Information on Result #619762
Linear OA(25613, large, F256, 5) (dual of [large, large−13, 6]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,4], and designed minimum distance d ≥ |I|+1 = 6
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(25613, large, F256, 4) (dual of [large, large−13, 5]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(25613, large, F256, 3) (dual of [large, large−13, 4]-code) | [i] | ||
| 3 | Linear OA(25614, large, F256, 5) (dual of [large, large−14, 6]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(25615, large, F256, 5) (dual of [large, large−15, 6]-code) | [i] | ||
| 5 | Linear OA(25617, large, F256, 5) (dual of [large, large−17, 6]-code) | [i] | ||
| 6 | Linear OA(25618, large, F256, 5) (dual of [large, large−18, 6]-code) | [i] | ||
| 7 | Linear OA(25620, large, F256, 5) (dual of [large, large−20, 6]-code) | [i] | ||
| 8 | Linear OA(25621, large, F256, 5) (dual of [large, large−21, 6]-code) | [i] | ||
| 9 | Linear OA(25623, large, F256, 5) (dual of [large, large−23, 6]-code) | [i] | ||
| 10 | Linear OA(25624, large, F256, 5) (dual of [large, large−24, 6]-code) | [i] | ||
| 11 | Linear OA(25626, large, F256, 5) (dual of [large, large−26, 6]-code) | [i] | ||
| 12 | Linear OA(25627, large, F256, 5) (dual of [large, large−27, 6]-code) | [i] | ||
| 13 | Linear OA(25629, large, F256, 5) (dual of [large, large−29, 6]-code) | [i] | ||
| 14 | Linear OA(25630, large, F256, 5) (dual of [large, large−30, 6]-code) | [i] | ||
| 15 | Linear OA(25632, large, F256, 5) (dual of [large, large−32, 6]-code) | [i] | ||
| 16 | Linear OA(25633, large, F256, 5) (dual of [large, large−33, 6]-code) | [i] | ||
| 17 | Linear OA(25635, large, F256, 5) (dual of [large, large−35, 6]-code) | [i] | ||
| 18 | Linear OA(25636, large, F256, 5) (dual of [large, large−36, 6]-code) | [i] | ||
| 19 | Linear OA(25638, large, F256, 5) (dual of [large, large−38, 6]-code) | [i] | ||
| 20 | Linear OA(25639, large, F256, 5) (dual of [large, large−39, 6]-code) | [i] | ||
| 21 | Linear OA(25641, large, F256, 5) (dual of [large, large−41, 6]-code) | [i] | ||
| 22 | Linear OA(25642, large, F256, 5) (dual of [large, large−42, 6]-code) | [i] | ||
| 23 | Linear OA(25644, large, F256, 5) (dual of [large, large−44, 6]-code) | [i] | ||
| 24 | Linear OA(25645, large, F256, 5) (dual of [large, large−45, 6]-code) | [i] | ||
| 25 | Linear OA(25647, large, F256, 5) (dual of [large, large−47, 6]-code) | [i] | ||
| 26 | Linear OA(25648, large, F256, 5) (dual of [large, large−48, 6]-code) | [i] | ||
| 27 | Linear OA(25650, large, F256, 5) (dual of [large, large−50, 6]-code) | [i] | ||
| 28 | Linear OA(25651, large, F256, 5) (dual of [large, large−51, 6]-code) | [i] | ||
| 29 | Linear OA(25653, large, F256, 5) (dual of [large, large−53, 6]-code) | [i] | ||
| 30 | Linear OA(25654, large, F256, 5) (dual of [large, large−54, 6]-code) | [i] | ||
| 31 | Linear OA(25656, large, F256, 5) (dual of [large, large−56, 6]-code) | [i] | ||
| 32 | Linear OA(25657, large, F256, 5) (dual of [large, large−57, 6]-code) | [i] | ||
| 33 | Linear OA(25659, large, F256, 5) (dual of [large, large−59, 6]-code) | [i] | ||
| 34 | Linear OA(25660, large, F256, 5) (dual of [large, large−60, 6]-code) | [i] | ||
| 35 | Linear OA(25662, large, F256, 5) (dual of [large, large−62, 6]-code) | [i] | ||
| 36 | Linear OA(25663, large, F256, 5) (dual of [large, large−63, 6]-code) | [i] | ||
| 37 | Linear OA(25665, large, F256, 5) (dual of [large, large−65, 6]-code) | [i] | ||
| 38 | Linear OA(25666, large, F256, 5) (dual of [large, large−66, 6]-code) | [i] | ||
| 39 | Linear OA(25668, large, F256, 5) (dual of [large, large−68, 6]-code) | [i] | ||
| 40 | OA(12815, large, S128, 5) | [i] | Discarding Parts of the Base for OAs | |
| 41 | Linear OOA(25613, large, F256, 2, 5) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 42 | Linear OOA(25613, large, F256, 3, 5) | [i] | ||
| 43 | Linear OOA(25613, large, F256, 4, 5) | [i] | ||
| 44 | Linear OOA(25613, 4194301, F256, 2, 5) (dual of [(4194301, 2), 8388589, 6]-NRT-code) | [i] | OOA Folding | |