Information on Result #1071492
Linear OOA(25637, 2097150, F256, 4, 13) (dual of [(2097150, 4), 8388563, 14]-NRT-code), using OOA 4-folding based on linear OA(25637, 8388600, F256, 13) (dual of [8388600, 8388563, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(25637, large, F256, 13) (dual of [large, large−37, 14]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,12], and designed minimum distance d ≥ |I|+1 = 14 [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(25638, 2097150, F256, 4, 13) (dual of [(2097150, 4), 8388562, 14]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25643, 2097407, F256, 4, 13) (dual of [(2097407, 4), 8389585, 14]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25644, 2097408, F256, 4, 13) (dual of [(2097408, 4), 8389588, 14]-NRT-code) | [i] | ||
| 4 | Linear OOA(25645, 2097409, F256, 4, 13) (dual of [(2097409, 4), 8389591, 14]-NRT-code) | [i] | ||
| 5 | Linear OOA(25646, 2097664, F256, 4, 13) (dual of [(2097664, 4), 8390610, 14]-NRT-code) | [i] | ||
| 6 | Linear OOA(25647, 2097665, F256, 4, 13) (dual of [(2097665, 4), 8390613, 14]-NRT-code) | [i] | ||
| 7 | Linear OOA(25648, 2118996, F256, 4, 13) (dual of [(2118996, 4), 8475936, 14]-NRT-code) | [i] | ||
| 8 | Linear OOA(25649, 2118997, F256, 4, 13) (dual of [(2118997, 4), 8475939, 14]-NRT-code) | [i] | ||
| 9 | Linear OOA(25650, 2118998, F256, 4, 13) (dual of [(2118998, 4), 8475942, 14]-NRT-code) | [i] | ||
| 10 | Linear OOA(25651, 2162941, F256, 4, 13) (dual of [(2162941, 4), 8651713, 14]-NRT-code) | [i] | ||
| 11 | Linear OOA(25652, 2162942, F256, 4, 13) (dual of [(2162942, 4), 8651716, 14]-NRT-code) | [i] | ||
| 12 | Linear OOA(25651, 2162942, F256, 4, 13) (dual of [(2162942, 4), 8651717, 14]-NRT-code) | [i] | ||
| 13 | Linear OOA(25652, 2162943, F256, 4, 13) (dual of [(2162943, 4), 8651720, 14]-NRT-code) | [i] | ||
| 14 | Linear OOA(25666, 4292220, F256, 4, 13) (dual of [(4292220, 4), 17168814, 14]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 15 | Linear OOA(25667, 4325886, F256, 4, 13) (dual of [(4325886, 4), 17303477, 14]-NRT-code) | [i] | ||
| 16 | Linear OOA(25668, 4391166, F256, 4, 13) (dual of [(4391166, 4), 17564596, 14]-NRT-code) | [i] | ||
| 17 | Linear OOA(25668, 6291964, F256, 4, 13) (dual of [(6291964, 4), 25167788, 14]-NRT-code) | [i] | ||
| 18 | Linear OOA(25662, 4227197, F256, 4, 13) (dual of [(4227197, 4), 16908726, 14]-NRT-code) | [i] | ||
| 19 | Linear OOA(25663, 4259580, F256, 4, 13) (dual of [(4259580, 4), 17038257, 14]-NRT-code) | [i] | ||
| 20 | Linear OOA(25664, 4259838, F256, 4, 13) (dual of [(4259838, 4), 17039288, 14]-NRT-code) | [i] | ||
| 21 | Linear OOA(25664, 4260349, F256, 4, 13) (dual of [(4260349, 4), 17041332, 14]-NRT-code) | [i] | ||
| 22 | Linear OOA(25665, 4325629, F256, 4, 13) (dual of [(4325629, 4), 17302451, 14]-NRT-code) | [i] | ||
| 23 | Linear OOA(25666, 4325884, F256, 4, 13) (dual of [(4325884, 4), 17303470, 14]-NRT-code) | [i] | ||
| 24 | Linear OOA(25666, 6291707, F256, 4, 13) (dual of [(6291707, 4), 25166762, 14]-NRT-code) | [i] | ||
| 25 | Linear OOA(25667, 6356987, F256, 4, 13) (dual of [(6356987, 4), 25427881, 14]-NRT-code) | [i] | ||
| 26 | Linear OOA(25668, 6422787, F256, 4, 13) (dual of [(6422787, 4), 25691080, 14]-NRT-code) | [i] | ||
| 27 | Linear OOA(25657, 4194557, F256, 4, 13) (dual of [(4194557, 4), 16778171, 14]-NRT-code) | [i] | ||
| 28 | Linear OOA(25658, 4194558, F256, 4, 13) (dual of [(4194558, 4), 16778174, 14]-NRT-code) | [i] | ||
| 29 | Linear OOA(25659, 4226940, F256, 4, 13) (dual of [(4226940, 4), 16907701, 14]-NRT-code) | [i] | ||
| 30 | Linear OOA(25660, 4227069, F256, 4, 13) (dual of [(4227069, 4), 16908216, 14]-NRT-code) | [i] | ||
| 31 | Linear OOA(25661, 4260092, F256, 4, 13) (dual of [(4260092, 4), 17040307, 14]-NRT-code) | [i] | ||
| 32 | Linear OOA(25662, 4260093, F256, 4, 13) (dual of [(4260093, 4), 17040310, 14]-NRT-code) | [i] | ||
| 33 | Linear OOA(25663, 6291450, F256, 4, 13) (dual of [(6291450, 4), 25165737, 14]-NRT-code) | [i] | ||