Information on Result #676607
Linear OA(3112, 742, F3, 28) (dual of [742, 630, 29]-code), using construction X applied to Ce(27) ⊂ Ce(24) based on
- linear OA(3109, 729, F3, 28) (dual of [729, 620, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [i]
- linear OA(397, 729, F3, 25) (dual of [729, 632, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [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(3112, 552, F3, 2, 28) (dual of [(552, 2), 992, 29]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3112, 552, F3, 3, 28) (dual of [(552, 3), 1544, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(3112, 552, F3, 4, 28) (dual of [(552, 4), 2096, 29]-NRT-code) | [i] | ||
| 4 | Linear OOA(3112, 552, F3, 5, 28) (dual of [(552, 5), 2648, 29]-NRT-code) | [i] | ||
| 5 | Digital (84, 112, 552)-net over F3 | [i] | ||