Information on Result #662138
Linear OA(4252, 1048598, F4, 31) (dual of [1048598, 1048346, 32]-code), using (u, u−v, u+v+w)-construction based on
- linear OA(410, 11, F4, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,4)), using
- dual of repetition code with length 11 [i]
- linear OA(411, 11, F4, 11) (dual of [11, 0, 12]-code or 11-arc in PG(10,4)), using
- linear OA(4231, 1048576, F4, 31) (dual of [1048576, 1048345, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(4252, 632292, F4, 2, 31) (dual of [(632292, 2), 1264332, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(4252, 632292, F4, 3, 31) (dual of [(632292, 3), 1896624, 32]-NRT-code) | [i] | ||
| 3 | Digital (221, 252, 632292)-net over F4 | [i] | ||