Information on Result #662979
Linear OA(5119, 1953138, F5, 16) (dual of [1953138, 1953019, 17]-code), using (u, u+v)-construction based on
- linear OA(510, 13, F5, 8) (dual of [13, 3, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(510, 15, F5, 8) (dual of [15, 5, 9]-code), using
- linear OA(5109, 1953125, F5, 16) (dual of [1953125, 1953016, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1953124 = 59−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [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(5119, 1176828, F5, 2, 16) (dual of [(1176828, 2), 2353537, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5119, 1176828, F5, 3, 16) (dual of [(1176828, 3), 3530365, 17]-NRT-code) | [i] | ||
| 3 | Digital (103, 119, 1176828)-net over F5 | [i] | ||