Information on Result #2485915
Linear OOA(366, 1098, F3, 2, 14) (dual of [(1098, 2), 2130, 15]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(364, 1097, F3, 2, 14) (dual of [(1097, 2), 2130, 15]-NRT-code), using
- OOA 2-folding [i] based on linear OA(364, 2194, F3, 14) (dual of [2194, 2130, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(364, 2187, F3, 14) (dual of [2187, 2123, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(357, 2187, F3, 13) (dual of [2187, 2130, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
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(366, 1098, F3, 3, 14) (dual of [(1098, 3), 3228, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(366, 1098, F3, 4, 14) (dual of [(1098, 4), 4326, 15]-NRT-code) | [i] | ||
| 3 | Linear OOA(366, 1098, F3, 5, 14) (dual of [(1098, 5), 5424, 15]-NRT-code) | [i] | ||
| 4 | Digital (52, 66, 1098)-net over F3 | [i] | ||