Information on Result #676764
Linear OA(393, 757, F3, 22) (dual of [757, 664, 23]-code), using construction X applied to Ce(21) ⊂ Ce(15) based on
- linear OA(385, 729, F3, 22) (dual of [729, 644, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(361, 729, F3, 16) (dual of [729, 668, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(38, 28, F3, 5) (dual of [28, 20, 6]-code), using
- dual code (with bound on d by construction Y1) [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(393, 633, F3, 2, 22) (dual of [(633, 2), 1173, 23]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(393, 633, F3, 3, 22) (dual of [(633, 3), 1806, 23]-NRT-code) | [i] | ||
| 3 | Linear OOA(393, 633, F3, 4, 22) (dual of [(633, 4), 2439, 23]-NRT-code) | [i] | ||
| 4 | Linear OOA(393, 633, F3, 5, 22) (dual of [(633, 5), 3072, 23]-NRT-code) | [i] | ||
| 5 | Digital (71, 93, 633)-net over F3 | [i] | ||