Information on Result #619755
Linear OA(25610, large, F256, 4) (dual of [large, large−10, 5]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,3], and designed minimum distance d ≥ |I|+1 = 5
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(25610, large, F256, 3) (dual of [large, large−10, 4]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(25611, large, F256, 4) (dual of [large, large−11, 5]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(25612, large, F256, 4) (dual of [large, large−12, 5]-code) | [i] | ||
| 4 | Linear OA(25614, large, F256, 4) (dual of [large, large−14, 5]-code) | [i] | ||
| 5 | Linear OA(25615, large, F256, 4) (dual of [large, large−15, 5]-code) | [i] | ||
| 6 | Linear OA(25617, large, F256, 4) (dual of [large, large−17, 5]-code) | [i] | ||
| 7 | Linear OA(25618, large, F256, 4) (dual of [large, large−18, 5]-code) | [i] | ||
| 8 | Linear OA(25620, large, F256, 4) (dual of [large, large−20, 5]-code) | [i] | ||
| 9 | Linear OA(25621, large, F256, 4) (dual of [large, large−21, 5]-code) | [i] | ||
| 10 | Linear OA(25623, large, F256, 4) (dual of [large, large−23, 5]-code) | [i] | ||
| 11 | Linear OA(25624, large, F256, 4) (dual of [large, large−24, 5]-code) | [i] | ||
| 12 | Linear OA(25626, large, F256, 4) (dual of [large, large−26, 5]-code) | [i] | ||
| 13 | Linear OA(25627, large, F256, 4) (dual of [large, large−27, 5]-code) | [i] | ||
| 14 | Linear OA(25629, large, F256, 4) (dual of [large, large−29, 5]-code) | [i] | ||
| 15 | Linear OA(25630, large, F256, 4) (dual of [large, large−30, 5]-code) | [i] | ||
| 16 | Linear OA(25632, large, F256, 4) (dual of [large, large−32, 5]-code) | [i] | ||
| 17 | Linear OA(25633, large, F256, 4) (dual of [large, large−33, 5]-code) | [i] | ||
| 18 | Linear OA(25635, large, F256, 4) (dual of [large, large−35, 5]-code) | [i] | ||
| 19 | Linear OA(25636, large, F256, 4) (dual of [large, large−36, 5]-code) | [i] | ||
| 20 | Linear OA(25638, large, F256, 4) (dual of [large, large−38, 5]-code) | [i] | ||
| 21 | Linear OA(25639, large, F256, 4) (dual of [large, large−39, 5]-code) | [i] | ||
| 22 | Linear OA(25641, large, F256, 4) (dual of [large, large−41, 5]-code) | [i] | ||
| 23 | Linear OA(25642, large, F256, 4) (dual of [large, large−42, 5]-code) | [i] | ||
| 24 | Linear OA(25644, large, F256, 4) (dual of [large, large−44, 5]-code) | [i] | ||
| 25 | Linear OA(25645, large, F256, 4) (dual of [large, large−45, 5]-code) | [i] | ||
| 26 | Linear OA(25647, large, F256, 4) (dual of [large, large−47, 5]-code) | [i] | ||
| 27 | Linear OA(25648, large, F256, 4) (dual of [large, large−48, 5]-code) | [i] | ||
| 28 | Linear OA(25650, large, F256, 4) (dual of [large, large−50, 5]-code) | [i] | ||
| 29 | Linear OA(25651, large, F256, 4) (dual of [large, large−51, 5]-code) | [i] | ||
| 30 | Linear OA(25653, large, F256, 4) (dual of [large, large−53, 5]-code) | [i] | ||
| 31 | Linear OA(25654, large, F256, 4) (dual of [large, large−54, 5]-code) | [i] | ||
| 32 | Linear OA(25656, large, F256, 4) (dual of [large, large−56, 5]-code) | [i] | ||
| 33 | Linear OA(25657, large, F256, 4) (dual of [large, large−57, 5]-code) | [i] | ||
| 34 | Linear OA(25659, large, F256, 4) (dual of [large, large−59, 5]-code) | [i] | ||
| 35 | Linear OA(25660, large, F256, 4) (dual of [large, large−60, 5]-code) | [i] | ||
| 36 | Linear OA(25662, large, F256, 4) (dual of [large, large−62, 5]-code) | [i] | ||
| 37 | Linear OA(25663, large, F256, 4) (dual of [large, large−63, 5]-code) | [i] | ||
| 38 | Linear OA(25665, large, F256, 4) (dual of [large, large−65, 5]-code) | [i] | ||
| 39 | Linear OA(25666, large, F256, 4) (dual of [large, large−66, 5]-code) | [i] | ||
| 40 | Linear OA(25668, large, F256, 4) (dual of [large, large−68, 5]-code) | [i] | ||
| 41 | OA(12812, large, S128, 4) | [i] | Discarding Parts of the Base for OAs | |
| 42 | Linear OOA(25610, large, F256, 2, 4) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 43 | Linear OOA(25610, large, F256, 3, 4) | [i] | ||
| 44 | Linear OOA(25610, 4194301, F256, 2, 4) (dual of [(4194301, 2), 8388592, 5]-NRT-code) | [i] | OOA Folding | |
| 45 | Linear OOA(25610, 4194301, F256, 3, 4) (dual of [(4194301, 3), 12582893, 5]-NRT-code) | [i] | OA Folding and Stacking | |
| 46 | Linear OOA(25610, 4194301, F256, 4, 4) (dual of [(4194301, 4), 16777194, 5]-NRT-code) | [i] | ||