Information on Result #813660
Linear OOA(392, 1097, F3, 2, 20) (dual of [(1097, 2), 2102, 21]-NRT-code), using OOA 2-folding based on linear OA(392, 2194, F3, 20) (dual of [2194, 2102, 21]-code), using
- construction X applied to Ce(19) ⊂ Ce(18) [i] based on
- linear OA(392, 2187, F3, 20) (dual of [2187, 2095, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
- linear OA(385, 2187, F3, 19) (dual of [2187, 2102, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(394, 1098, F3, 2, 20) (dual of [(1098, 2), 2102, 21]-NRT-code) | [i] | NRT-Code Embedding in Larger Space | |
| 2 | Linear OOA(393, 1097, F3, 2, 20) (dual of [(1097, 2), 2101, 21]-NRT-code) | [i] | OOA Duplication | |
| 3 | Linear OOA(392, 1097, F3, 3, 20) (dual of [(1097, 3), 3199, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(392, 1097, F3, 4, 20) (dual of [(1097, 4), 4296, 21]-NRT-code) | [i] | ||
| 5 | Linear OOA(392, 1097, F3, 5, 20) (dual of [(1097, 5), 5393, 21]-NRT-code) | [i] | ||
| 6 | Digital (72, 92, 1097)-net over F3 | [i] | ||