Information on Result #822656
Linear OOA(472, 4194301, F4, 2, 8) (dual of [(4194301, 2), 8388530, 9]-NRT-code), using OOA 2-folding based on linear OA(472, 8388602, F4, 8) (dual of [8388602, 8388530, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(472, large, F4, 8) (dual of [large, large−72, 9]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(474, 4194302, F4, 2, 8) (dual of [(4194302, 2), 8388530, 9]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(476, 4194306, F4, 2, 8) (dual of [(4194306, 2), 8388536, 9]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(477, 4194311, F4, 2, 8) (dual of [(4194311, 2), 8388545, 9]-NRT-code) | [i] | ||
| 4 | Linear OOA(478, 4194322, F4, 2, 8) (dual of [(4194322, 2), 8388566, 9]-NRT-code) | [i] | ||
| 5 | Linear OOA(479, 4194344, F4, 2, 8) (dual of [(4194344, 2), 8388609, 9]-NRT-code) | [i] | ||
| 6 | Linear OOA(480, 4194386, F4, 2, 8) (dual of [(4194386, 2), 8388692, 9]-NRT-code) | [i] | ||
| 7 | Linear OOA(481, 4194472, F4, 2, 8) (dual of [(4194472, 2), 8388863, 9]-NRT-code) | [i] | ||
| 8 | Linear OOA(482, 4194642, F4, 2, 8) (dual of [(4194642, 2), 8389202, 9]-NRT-code) | [i] | ||
| 9 | Linear OOA(483, 4194984, F4, 2, 8) (dual of [(4194984, 2), 8389885, 9]-NRT-code) | [i] | ||
| 10 | Linear OOA(484, 4195666, F4, 2, 8) (dual of [(4195666, 2), 8391248, 9]-NRT-code) | [i] | ||
| 11 | Linear OOA(485, 4197032, F4, 2, 8) (dual of [(4197032, 2), 8393979, 9]-NRT-code) | [i] | ||