Information on Result #945198
Linear OOA(246, 170, F2, 3, 11) (dual of [(170, 3), 464, 12]-NRT-code), using OOA 3-folding based on linear OA(246, 510, F2, 11) (dual of [510, 464, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(246, 511, F2, 11) (dual of [511, 465, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, 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, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(246, 170, F2, 4, 11) (dual of [(170, 4), 634, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(246, 170, F2, 5, 11) (dual of [(170, 5), 804, 12]-NRT-code) | [i] | ||
| 3 | Linear OOA(246, 170, F2, 6, 11) (dual of [(170, 6), 974, 12]-NRT-code) | [i] | ||
| 4 | Linear OOA(246, 170, F2, 7, 11) (dual of [(170, 7), 1144, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(246, 170, F2, 8, 11) (dual of [(170, 8), 1314, 12]-NRT-code) | [i] | ||
| 6 | Digital (35, 46, 170)-net over F2 | [i] | ||