Information on Result #1311659
Linear OA(777, 2589, F7, 21) (dual of [2589, 2512, 22]-code), using 184 step Varšamov–Edel lengthening with (ri) = (2, 4 times 0, 1, 18 times 0, 1, 50 times 0, 1, 108 times 0) based on linear OA(772, 2400, F7, 21) (dual of [2400, 2328, 22]-code), using
- 1 times truncation [i] based on linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [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(777, 2589, F7, 2, 21) (dual of [(2589, 2), 5101, 22]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(777, 2589, F7, 3, 21) (dual of [(2589, 3), 7690, 22]-NRT-code) | [i] | ||
| 3 | Digital (56, 77, 2589)-net over F7 | [i] | ||
| 4 | Linear OOA(777, 1294, F7, 2, 21) (dual of [(1294, 2), 2511, 22]-NRT-code) | [i] | OOA Folding | |