Information on Result #822714
Linear OOA(473, 4194301, F4, 2, 9) (dual of [(4194301, 2), 8388529, 10]-NRT-code), using OOA 2-folding based on linear OA(473, 8388602, F4, 9) (dual of [8388602, 8388529, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(473, large, F4, 9) (dual of [large, large−73, 10]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 424−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (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(473, 4194301, F4, 2, 8) (dual of [(4194301, 2), 8388529, 9]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(475, 4194302, F4, 2, 9) (dual of [(4194302, 2), 8388529, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(474, 4194301, F4, 2, 9) (dual of [(4194301, 2), 8388528, 10]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(477, 4194306, F4, 2, 9) (dual of [(4194306, 2), 8388535, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(478, 4194311, F4, 2, 9) (dual of [(4194311, 2), 8388544, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(479, 4194322, F4, 2, 9) (dual of [(4194322, 2), 8388565, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(480, 4194344, F4, 2, 9) (dual of [(4194344, 2), 8388608, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(481, 4194386, F4, 2, 9) (dual of [(4194386, 2), 8388691, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(482, 4194472, F4, 2, 9) (dual of [(4194472, 2), 8388862, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(483, 4194642, F4, 2, 9) (dual of [(4194642, 2), 8389201, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(484, 4194984, F4, 2, 9) (dual of [(4194984, 2), 8389884, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(485, 4195666, F4, 2, 9) (dual of [(4195666, 2), 8391247, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(486, 4197032, F4, 2, 9) (dual of [(4197032, 2), 8393978, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(487, 4199762, F4, 2, 9) (dual of [(4199762, 2), 8399437, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(488, 4205224, F4, 2, 9) (dual of [(4205224, 2), 8410360, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(489, 4216146, F4, 2, 9) (dual of [(4216146, 2), 8432203, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(490, 4237992, F4, 2, 9) (dual of [(4237992, 2), 8475894, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(492, 4369064, F4, 2, 9) (dual of [(4369064, 2), 8738036, 10]-NRT-code) | [i] | ||
| 19 | Linear OOA(494, 4543826, F4, 2, 9) (dual of [(4543826, 2), 9087558, 10]-NRT-code) | [i] | ||
| 20 | Linear OOA(495, 4893352, F4, 2, 9) (dual of [(4893352, 2), 9786609, 10]-NRT-code) | [i] | ||
| 21 | Linear OOA(496, 5592402, F4, 2, 9) (dual of [(5592402, 2), 11184708, 10]-NRT-code) | [i] | ||
| 22 | Linear OOA(497, 6990504, F4, 2, 9) (dual of [(6990504, 2), 13980911, 10]-NRT-code) | [i] | ||
| 23 | Linear OOA(473, 4194301, F4, 3, 9) (dual of [(4194301, 3), 12582830, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 24 | Digital (64, 73, 4194301)-net over F4 | [i] | ||