Information on Result #1071516
Linear OOA(25640, 2097150, F256, 4, 14) (dual of [(2097150, 4), 8388560, 15]-NRT-code), using OOA 4-folding based on linear OA(25640, 8388600, F256, 14) (dual of [8388600, 8388560, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(25640, large, F256, 14) (dual of [large, large−40, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [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(25641, 2097150, F256, 4, 14) (dual of [(2097150, 4), 8388559, 15]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25647, 2097407, F256, 4, 14) (dual of [(2097407, 4), 8389581, 15]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25648, 2097408, F256, 4, 14) (dual of [(2097408, 4), 8389584, 15]-NRT-code) | [i] | ||
| 4 | Linear OOA(25649, 2097409, F256, 4, 14) (dual of [(2097409, 4), 8389587, 15]-NRT-code) | [i] | ||
| 5 | Linear OOA(25650, 2097664, F256, 4, 14) (dual of [(2097664, 4), 8390606, 15]-NRT-code) | [i] | ||
| 6 | Linear OOA(25651, 2097665, F256, 4, 14) (dual of [(2097665, 4), 8390609, 15]-NRT-code) | [i] | ||
| 7 | Linear OOA(25652, 2097920, F256, 4, 14) (dual of [(2097920, 4), 8391628, 15]-NRT-code) | [i] | ||
| 8 | Linear OOA(25653, 2118995, F256, 4, 14) (dual of [(2118995, 4), 8475927, 15]-NRT-code) | [i] | ||
| 9 | Linear OOA(25654, 2118997, F256, 4, 14) (dual of [(2118997, 4), 8475934, 15]-NRT-code) | [i] | ||
| 10 | Linear OOA(25656, 2162941, F256, 4, 14) (dual of [(2162941, 4), 8651708, 15]-NRT-code) | [i] | ||
| 11 | Linear OOA(25657, 2162942, F256, 4, 14) (dual of [(2162942, 4), 8651711, 15]-NRT-code) | [i] | ||
| 12 | Linear OOA(25658, 2162943, F256, 4, 14) (dual of [(2162943, 4), 8651714, 15]-NRT-code) | [i] | ||
| 13 | Linear OOA(25652, 2097921, F256, 4, 14) (dual of [(2097921, 4), 8391632, 15]-NRT-code) | [i] | ||
| 14 | Linear OOA(25656, 2162942, F256, 4, 14) (dual of [(2162942, 4), 8651712, 15]-NRT-code) | [i] | ||
| 15 | Linear OOA(25657, 2162943, F256, 4, 14) (dual of [(2162943, 4), 8651715, 15]-NRT-code) | [i] | ||
| 16 | Linear OOA(25658, 2162944, F256, 4, 14) (dual of [(2162944, 4), 8651718, 15]-NRT-code) | [i] | ||
| 17 | Linear OOA(25668, 4195071, F256, 4, 14) (dual of [(4195071, 4), 16780216, 15]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 18 | Linear OOA(25668, 4227197, F256, 4, 14) (dual of [(4227197, 4), 16908720, 15]-NRT-code) | [i] | ||
| 19 | Linear OOA(25663, 4194557, F256, 4, 14) (dual of [(4194557, 4), 16778165, 15]-NRT-code) | [i] | ||
| 20 | Linear OOA(25664, 4194558, F256, 4, 14) (dual of [(4194558, 4), 16778168, 15]-NRT-code) | [i] | ||
| 21 | Linear OOA(25665, 4226940, F256, 4, 14) (dual of [(4226940, 4), 16907695, 15]-NRT-code) | [i] | ||
| 22 | Linear OOA(25666, 4227069, F256, 4, 14) (dual of [(4227069, 4), 16908210, 15]-NRT-code) | [i] | ||
| 23 | Linear OOA(25667, 4260092, F256, 4, 14) (dual of [(4260092, 4), 17040301, 15]-NRT-code) | [i] | ||
| 24 | Linear OOA(25668, 4260093, F256, 4, 14) (dual of [(4260093, 4), 17040304, 15]-NRT-code) | [i] | ||