Information on Result #2486226
Linear OOA(380, 1098, F3, 2, 17) (dual of [(1098, 2), 2116, 18]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(378, 1097, F3, 2, 17) (dual of [(1097, 2), 2116, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(378, 2194, F3, 17) (dual of [2194, 2116, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(15) [i] based on
- linear OA(378, 2187, F3, 17) (dual of [2187, 2109, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(371, 2187, F3, 16) (dual of [2187, 2116, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 2186 = 37−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(16) ⊂ Ce(15) [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(380, 1098, F3, 3, 17) (dual of [(1098, 3), 3214, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(380, 1098, F3, 4, 17) (dual of [(1098, 4), 4312, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(380, 1098, F3, 5, 17) (dual of [(1098, 5), 5410, 18]-NRT-code) | [i] | ||
| 4 | Digital (63, 80, 1098)-net over F3 | [i] | ||