Information on Result #1083821
Linear OOA(25634, 16898, F256, 4, 13) (dual of [(16898, 4), 67558, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2569, 514, F256, 4, 6) (dual of [(514, 4), 2047, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 4, 3) (dual of [(257, 4), 1025, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1025,256) [i]
- linear OOA(2566, 257, F256, 4, 6) (dual of [(257, 4), 1022, 7]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(4;1022,256) [i]
- linear OOA(2563, 257, F256, 4, 3) (dual of [(257, 4), 1025, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(25625, 16384, F256, 4, 13) (dual of [(16384, 4), 65511, 14]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 4-folding [i] based on linear OA(25625, 65536, F256, 13) (dual of [65536, 65511, 14]-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(25668, 4325888, F256, 4, 13) (dual of [(4325888, 4), 17303484, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |