Information on Result #1567645
Linear OOA(25659, 4631828, F256, 3, 19) (dual of [(4631828, 3), 13895425, 20]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(25659, 4631828, F256, 19) (dual of [4631828, 4631769, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(25659, large, F256, 19) (dual of [large, large−59, 20]-code), using
- 4 times code embedding in larger space [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,18], and designed minimum distance d ≥ |I|+1 = 20 [i]
- 4 times code embedding in larger space [i] based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-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(25659, 2315914, F256, 5, 19) (dual of [(2315914, 5), 11579511, 20]-NRT-code) | [i] | OOA Folding | |
2 | Linear OOA(25659, 2315914, F256, 6, 19) (dual of [(2315914, 6), 13895425, 20]-NRT-code) | [i] |