Information on Result #677308
Linear OA(368, 265, F3, 19) (dual of [265, 197, 20]-code), using construction X applied to Ce(18) ⊂ Ce(13) based on
- linear OA(361, 243, F3, 19) (dual of [243, 182, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [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(37, 22, F3, 4) (dual of [22, 15, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [0,2], and designed minimum distance d ≥ |I|+1 = 5 [i]
- discarding factors / shortening the dual code based on linear OA(37, 26, F3, 4) (dual of [26, 19, 5]-code), 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(368, 259, F3, 2, 19) (dual of [(259, 2), 450, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(368, 259, F3, 3, 19) (dual of [(259, 3), 709, 20]-NRT-code) | [i] | ||
| 3 | Linear OOA(368, 259, F3, 4, 19) (dual of [(259, 4), 968, 20]-NRT-code) | [i] | ||
| 4 | Linear OOA(368, 259, F3, 5, 19) (dual of [(259, 5), 1227, 20]-NRT-code) | [i] | ||
| 5 | Digital (49, 68, 259)-net over F3 | [i] | ||