Information on Result #1071542
Linear OOA(25643, 2097150, F256, 4, 15) (dual of [(2097150, 4), 8388557, 16]-NRT-code), using OOA 4-folding based on linear OA(25643, 8388600, F256, 15) (dual of [8388600, 8388557, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(25643, large, F256, 15) (dual of [large, large−43, 16]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,14], and designed minimum distance d ≥ |I|+1 = 16 [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(25644, 2097150, F256, 4, 15) (dual of [(2097150, 4), 8388556, 16]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25650, 2097407, F256, 4, 15) (dual of [(2097407, 4), 8389578, 16]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25651, 2097408, F256, 4, 15) (dual of [(2097408, 4), 8389581, 16]-NRT-code) | [i] | ||
| 4 | Linear OOA(25652, 2097409, F256, 4, 15) (dual of [(2097409, 4), 8389584, 16]-NRT-code) | [i] | ||
| 5 | Linear OOA(25653, 2097664, F256, 4, 15) (dual of [(2097664, 4), 8390603, 16]-NRT-code) | [i] | ||
| 6 | Linear OOA(25654, 2097665, F256, 4, 15) (dual of [(2097665, 4), 8390606, 16]-NRT-code) | [i] | ||
| 7 | Linear OOA(25655, 2097920, F256, 4, 15) (dual of [(2097920, 4), 8391625, 16]-NRT-code) | [i] | ||
| 8 | Linear OOA(25656, 2118995, F256, 4, 15) (dual of [(2118995, 4), 8475924, 16]-NRT-code) | [i] | ||
| 9 | Linear OOA(25657, 2118997, F256, 4, 15) (dual of [(2118997, 4), 8475931, 16]-NRT-code) | [i] | ||
| 10 | Linear OOA(25659, 2162941, F256, 4, 15) (dual of [(2162941, 4), 8651705, 16]-NRT-code) | [i] | ||
| 11 | Linear OOA(25660, 2162942, F256, 4, 15) (dual of [(2162942, 4), 8651708, 16]-NRT-code) | [i] | ||
| 12 | Linear OOA(25661, 2162943, F256, 4, 15) (dual of [(2162943, 4), 8651711, 16]-NRT-code) | [i] | ||
| 13 | Linear OOA(25655, 2097921, F256, 4, 15) (dual of [(2097921, 4), 8391629, 16]-NRT-code) | [i] | ||
| 14 | Linear OOA(25659, 2162942, F256, 4, 15) (dual of [(2162942, 4), 8651709, 16]-NRT-code) | [i] | ||
| 15 | Linear OOA(25660, 2162943, F256, 4, 15) (dual of [(2162943, 4), 8651712, 16]-NRT-code) | [i] | ||
| 16 | Linear OOA(25661, 2162944, F256, 4, 15) (dual of [(2162944, 4), 8651715, 16]-NRT-code) | [i] | ||
| 17 | Linear OOA(25667, 4194557, F256, 4, 15) (dual of [(4194557, 4), 16778161, 16]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 18 | Linear OOA(25668, 4194558, F256, 4, 15) (dual of [(4194558, 4), 16778164, 16]-NRT-code) | [i] | ||