Information on Result #1304729
Linear OA(3144, 822, F3, 34) (dual of [822, 678, 35]-code), using 79 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 0, 1, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 9 times 0, 1, 11 times 0, 1, 15 times 0, 1, 18 times 0) based on linear OA(3130, 729, F3, 34) (dual of [729, 599, 35]-code), using
- an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 728 = 36−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
Mode: 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(3144, 822, F3, 2, 34) (dual of [(822, 2), 1500, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(3144, 822, F3, 3, 34) (dual of [(822, 3), 2322, 35]-NRT-code) | [i] | ||
| 3 | Linear OOA(3144, 822, F3, 4, 34) (dual of [(822, 4), 3144, 35]-NRT-code) | [i] | ||
| 4 | Linear OOA(3144, 822, F3, 5, 34) (dual of [(822, 5), 3966, 35]-NRT-code) | [i] | ||
| 5 | Digital (110, 144, 822)-net over F3 | [i] | ||