Information on Result #1083714
Linear OOA(25622, 16642, F256, 4, 9) (dual of [(16642, 4), 66546, 10]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2565, 258, F256, 4, 4) (dual of [(258, 4), 1027, 5]-NRT-code), using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 5, 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, 5, 258)-net over F256, using
- appending kth column [i] based on linear OOA(2565, 258, F256, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
- linear OOA(25617, 16384, F256, 4, 9) (dual of [(16384, 4), 65519, 10]-NRT-code), using
- OOA 4-folding [i] based on linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-code), using
- an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 65535 = 2562−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- OOA 4-folding [i] based on linear OA(25617, 65536, F256, 9) (dual of [65536, 65519, 10]-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(25640, 4260352, F256, 4, 9) (dual of [(4260352, 4), 17041368, 10]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 2 | Linear OOA(25622, 16641, F256, 5, 9) (dual of [(16641, 5), 83183, 10]-NRT-code) | [i] | OOA Stacking with Additional Row | |
| 3 | Linear OOA(25622, 16641, F256, 6, 9) (dual of [(16641, 6), 99824, 10]-NRT-code) | [i] | ||
| 4 | Linear OOA(25622, 16641, F256, 12, 9) (dual of [(16641, 12), 199670, 10]-NRT-code) | [i] | ||