Information on Result #2292364
Linear OA(25653, large, F256, 17) (dual of [large, large−53, 18]-code), using 4 times code embedding in larger space based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, 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(25653, 5620710, F256, 2, 17) (dual of [(5620710, 2), 11241367, 18]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(25653, 5620710, F256, 3, 17) (dual of [(5620710, 3), 16862077, 18]-NRT-code) | [i] | ||
| 3 | Linear OOA(25653, 5620710, F256, 4, 17) (dual of [(5620710, 4), 22482787, 18]-NRT-code) | [i] | ||
| 4 | Linear OOA(25653, 5620710, F256, 5, 17) (dual of [(5620710, 5), 28103497, 18]-NRT-code) | [i] | ||
| 5 | Linear OOA(25653, 5620710, F256, 6, 17) (dual of [(5620710, 6), 33724207, 18]-NRT-code) | [i] | ||
| 6 | Digital (36, 53, 5620710)-net over F256 | [i] | ||