Information on Result #1307655
Linear OA(471, 1157, F4, 17) (dual of [1157, 1086, 18]-code), using 122 step Varšamov–Edel lengthening with (ri) = (3, 1, 0, 1, 4 times 0, 1, 7 times 0, 1, 11 times 0, 1, 19 times 0, 1, 29 times 0, 1, 43 times 0) based on linear OA(461, 1025, F4, 17) (dual of [1025, 964, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1025 | 410−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [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(471, 1157, F4, 2, 17) (dual of [(1157, 2), 2243, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(471, 1157, F4, 3, 17) (dual of [(1157, 3), 3400, 18]-NRT-code) | [i] | ||
| 3 | Digital (54, 71, 1157)-net over F4 | [i] | ||