Information on Result #1833671
OOA(12864, 4194560, S128, 2, 16), using discarding parts of the base based on linear OOA(25656, 4194560, F256, 2, 16) (dual of [(4194560, 2), 8389064, 17]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25610, 259, F256, 2, 8) (dual of [(259, 2), 508, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (2, 10, 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, 10, 259)-net over F256, using
- linear OOA(25646, 4194301, F256, 2, 16) (dual of [(4194301, 2), 8388556, 17]-NRT-code), using
- OOA 2-folding [i] based on linear OA(25646, 8388602, F256, 16) (dual of [8388602, 8388556, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,15], and designed minimum distance d ≥ |I|+1 = 17 [i]
- discarding factors / shortening the dual code based on linear OA(25646, large, F256, 16) (dual of [large, large−46, 17]-code), using
- OOA 2-folding [i] based on linear OA(25646, 8388602, F256, 16) (dual of [8388602, 8388556, 17]-code), using
- linear OOA(25610, 259, F256, 2, 8) (dual of [(259, 2), 508, 9]-NRT-code), using
Mode: Constructive.
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(12864, 2097280, S128, 4, 16) | [i] | OOA Folding | |