Information on Result #619771
Linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8
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(25619, large, F256, 6) (dual of [large, large−19, 7]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(25619, large, F256, 5) (dual of [large, large−19, 6]-code) | [i] | ||
| 3 | Linear OA(25619, large, F256, 4) (dual of [large, large−19, 5]-code) | [i] | ||
| 4 | Linear OA(25619, large, F256, 3) (dual of [large, large−19, 4]-code) | [i] | ||
| 5 | Linear OA(25620, large, F256, 7) (dual of [large, large−20, 8]-code) | [i] | Code Embedding in Larger Space | |
| 6 | Linear OA(25621, large, F256, 7) (dual of [large, large−21, 8]-code) | [i] | ||
| 7 | Linear OA(25623, large, F256, 7) (dual of [large, large−23, 8]-code) | [i] | ||
| 8 | Linear OA(25624, large, F256, 7) (dual of [large, large−24, 8]-code) | [i] | ||
| 9 | Linear OA(25626, large, F256, 7) (dual of [large, large−26, 8]-code) | [i] | ||
| 10 | Linear OA(25627, large, F256, 7) (dual of [large, large−27, 8]-code) | [i] | ||
| 11 | Linear OA(25629, large, F256, 7) (dual of [large, large−29, 8]-code) | [i] | ||
| 12 | Linear OA(25630, large, F256, 7) (dual of [large, large−30, 8]-code) | [i] | ||
| 13 | Linear OA(25632, large, F256, 7) (dual of [large, large−32, 8]-code) | [i] | ||
| 14 | Linear OA(25633, large, F256, 7) (dual of [large, large−33, 8]-code) | [i] | ||
| 15 | Linear OA(25635, large, F256, 7) (dual of [large, large−35, 8]-code) | [i] | ||
| 16 | Linear OA(25636, large, F256, 7) (dual of [large, large−36, 8]-code) | [i] | ||
| 17 | Linear OA(25638, large, F256, 7) (dual of [large, large−38, 8]-code) | [i] | ||
| 18 | Linear OA(25639, large, F256, 7) (dual of [large, large−39, 8]-code) | [i] | ||
| 19 | Linear OA(25641, large, F256, 7) (dual of [large, large−41, 8]-code) | [i] | ||
| 20 | Linear OA(25642, large, F256, 7) (dual of [large, large−42, 8]-code) | [i] | ||
| 21 | Linear OA(25644, large, F256, 7) (dual of [large, large−44, 8]-code) | [i] | ||
| 22 | Linear OA(25645, large, F256, 7) (dual of [large, large−45, 8]-code) | [i] | ||
| 23 | Linear OA(25647, large, F256, 7) (dual of [large, large−47, 8]-code) | [i] | ||
| 24 | Linear OA(25648, large, F256, 7) (dual of [large, large−48, 8]-code) | [i] | ||
| 25 | Linear OA(25650, large, F256, 7) (dual of [large, large−50, 8]-code) | [i] | ||
| 26 | Linear OA(25651, large, F256, 7) (dual of [large, large−51, 8]-code) | [i] | ||
| 27 | Linear OA(25653, large, F256, 7) (dual of [large, large−53, 8]-code) | [i] | ||
| 28 | Linear OA(25654, large, F256, 7) (dual of [large, large−54, 8]-code) | [i] | ||
| 29 | Linear OA(25656, large, F256, 7) (dual of [large, large−56, 8]-code) | [i] | ||
| 30 | Linear OA(25657, large, F256, 7) (dual of [large, large−57, 8]-code) | [i] | ||
| 31 | Linear OA(25659, large, F256, 7) (dual of [large, large−59, 8]-code) | [i] | ||
| 32 | Linear OA(25660, large, F256, 7) (dual of [large, large−60, 8]-code) | [i] | ||
| 33 | Linear OA(25662, large, F256, 7) (dual of [large, large−62, 8]-code) | [i] | ||
| 34 | Linear OA(25663, large, F256, 7) (dual of [large, large−63, 8]-code) | [i] | ||
| 35 | Linear OA(25665, large, F256, 7) (dual of [large, large−65, 8]-code) | [i] | ||
| 36 | Linear OA(25666, large, F256, 7) (dual of [large, large−66, 8]-code) | [i] | ||
| 37 | Linear OA(25668, large, F256, 7) (dual of [large, large−68, 8]-code) | [i] | ||
| 38 | OA(12822, large, S128, 7) | [i] | Discarding Parts of the Base for OAs | |
| 39 | Linear OOA(25619, 4774851, F256, 2, 7) (dual of [(4774851, 2), 9549683, 8]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 40 | Linear OOA(25619, 4774851, F256, 3, 7) (dual of [(4774851, 3), 14324534, 8]-NRT-code) | [i] | ||
| 41 | Linear OOA(25619, 4774851, F256, 4, 7) (dual of [(4774851, 4), 19099385, 8]-NRT-code) | [i] | ||
| 42 | Linear OOA(25619, 4774851, F256, 5, 7) (dual of [(4774851, 5), 23874236, 8]-NRT-code) | [i] | ||
| 43 | Linear OOA(25619, 4774851, F256, 6, 7) (dual of [(4774851, 6), 28649087, 8]-NRT-code) | [i] | ||
| 44 | Linear OOA(25619, 4194301, F256, 2, 7) (dual of [(4194301, 2), 8388583, 8]-NRT-code) | [i] | OOA Folding | |
| 45 | Linear OOA(25619, 2796201, F256, 3, 7) (dual of [(2796201, 3), 8388584, 8]-NRT-code) | [i] | ||
| 46 | Linear OOA(25619, 2796200, F256, 4, 7) (dual of [(2796200, 4), 11184781, 8]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 47 | Linear OOA(25619, 2796200, F256, 5, 7) (dual of [(2796200, 5), 13980981, 8]-NRT-code) | [i] | ||
| 48 | Linear OOA(25619, 2796200, F256, 6, 7) (dual of [(2796200, 6), 16777181, 8]-NRT-code) | [i] | ||