Information on Result #677266
Linear OA(359, 256, F3, 17) (dual of [256, 197, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- linear OA(356, 243, F3, 17) (dual of [243, 187, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(346, 243, F3, 14) (dual of [243, 197, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(33, 13, F3, 2) (dual of [13, 10, 3]-code), using
- Hamming code H(3,3) [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(359, 213, F3, 2, 17) (dual of [(213, 2), 367, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(359, 213, F3, 3, 17) (dual of [(213, 3), 580, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(359, 213, F3, 4, 17) (dual of [(213, 4), 793, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(359, 213, F3, 5, 17) (dual of [(213, 5), 1006, 18]-NRT-code) | [i] | ||
| 5 | Digital (42, 59, 213)-net over F3 | [i] | ||