Information on Result #1567562
Linear OOA(25653, 5620710, F256, 3, 17) (dual of [(5620710, 3), 16862077, 18]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25653, 5620710, F256, 17) (dual of [5620710, 5620657, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25653, large, F256, 17) (dual of [large, large−53, 18]-code), using
- 4 times code embedding in larger space [i] 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]
- 4 times code embedding in larger space [i] based on linear OA(25649, large, F256, 17) (dual of [large, large−49, 18]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, 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, 2810355, F256, 5, 17) (dual of [(2810355, 5), 14051722, 18]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(25653, 2810355, F256, 6, 17) (dual of [(2810355, 6), 16862077, 18]-NRT-code) | [i] | ||