194301, 2), 8388530, 16]-NRT-code) | [i] | OOA Duplication | |
| 5 | Linear OOA(3278, 4194334, F32, 2, 15) (dual of [(4194334, 2), 8388590, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 6 | Linear OOA(3279, 4194345, F32, 2, 15) (dual of [(4194345, 2), 8388611, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(3281, 4194367, F32, 2, 15) (dual of [(4194367, 2), 8388653, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(3282, 4194378, F32, 2, 15) (dual of [(4194378, 2), 8388674, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(3283, 4194389, F32, 2, 15) (dual of [(4194389, 2), 8388695, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(3284, 4194814, F32, 2, 15) (dual of [(4194814, 2), 8389544, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(3285, 4194816, F32, 2, 15) (dual of [(4194816, 2), 8389547, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(3286, 4194817, F32, 2, 15) (dual of [(4194817, 2), 8389548, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(3287, 4194847, F32, 2, 15) (dual of [(4194847, 2), 8389607, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(3288, 4195327, F32, 2, 15) (dual of [(4195327, 2), 8390566, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(3289, 4195331, F32, 2, 15) (dual of [(4195331, 2), 8390573, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(3290, 4210686, F32, 2, 15) (dual of [(4210686, 2), 8421282, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(3291, 4210689, F32, 2, 15) (dual of [(4210689, 2), 8421287, 16]-NRT-code) | [i] | ||
| 18 | Linear OOA(3292, 4210690, F32, 2, 15) (dual of [(4210690, 2), 8421288, 16]-NRT-code) | [i] | ||
| 19 | Linear OOA(3293, 4210719, F32, 2, 15) (dual of [(4210719, 2), 8421345, 16]-NRT-code) | [i] | ||
| 20 | Linear OOA(3294, 4211711, F32, 2, 15) (dual of [(4211711, 2), 8423328, 16]-NRT-code) | [i] | ||
| 21 | Linear OOA(3295, 4213822, F32, 2, 15) (dual of [(4213822, 2), 8427549, 16]-NRT-code) | [i] | ||
| 22 | Linear OOA(3296, 4718591, F32, 2, 15) (dual of [(4718591, 2), 9437086, 16]-NRT-code) | [i] | ||
| 23 | Linear OOA(3297, 4718594, F32, 2, 15) (dual of [(4718594, 2), 9437091, 16]-NRT-code) | [i] | ||
| 24 | Linear OOA(3298, 4718596, F32, 2, 15) (dual of [(4718596, 2), 9437094, 16]-NRT-code) | [i] | ||
| 25 | Linear OOA(3299, 4718624, F32, 2, 15) (dual of [(4718624, 2), 9437149, 16]-NRT-code) | [i] | ||
| 26 | Linear OOA(32100, 4719616, F32, 2, 15) (dual of [(4719616, 2), 9439132, 16]-NRT-code) | [i] | ||
| 27 | Linear OOA(32101, 4721727, F32, 2, 15) (dual of [(4721727, 2), 9443353, 16]-NRT-code) | [i] | ||
| 28 | Linear OOA(32102, 8388602, F32, 2, 15) (dual of [(8388602, 2), 16777102, 16]-NRT-code) | [i] | ||
| 29 | Linear OOA(3283, 4194400, F32, 2, 15) (dual of [(4194400, 2), 8388717, 16]-NRT-code) | [i] | ||
| 30 | Linear OOA(3287, 4195357, F32, 2, 15) (dual of [(4195357, 2), 8390627, 16]-NRT-code) | [i] | ||
| 31 | Linear OOA(3288, 4195368, F32, 2, 15) (dual of [(4195368, 2), 8390648, 16]-NRT-code) | [i] | ||
| 32 | Linear OOA(3289, 4195379, F32, 2, 15) (dual of [(4195379, 2), 8390669, 16]-NRT-code) | [i] | ||