Information on Result #662503
Linear OA(4152, 1048592, F4, 19) (dual of [1048592, 1048440, 20]-code), using (u, u+v)-construction based on
- linear OA(411, 15, F4, 9) (dual of [15, 4, 10]-code), using
- linear OA(4141, 1048577, F4, 19) (dual of [1048577, 1048436, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [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(4152, 532749, F4, 2, 19) (dual of [(532749, 2), 1065346, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4152, 532749, F4, 3, 19) (dual of [(532749, 3), 1598095, 20]-NRT-code) | [i] | ||
| 3 | Digital (133, 152, 532749)-net over F4 | [i] | ||