Information on Result #2277307
Linear OA(5139, large, F5, 17) (dual of [large, large−139, 18]-code), using 8 times code embedding in larger space based on linear OA(5131, large, F5, 17) (dual of [large, large−131, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, m 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(5139, 4327426, F5, 2, 17) (dual of [(4327426, 2), 8654713, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5139, 4327426, F5, 3, 17) (dual of [(4327426, 3), 12982139, 18]-NRT-code) | [i] | ||
| 3 | Digital (122, 139, 4327426)-net over F5 | [i] | ||