Information on Result #812627
Linear OOA(361, 4194301, F3, 2, 7) (dual of [(4194301, 2), 8388541, 8]-NRT-code), using OOA 2-folding based on linear OA(361, 8388602, F3, 7) (dual of [8388602, 8388541, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(361, large, F3, 7) (dual of [large, large−61, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,3], and minimum distance d ≥ |{−3,−2,…,3}|+1 = 8 (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(361, 4194301, F3, 2, 6) (dual of [(4194301, 2), 8388541, 7]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | Linear OOA(363, 4194302, F3, 2, 7) (dual of [(4194302, 2), 8388541, 8]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 3 | Linear OOA(362, 4194301, F3, 2, 7) (dual of [(4194301, 2), 8388540, 8]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(364, 4194305, F3, 2, 7) (dual of [(4194305, 2), 8388546, 8]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(365, 4194311, F3, 2, 7) (dual of [(4194311, 2), 8388557, 8]-NRT-code) | [i] | ||
| 6 | Linear OOA(366, 4194321, F3, 2, 7) (dual of [(4194321, 2), 8388576, 8]-NRT-code) | [i] | ||
| 7 | Linear OOA(367, 4194357, F3, 2, 7) (dual of [(4194357, 2), 8388647, 8]-NRT-code) | [i] | ||
| 8 | Linear OOA(368, 4194413, F3, 2, 7) (dual of [(4194413, 2), 8388758, 8]-NRT-code) | [i] | ||
| 9 | Linear OOA(369, 4194549, F3, 2, 7) (dual of [(4194549, 2), 8389029, 8]-NRT-code) | [i] | ||
| 10 | Linear OOA(370, 4194833, F3, 2, 7) (dual of [(4194833, 2), 8389596, 8]-NRT-code) | [i] | ||
| 11 | Linear OOA(371, 4195517, F3, 2, 7) (dual of [(4195517, 2), 8390963, 8]-NRT-code) | [i] | ||
| 12 | Linear OOA(372, 4197045, F3, 2, 7) (dual of [(4197045, 2), 8394018, 8]-NRT-code) | [i] | ||
| 13 | Linear OOA(373, 4200765, F3, 2, 7) (dual of [(4200765, 2), 8401457, 8]-NRT-code) | [i] | ||
| 14 | Linear OOA(374, 4207613, F3, 2, 7) (dual of [(4207613, 2), 8415152, 8]-NRT-code) | [i] | ||
| 15 | Linear OOA(375, 4224765, F3, 2, 7) (dual of [(4224765, 2), 8449455, 8]-NRT-code) | [i] | ||
| 16 | Linear OOA(376, 4255229, F3, 2, 7) (dual of [(4255229, 2), 8510382, 8]-NRT-code) | [i] | ||
| 17 | Linear OOA(379, 4939773, F3, 2, 7) (dual of [(4939773, 2), 9879467, 8]-NRT-code) | [i] | ||
| 18 | Linear OOA(380, 5685245, F3, 2, 7) (dual of [(5685245, 2), 11370410, 8]-NRT-code) | [i] | ||
| 19 | Linear OOA(381, 7907325, F3, 2, 7) (dual of [(7907325, 2), 15814569, 8]-NRT-code) | [i] | ||
| 20 | Linear OOA(382, 8388602, F3, 2, 7) (dual of [(8388602, 2), 16777122, 8]-NRT-code) | [i] | ||
| 21 | Linear OOA(361, 4194301, F3, 3, 7) (dual of [(4194301, 3), 12582842, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 22 | Linear OOA(361, 4194301, F3, 4, 7) (dual of [(4194301, 4), 16777143, 8]-NRT-code) | [i] | ||
| 23 | Linear OOA(361, 4194301, F3, 5, 7) (dual of [(4194301, 5), 20971444, 8]-NRT-code) | [i] | ||
| 24 | Digital (54, 61, 4194301)-net over F3 | [i] | ||