Information on Result #1083927
Linear OOA(25642, 16642, F256, 4, 17) (dual of [(16642, 4), 66526, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2569, 258, F256, 4, 8) (dual of [(258, 4), 1023, 9]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 9, 258)-net over F256, using
- net from sequence [i] based on digital (1, 257)-sequence over F256, using
- extracting embedded OOA [i] based on digital (1, 9, 258)-net over F256, using
- linear OOA(25633, 16384, F256, 4, 17) (dual of [(16384, 4), 65503, 18]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using
- an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- OOA 4-folding [i] based on linear OA(25633, 65536, F256, 17) (dual of [65536, 65503, 18]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | OOA(12848, 16642, S128, 4, 17) | [i] | Discarding Parts of the Base for OOAs | |