Information on Result #662620
Linear OA(496, 4194321, F4, 11) (dual of [4194321, 4194225, 12]-code), using (u, u+v)-construction based on
- linear OA(47, 16, F4, 5) (dual of [16, 9, 6]-code), using
- an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 15 = 42−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(489, 4194305, F4, 11) (dual of [4194305, 4194216, 12]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 4194305 | 422−1, 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(496, 3131172, F4, 2, 11) (dual of [(3131172, 2), 6262248, 12]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(496, 3131172, F4, 3, 11) (dual of [(3131172, 3), 9393420, 12]-NRT-code) | [i] | ||
| 3 | Digital (85, 96, 3131172)-net over F4 | [i] | ||