Information on Result #663067
Linear OA(563, 78138, F5, 11) (dual of [78138, 78075, 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(557, 78126, F5, 11) (dual of [78126, 78069, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 78126 | 514−1, 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(563, 67730, F5, 2, 11) (dual of [(67730, 2), 135397, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(563, 67730, F5, 3, 11) (dual of [(67730, 3), 203127, 12]-NRT-code) | [i] | ||
| 3 | Digital (52, 63, 67730)-net over F5 | [i] | ||