Information on Result #619807
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
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and t, 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 OA(25643, large, F256, 14) (dual of [large, large−43, 15]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(25643, large, F256, 13) (dual of [large, large−43, 14]-code) | [i] | ||
| 3 | Linear OA(25643, large, F256, 12) (dual of [large, large−43, 13]-code) | [i] | ||
| 4 | Linear OA(25643, large, F256, 11) (dual of [large, large−43, 12]-code) | [i] | ||
| 5 | Linear OA(25643, large, F256, 10) (dual of [large, large−43, 11]-code) | [i] | ||
| 6 | Linear OA(25643, large, F256, 9) (dual of [large, large−43, 10]-code) | [i] | ||
| 7 | Linear OA(25643, large, F256, 8) (dual of [large, large−43, 9]-code) | [i] | ||
| 8 | Linear OA(25643, large, F256, 7) (dual of [large, large−43, 8]-code) | [i] | ||
| 9 | Linear OA(25643, large, F256, 6) (dual of [large, large−43, 7]-code) | [i] | ||
| 10 | Linear OA(25643, large, F256, 5) (dual of [large, large−43, 6]-code) | [i] | ||
| 11 | Linear OA(25643, large, F256, 4) (dual of [large, large−43, 5]-code) | [i] | ||
| 12 | Linear OA(25643, large, F256, 3) (dual of [large, large−43, 4]-code) | [i] | ||
| 13 | Linear OA(25644, large, F256, 15) (dual of [large, large−44, 16]-code) | [i] | Code Embedding in Larger Space | |
| 14 | Linear OA(25645, large, F256, 15) (dual of [large, large−45, 16]-code) | [i] | ||
| 15 | Linear OA(25647, large, F256, 15) (dual of [large, large−47, 16]-code) | [i] | ||
| 16 | Linear OA(25648, large, F256, 15) (dual of [large, large−48, 16]-code) | [i] | ||
| 17 | Linear OA(25650, large, F256, 15) (dual of [large, large−50, 16]-code) | [i] | ||
| 18 | Linear OA(25651, large, F256, 15) (dual of [large, large−51, 16]-code) | [i] | ||
| 19 | Linear OA(25653, large, F256, 15) (dual of [large, large−53, 16]-code) | [i] | ||
| 20 | Linear OA(25654, large, F256, 15) (dual of [large, large−54, 16]-code) | [i] | ||
| 21 | Linear OA(25656, large, F256, 15) (dual of [large, large−56, 16]-code) | [i] | ||
| 22 | Linear OA(25657, large, F256, 15) (dual of [large, large−57, 16]-code) | [i] | ||
| 23 | Linear OA(25659, large, F256, 15) (dual of [large, large−59, 16]-code) | [i] | ||
| 24 | Linear OA(25660, large, F256, 15) (dual of [large, large−60, 16]-code) | [i] | ||
| 25 | Linear OA(25662, large, F256, 15) (dual of [large, large−62, 16]-code) | [i] | ||
| 26 | Linear OA(25663, large, F256, 15) (dual of [large, large−63, 16]-code) | [i] | ||
| 27 | Linear OA(25665, large, F256, 15) (dual of [large, large−65, 16]-code) | [i] | ||
| 28 | Linear OA(25666, large, F256, 15) (dual of [large, large−66, 16]-code) | [i] | ||
| 29 | Linear OA(25668, large, F256, 15) (dual of [large, large−68, 16]-code) | [i] | ||
| 30 | OA(12850, large, S128, 15) | [i] | Discarding Parts of the Base for OAs | |
| 31 | Linear OOA(25643, 4194301, F256, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code) | [i] | OOA Folding | |
| 32 | Linear OOA(25643, 2796201, F256, 3, 15) (dual of [(2796201, 3), 8388560, 16]-NRT-code) | [i] | ||
| 33 | Linear OOA(25643, 2097150, F256, 4, 15) (dual of [(2097150, 4), 8388557, 16]-NRT-code) | [i] | ||
| 34 | Linear OOA(25643, 1677720, F256, 5, 15) (dual of [(1677720, 5), 8388557, 16]-NRT-code) | [i] | ||
| 35 | Linear OOA(25643, 1398100, F256, 6, 15) (dual of [(1398100, 6), 8388557, 16]-NRT-code) | [i] | ||
| 36 | Linear OOA(25643, 1198371, F256, 15, 15) (dual of [(1198371, 15), 17975522, 16]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |