Information on Result #663055
Linear OA(588, 1953132, F5, 12) (dual of [1953132, 1953044, 13]-code), using (u, u+v)-construction based on
- linear OA(56, 7, F5, 6) (dual of [7, 1, 7]-code or 7-arc in PG(5,5)), using
- dual of repetition code with length 7 [i]
- linear OA(582, 1953125, F5, 12) (dual of [1953125, 1953043, 13]-code), using
- an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(588, 1364436, F5, 2, 12) (dual of [(1364436, 2), 2728784, 13]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(588, 1364436, F5, 3, 12) (dual of [(1364436, 3), 4093220, 13]-NRT-code) | [i] | ||
| 3 | Digital (76, 88, 1364436)-net over F5 | [i] | ||