Information on Result #1083931
Linear OOA(25646, 16899, F256, 4, 17) (dual of [(16899, 4), 67550, 18]-NRT-code), using (u, u+v)-construction based on
- linear OOA(25613, 515, F256, 4, 8) (dual of [(515, 4), 2047, 9]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 257, F256, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1024,256) [i]
- 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(2564, 257, F256, 4, 4) (dual of [(257, 4), 1024, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- 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 | Linear OOA(25646, 8449, F256, 20, 17) (dual of [(8449, 20), 168934, 18]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |