Information on Result #812734
Linear OOA(390, 4194301, F3, 2, 9) (dual of [(4194301, 2), 8388512, 10]-NRT-code), using OOA 2-folding based on linear OA(390, 8388602, F3, 9) (dual of [8388602, 8388512, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(390, large, F3, 9) (dual of [large, large−90, 10]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [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(392, 4194302, F3, 2, 9) (dual of [(4194302, 2), 8388512, 10]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(394, 4194305, F3, 2, 9) (dual of [(4194305, 2), 8388516, 10]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(395, 4194309, F3, 2, 9) (dual of [(4194309, 2), 8388523, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(396, 4194315, F3, 2, 9) (dual of [(4194315, 2), 8388534, 10]-NRT-code) | [i] | ||
| 5 | Linear OOA(397, 4194327, F3, 2, 9) (dual of [(4194327, 2), 8388557, 10]-NRT-code) | [i] | ||
| 6 | Linear OOA(398, 4194342, F3, 2, 9) (dual of [(4194342, 2), 8388586, 10]-NRT-code) | [i] | ||
| 7 | Linear OOA(399, 4194381, F3, 2, 9) (dual of [(4194381, 2), 8388663, 10]-NRT-code) | [i] | ||
| 8 | Linear OOA(3100, 4194422, F3, 2, 9) (dual of [(4194422, 2), 8388744, 10]-NRT-code) | [i] | ||
| 9 | Linear OOA(3101, 4194543, F3, 2, 9) (dual of [(4194543, 2), 8388985, 10]-NRT-code) | [i] | ||
| 10 | Linear OOA(3102, 4194666, F3, 2, 9) (dual of [(4194666, 2), 8389230, 10]-NRT-code) | [i] | ||
| 11 | Linear OOA(3103, 4195029, F3, 2, 9) (dual of [(4195029, 2), 8389955, 10]-NRT-code) | [i] | ||
| 12 | Linear OOA(3104, 4195394, F3, 2, 9) (dual of [(4195394, 2), 8390684, 10]-NRT-code) | [i] | ||
| 13 | Linear OOA(3105, 4196487, F3, 2, 9) (dual of [(4196487, 2), 8392869, 10]-NRT-code) | [i] | ||
| 14 | Linear OOA(3106, 4197582, F3, 2, 9) (dual of [(4197582, 2), 8395058, 10]-NRT-code) | [i] | ||
| 15 | Linear OOA(3107, 4200861, F3, 2, 9) (dual of [(4200861, 2), 8401615, 10]-NRT-code) | [i] | ||
| 16 | Linear OOA(3108, 4204142, F3, 2, 9) (dual of [(4204142, 2), 8408176, 10]-NRT-code) | [i] | ||
| 17 | Linear OOA(3109, 4213983, F3, 2, 9) (dual of [(4213983, 2), 8427857, 10]-NRT-code) | [i] | ||
| 18 | Linear OOA(3110, 4223826, F3, 2, 9) (dual of [(4223826, 2), 8447542, 10]-NRT-code) | [i] | ||
| 19 | Linear OOA(3111, 4253349, F3, 2, 9) (dual of [(4253349, 2), 8506587, 10]-NRT-code) | [i] | ||
| 20 | Linear OOA(3116, 4991462, F3, 2, 9) (dual of [(4991462, 2), 9982808, 10]-NRT-code) | [i] | ||
| 21 | Linear OOA(3117, 5788623, F3, 2, 9) (dual of [(5788623, 2), 11577129, 10]-NRT-code) | [i] | ||
| 22 | Linear OOA(3118, 6585786, F3, 2, 9) (dual of [(6585786, 2), 13171454, 10]-NRT-code) | [i] | ||
| 23 | Linear OOA(3119, 8388602, F3, 2, 9) (dual of [(8388602, 2), 16777085, 10]-NRT-code) | [i] | ||
| 24 | Linear OOA(390, 4194301, F3, 3, 9) (dual of [(4194301, 3), 12582813, 10]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 25 | Linear OOA(390, 4194301, F3, 4, 9) (dual of [(4194301, 4), 16777114, 10]-NRT-code) | [i] | ||
| 26 | Linear OOA(390, 4194301, F3, 5, 9) (dual of [(4194301, 5), 20971415, 10]-NRT-code) | [i] | ||
| 27 | Digital (81, 90, 4194301)-net over F3 | [i] | ||