Information on Result #812831
Linear OOA(350, 1097, F3, 2, 11) (dual of [(1097, 2), 2144, 12]-NRT-code), using OOA 2-folding based on linear OA(350, 2194, F3, 11) (dual of [2194, 2144, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(350, 2187, F3, 11) (dual of [2187, 2137, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(343, 2187, F3, 10) (dual of [2187, 2144, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(30, 7, F3, 0) (dual of [7, 7, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
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(352, 1098, F3, 2, 11) (dual of [(1098, 2), 2144, 12]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(351, 1097, F3, 2, 11) (dual of [(1097, 2), 2143, 12]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(350, 1097, F3, 3, 11) (dual of [(1097, 3), 3241, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(350, 1097, F3, 4, 11) (dual of [(1097, 4), 4338, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(350, 1097, F3, 5, 11) (dual of [(1097, 5), 5435, 12]-NRT-code) | [i] | ||
| 6 | Digital (39, 50, 1097)-net over F3 | [i] | ||