Information on Result #2277263
Linear OA(5133, large, F5, 16) (dual of [large, large−133, 17]-code), using 12 times code embedding in larger space based on linear OA(5121, large, F5, 16) (dual of [large, large−121, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [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(5133, 5884176, F5, 2, 16) (dual of [(5884176, 2), 11768219, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5133, 5884176, F5, 3, 16) (dual of [(5884176, 3), 17652395, 17]-NRT-code) | [i] | ||
| 3 | Digital (117, 133, 5884176)-net over F5 | [i] | ||