Information on Result #1071448
Linear OOA(25631, 2097150, F256, 4, 11) (dual of [(2097150, 4), 8388569, 12]-NRT-code), using OOA 4-folding based on linear OA(25631, 8388600, F256, 11) (dual of [8388600, 8388569, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(25631, large, F256, 11) (dual of [large, large−31, 12]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,10], and designed minimum distance d ≥ |I|+1 = 12 [i]
Mode: Constructive and linear.
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 | Linear OOA(25632, 2097150, F256, 4, 11) (dual of [(2097150, 4), 8388568, 12]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(2248, large, F2, 4, 11) | [i] | Trace Code for OOAs | |
| 3 | Linear OOA(25636, 2097407, F256, 4, 11) (dual of [(2097407, 4), 8389592, 12]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 4 | Linear OOA(25637, 2097408, F256, 4, 11) (dual of [(2097408, 4), 8389595, 12]-NRT-code) | [i] | ||
| 5 | Linear OOA(25638, 2129790, F256, 4, 11) (dual of [(2129790, 4), 8519122, 12]-NRT-code) | [i] | ||
| 6 | Linear OOA(25640, 2130047, F256, 4, 11) (dual of [(2130047, 4), 8520148, 12]-NRT-code) | [i] | ||
| 7 | Linear OOA(25641, 2162941, F256, 4, 11) (dual of [(2162941, 4), 8651723, 12]-NRT-code) | [i] | ||
| 8 | Linear OOA(25642, 2195071, F256, 4, 11) (dual of [(2195071, 4), 8780242, 12]-NRT-code) | [i] | ||
| 9 | Linear OOA(25643, 2227711, F256, 4, 11) (dual of [(2227711, 4), 8910801, 12]-NRT-code) | [i] | ||
| 10 | Linear OOA(25641, 2162942, F256, 4, 11) (dual of [(2162942, 4), 8651727, 12]-NRT-code) | [i] | ||
| 11 | Linear OOA(25648, 4259837, F256, 4, 11) (dual of [(4259837, 4), 17039300, 12]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 12 | Linear OOA(25649, 4325637, F256, 4, 11) (dual of [(4325637, 4), 17302499, 12]-NRT-code) | [i] | ||
| 13 | Linear OOA(25650, 6291450, F256, 4, 11) (dual of [(6291450, 4), 25165750, 12]-NRT-code) | [i] | ||