Information on Result #676609
Linear OA(3106, 742, F3, 26) (dual of [742, 636, 27]-code), using construction X applied to Ce(25) ⊂ Ce(22) based on
- linear OA(3103, 729, F3, 26) (dual of [729, 626, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 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(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(3106, 578, F3, 2, 26) (dual of [(578, 2), 1050, 27]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3106, 578, F3, 3, 26) (dual of [(578, 3), 1628, 27]-NRT-code) | [i] | ||
| 3 | Linear OOA(3106, 578, F3, 4, 26) (dual of [(578, 4), 2206, 27]-NRT-code) | [i] | ||
| 4 | Linear OOA(3106, 578, F3, 5, 26) (dual of [(578, 5), 2784, 27]-NRT-code) | [i] | ||
| 5 | Digital (80, 106, 578)-net over F3 | [i] | ||