Information on Result #2277158
Linear OA(5113, large, F5, 14) (dual of [large, large−113, 15]-code), using 2 times code embedding in larger space based on linear OA(5111, large, F5, 14) (dual of [large, large−111, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(5113, 4415915, F5, 2, 14) (dual of [(4415915, 2), 8831717, 15]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5113, 4415915, F5, 3, 14) (dual of [(4415915, 3), 13247632, 15]-NRT-code) | [i] | ||
| 3 | Digital (99, 113, 4415915)-net over F5 | [i] | ||