Information on Result #676623
Linear OA(370, 742, F3, 17) (dual of [742, 672, 18]-code), using construction X applied to Ce(16) ⊂ Ce(13) based on
- linear OA(367, 729, F3, 17) (dual of [729, 662, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(355, 729, F3, 14) (dual of [729, 674, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, 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(370, 490, F3, 2, 17) (dual of [(490, 2), 910, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(370, 490, F3, 3, 17) (dual of [(490, 3), 1400, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(370, 490, F3, 4, 17) (dual of [(490, 4), 1890, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(370, 490, F3, 5, 17) (dual of [(490, 5), 2380, 18]-NRT-code) | [i] | ||
| 5 | Digital (53, 70, 490)-net over F3 | [i] | ||