Information on Result #2277342
Linear OA(5148, large, F5, 18) (dual of [large, large−148, 19]-code), using 7 times code embedding in larger space based on linear OA(5141, large, F5, 18) (dual of [large, large−141, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [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(5148, 4490189, F5, 2, 18) (dual of [(4490189, 2), 8980230, 19]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5148, 4490189, F5, 3, 18) (dual of [(4490189, 3), 13470419, 19]-NRT-code) | [i] | ||
| 3 | Digital (130, 148, 4490189)-net over F5 | [i] | ||