Information on Result #905781
Linear OOA(25666, 4194560, F256, 2, 19) (dual of [(4194560, 2), 8389054, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25611, 259, F256, 2, 9) (dual of [(259, 2), 507, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 11, 259)-net over F256, using
- net from sequence [i] based on digital (2, 258)-sequence over F256, using
- extracting embedded OOA [i] based on digital (2, 11, 259)-net over F256, using
- linear OOA(25655, 4194301, F256, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(25655, large, F256, 19) (dual of [large, large−55, 20]-code), using
- OOA 2-folding [i] based on linear OA(25655, 8388602, F256, 19) (dual of [8388602, 8388547, 20]-code), using
Mode: Constructive and 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(25666, 2097280, F256, 4, 19) (dual of [(2097280, 4), 8389054, 20]-NRT-code) | [i] | OOA Folding | |