Information on Result #1567561
Linear OOA(25653, 3883664, F256, 3, 18) (dual of [(3883664, 3), 11650939, 19]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(25653, 3883664, F256, 2, 18) (dual of [(3883664, 2), 7767275, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(25653, 4194301, F256, 2, 18) (dual of [(4194301, 2), 8388549, 19]-NRT-code), using
- 2561 times duplication [i] based on linear OOA(25652, 4194301, F256, 2, 18) (dual of [(4194301, 2), 8388550, 19]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25652, 8388602, F256, 18) (dual of [8388602, 8388550, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,17], and designed minimum distance d ≥ |I|+1 = 19 [i]
- discarding factors / shortening the dual code based on linear OA(25652, large, F256, 18) (dual of [large, large−52, 19]-code), using
- OOA 2-folding [i] based on linear OA(25652, 8388602, F256, 18) (dual of [8388602, 8388550, 19]-code), using
- 2561 times duplication [i] based on linear OOA(25652, 4194301, F256, 2, 18) (dual of [(4194301, 2), 8388550, 19]-NRT-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 | OOA(12861, 3883664, S128, 3, 18) | [i] | Discarding Parts of the Base for OOAs | |
| 2 | Linear OOA(25653, 1941832, F256, 5, 18) (dual of [(1941832, 5), 9709107, 19]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(25653, 1941832, F256, 6, 18) (dual of [(1941832, 6), 11650939, 19]-NRT-code) | [i] | ||