Information on Result #812876
Linear OOA(3106, 4194301, F3, 2, 11) (dual of [(4194301, 2), 8388496, 12]-NRT-code), using OOA 2-folding based on linear OA(3106, 8388602, F3, 11) (dual of [8388602, 8388496, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(3106, large, F3, 11) (dual of [large, large−106, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [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(3108, 4194302, F3, 2, 11) (dual of [(4194302, 2), 8388496, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(3110, 4194303, F3, 2, 11) (dual of [(4194303, 2), 8388496, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(3107, 4194301, F3, 2, 11) (dual of [(4194301, 2), 8388495, 12]-NRT-code) | [i] | OOA Duplication | |
| 4 | Linear OOA(3111, 4194305, F3, 2, 11) (dual of [(4194305, 2), 8388499, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 5 | Linear OOA(3112, 4194308, F3, 2, 11) (dual of [(4194308, 2), 8388504, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(3113, 4194312, F3, 2, 11) (dual of [(4194312, 2), 8388511, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(3114, 4194319, F3, 2, 11) (dual of [(4194319, 2), 8388524, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(3115, 4194329, F3, 2, 11) (dual of [(4194329, 2), 8388543, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(3116, 4194339, F3, 2, 11) (dual of [(4194339, 2), 8388562, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(3117, 4194378, F3, 2, 11) (dual of [(4194378, 2), 8388639, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(3118, 4194396, F3, 2, 11) (dual of [(4194396, 2), 8388674, 12]-NRT-code) | [i] | ||
| 12 | Linear OOA(3119, 4194404, F3, 2, 11) (dual of [(4194404, 2), 8388689, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(3121, 4194418, F3, 2, 11) (dual of [(4194418, 2), 8388715, 12]-NRT-code) | [i] | ||
| 14 | Linear OOA(3122, 4194455, F3, 2, 11) (dual of [(4194455, 2), 8388788, 12]-NRT-code) | [i] | ||
| 15 | Linear OOA(3123, 4194491, F3, 2, 11) (dual of [(4194491, 2), 8388859, 12]-NRT-code) | [i] | ||
| 16 | Linear OOA(3124, 4194507, F3, 2, 11) (dual of [(4194507, 2), 8388890, 12]-NRT-code) | [i] | ||
| 17 | Linear OOA(3125, 4194668, F3, 2, 11) (dual of [(4194668, 2), 8389211, 12]-NRT-code) | [i] | ||
| 18 | Linear OOA(3126, 4194671, F3, 2, 11) (dual of [(4194671, 2), 8389216, 12]-NRT-code) | [i] | ||
| 19 | Linear OOA(3127, 4195355, F3, 2, 11) (dual of [(4195355, 2), 8390583, 12]-NRT-code) | [i] | ||
| 20 | Linear OOA(3122, 4194458, F3, 2, 11) (dual of [(4194458, 2), 8388794, 12]-NRT-code) | [i] | ||
| 21 | Linear OOA(3123, 4194532, F3, 2, 11) (dual of [(4194532, 2), 8388941, 12]-NRT-code) | [i] | ||
| 22 | Linear OOA(3124, 4194586, F3, 2, 11) (dual of [(4194586, 2), 8389048, 12]-NRT-code) | [i] | ||
| 23 | Linear OOA(3106, 3000788, F3, 3, 11) (dual of [(3000788, 3), 9002258, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 24 | Linear OOA(3106, 3000788, F3, 4, 11) (dual of [(3000788, 4), 12003046, 12]-NRT-code) | [i] | ||
| 25 | Linear OOA(3106, 3000788, F3, 5, 11) (dual of [(3000788, 5), 15003834, 12]-NRT-code) | [i] | ||
| 26 | Digital (95, 106, 3000788)-net over F3 | [i] | ||