Information on Result #1071469
Linear OOA(25634, 2097150, F256, 4, 12) (dual of [(2097150, 4), 8388566, 13]-NRT-code), using OOA 4-folding based on linear OA(25634, 8388600, F256, 12) (dual of [8388600, 8388566, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [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(25635, 2097150, F256, 4, 12) (dual of [(2097150, 4), 8388565, 13]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(25640, 2097407, F256, 4, 12) (dual of [(2097407, 4), 8389588, 13]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |
| 3 | Linear OOA(25641, 2097408, F256, 4, 12) (dual of [(2097408, 4), 8389591, 13]-NRT-code) | [i] | ||
| 4 | Linear OOA(25642, 2097409, F256, 4, 12) (dual of [(2097409, 4), 8389594, 13]-NRT-code) | [i] | ||
| 5 | Linear OOA(25643, 2097664, F256, 4, 12) (dual of [(2097664, 4), 8390613, 13]-NRT-code) | [i] | ||
| 6 | Linear OOA(25644, 2097665, F256, 4, 12) (dual of [(2097665, 4), 8390616, 13]-NRT-code) | [i] | ||
| 7 | Linear OOA(25645, 2118996, F256, 4, 12) (dual of [(2118996, 4), 8475939, 13]-NRT-code) | [i] | ||
| 8 | Linear OOA(25646, 2118997, F256, 4, 12) (dual of [(2118997, 4), 8475942, 13]-NRT-code) | [i] | ||
| 9 | Linear OOA(25647, 2118998, F256, 4, 12) (dual of [(2118998, 4), 8475945, 13]-NRT-code) | [i] | ||
| 10 | Linear OOA(25648, 2162941, F256, 4, 12) (dual of [(2162941, 4), 8651716, 13]-NRT-code) | [i] | ||
| 11 | Linear OOA(25649, 2162942, F256, 4, 12) (dual of [(2162942, 4), 8651719, 13]-NRT-code) | [i] | ||
| 12 | Linear OOA(25648, 2162942, F256, 4, 12) (dual of [(2162942, 4), 8651720, 13]-NRT-code) | [i] | ||
| 13 | Linear OOA(25649, 2162943, F256, 4, 12) (dual of [(2162943, 4), 8651723, 13]-NRT-code) | [i] | ||
| 14 | Linear OOA(25667, 7667880, F256, 4, 12) (dual of [(7667880, 4), 30671453, 13]-NRT-code) | [i] | Generalized (u, u+v)-Construction for OOAs | |
| 15 | Linear OOA(25668, 7668135, F256, 4, 12) (dual of [(7668135, 4), 30672472, 13]-NRT-code) | [i] | ||
| 16 | Linear OOA(25663, 4292220, F256, 4, 12) (dual of [(4292220, 4), 17168817, 13]-NRT-code) | [i] | ||
| 17 | Linear OOA(25664, 4325886, F256, 4, 12) (dual of [(4325886, 4), 17303480, 13]-NRT-code) | [i] | ||
| 18 | Linear OOA(25665, 4391166, F256, 4, 12) (dual of [(4391166, 4), 17564599, 13]-NRT-code) | [i] | ||
| 19 | Linear OOA(25665, 6291964, F256, 4, 12) (dual of [(6291964, 4), 25167791, 13]-NRT-code) | [i] | ||
| 20 | Linear OOA(25668, large, F256, 4, 12) | [i] | ||
| 21 | Linear OOA(25659, 4227197, F256, 4, 12) (dual of [(4227197, 4), 16908729, 13]-NRT-code) | [i] | ||
| 22 | Linear OOA(25660, 4259580, F256, 4, 12) (dual of [(4259580, 4), 17038260, 13]-NRT-code) | [i] | ||
| 23 | Linear OOA(25661, 4259838, F256, 4, 12) (dual of [(4259838, 4), 17039291, 13]-NRT-code) | [i] | ||
| 24 | Linear OOA(25661, 4260349, F256, 4, 12) (dual of [(4260349, 4), 17041335, 13]-NRT-code) | [i] | ||
| 25 | Linear OOA(25662, 4325629, F256, 4, 12) (dual of [(4325629, 4), 17302454, 13]-NRT-code) | [i] | ||
| 26 | Linear OOA(25663, 4325884, F256, 4, 12) (dual of [(4325884, 4), 17303473, 13]-NRT-code) | [i] | ||
| 27 | Linear OOA(25663, 6291707, F256, 4, 12) (dual of [(6291707, 4), 25166765, 13]-NRT-code) | [i] | ||
| 28 | Linear OOA(25664, 6356987, F256, 4, 12) (dual of [(6356987, 4), 25427884, 13]-NRT-code) | [i] | ||
| 29 | Linear OOA(25665, 6422787, F256, 4, 12) (dual of [(6422787, 4), 25691083, 13]-NRT-code) | [i] | ||
| 30 | Linear OOA(25666, 8388600, F256, 4, 12) (dual of [(8388600, 4), 33554334, 13]-NRT-code) | [i] | ||
| 31 | Linear OOA(25654, 4194557, F256, 4, 12) (dual of [(4194557, 4), 16778174, 13]-NRT-code) | [i] | ||
| 32 | Linear OOA(25655, 4194558, F256, 4, 12) (dual of [(4194558, 4), 16778177, 13]-NRT-code) | [i] | ||
| 33 | Linear OOA(25656, 4226940, F256, 4, 12) (dual of [(4226940, 4), 16907704, 13]-NRT-code) | [i] | ||
| 34 | Linear OOA(25657, 4227069, F256, 4, 12) (dual of [(4227069, 4), 16908219, 13]-NRT-code) | [i] | ||
| 35 | Linear OOA(25658, 4260092, F256, 4, 12) (dual of [(4260092, 4), 17040310, 13]-NRT-code) | [i] | ||
| 36 | Linear OOA(25659, 4260093, F256, 4, 12) (dual of [(4260093, 4), 17040313, 13]-NRT-code) | [i] | ||
| 37 | Linear OOA(25660, 6291450, F256, 4, 12) (dual of [(6291450, 4), 25165740, 13]-NRT-code) | [i] | ||