Information on Result #869571
Linear OOA(3286, 4194301, F32, 2, 18) (dual of [(4194301, 2), 8388516, 19]-NRT-code), using OOA 2-folding based on linear OA(3286, 8388602, F32, 18) (dual of [8388602, 8388516, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3286, large, F32, 18) (dual of [large, large−86, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 33554431 = 325−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(3288, 4194302, F32, 2, 18) (dual of [(4194302, 2), 8388516, 19]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3290, 4194303, F32, 2, 18) (dual of [(4194303, 2), 8388516, 19]-NRT-code) | [i] | ||
| 3 | Linear OOA(3292, 4194304, F32, 2, 18) (dual of [(4194304, 2), 8388516, 19]-NRT-code) | [i] | ||
| 4 | Linear OOA(3294, 4194305, F32, 2, 18) (dual of [(4194305, 2), 8388516, 19]-NRT-code) | [i] | ||
| 5 | Linear OOA(3287, 4194301, F32, 2, 18) (dual of [(4194301, 2), 8388515, 19]-NRT-code) | [i] | OOA Duplication | |
| 6 | Linear OOA(3295, 4194334, F32, 2, 18) (dual of [(4194334, 2), 8388573, 19]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 7 | Linear OOA(3296, 4194345, F32, 2, 18) (dual of [(4194345, 2), 8388594, 19]-NRT-code) | [i] | ||
| 8 | Linear OOA(3298, 4194365, F32, 2, 18) (dual of [(4194365, 2), 8388632, 19]-NRT-code) | [i] | ||
| 9 | Linear OOA(3299, 4194367, F32, 2, 18) (dual of [(4194367, 2), 8388635, 19]-NRT-code) | [i] | ||
| 10 | Linear OOA(32100, 4194378, F32, 2, 18) (dual of [(4194378, 2), 8388656, 19]-NRT-code) | [i] | ||
| 11 | Linear OOA(32101, 4194389, F32, 2, 18) (dual of [(4194389, 2), 8388677, 19]-NRT-code) | [i] | ||
| 12 | Linear OOA(32102, 4194399, F32, 2, 18) (dual of [(4194399, 2), 8388696, 19]-NRT-code) | [i] | ||
| 13 | Linear OOA(32103, 4194814, F32, 2, 18) (dual of [(4194814, 2), 8389525, 19]-NRT-code) | [i] | ||
| 14 | Linear OOA(32104, 4194816, F32, 2, 18) (dual of [(4194816, 2), 8389528, 19]-NRT-code) | [i] | ||
| 15 | Linear OOA(32105, 4194817, F32, 2, 18) (dual of [(4194817, 2), 8389529, 19]-NRT-code) | [i] | ||
| 16 | Linear OOA(32106, 4194819, F32, 2, 18) (dual of [(4194819, 2), 8389532, 19]-NRT-code) | [i] | ||
| 17 | Linear OOA(32107, 4194847, F32, 2, 18) (dual of [(4194847, 2), 8389587, 19]-NRT-code) | [i] | ||
| 18 | Linear OOA(32108, 4194858, F32, 2, 18) (dual of [(4194858, 2), 8389608, 19]-NRT-code) | [i] | ||
| 19 | Linear OOA(32109, 4195310, F32, 2, 18) (dual of [(4195310, 2), 8390511, 19]-NRT-code) | [i] | ||
| 20 | Linear OOA(32110, 4195328, F32, 2, 18) (dual of [(4195328, 2), 8390546, 19]-NRT-code) | [i] | ||
| 21 | Linear OOA(32102, 4194400, F32, 2, 18) (dual of [(4194400, 2), 8388698, 19]-NRT-code) | [i] | ||
| 22 | Linear OOA(32109, 4195357, F32, 2, 18) (dual of [(4195357, 2), 8390605, 19]-NRT-code) | [i] | ||
| 23 | Linear OOA(32110, 4195368, F32, 2, 18) (dual of [(4195368, 2), 8390626, 19]-NRT-code) | [i] | ||