Information on Result #663071
Linear OA(579, 1953138, F5, 11) (dual of [1953138, 1953059, 12]-code), using (u, u+v)-construction based on
- linear OA(56, 12, F5, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,5) [i]
- linear OA(573, 1953126, F5, 11) (dual of [1953126, 1953053, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1953126 | 518−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (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(579, 1184212, F5, 2, 11) (dual of [(1184212, 2), 2368345, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(579, 1184212, F5, 3, 11) (dual of [(1184212, 3), 3552557, 12]-NRT-code) | [i] | ||
| 3 | Digital (68, 79, 1184212)-net over F5 | [i] | ||