Information on Result #676762
Linear OA(399, 757, F3, 23) (dual of [757, 658, 24]-code), using construction X applied to Ce(22) ⊂ Ce(16) based on
- linear OA(391, 729, F3, 23) (dual of [729, 638, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- 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(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(399, 712, F3, 2, 23) (dual of [(712, 2), 1325, 24]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(399, 712, F3, 3, 23) (dual of [(712, 3), 2037, 24]-NRT-code) | [i] | ||
| 3 | Linear OOA(399, 712, F3, 4, 23) (dual of [(712, 4), 2749, 24]-NRT-code) | [i] | ||
| 4 | Linear OOA(399, 712, F3, 5, 23) (dual of [(712, 5), 3461, 24]-NRT-code) | [i] | ||
| 5 | Digital (76, 99, 712)-net over F3 | [i] | ||