Information on Result #614294
Linear OA(743, 823543, F7, 8) (dual of [823543, 823500, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n 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(747, 823551, F7, 8) (dual of [823551, 823504, 9]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(748, 823554, F7, 8) (dual of [823554, 823506, 9]-code) | [i] | ||
| 3 | Linear OA(748, 823549, F7, 8) (dual of [823549, 823501, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(750, 823550, F7, 9) (dual of [823550, 823500, 10]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(744, 823551, F7, 8) (dual of [823551, 823507, 9]-code) | [i] | ✔ | |
| 6 | Linear OA(758, 823558, F7, 10) (dual of [823558, 823500, 11]-code) | [i] | ✔ | |
| 7 | Linear OA(746, 823560, F7, 8) (dual of [823560, 823514, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(767, 823567, F7, 11) (dual of [823567, 823500, 12]-code) | [i] | ✔ | |
| 9 | Linear OA(747, 823568, F7, 8) (dual of [823568, 823521, 9]-code) | [i] | ✔ | |
| 10 | Linear OA(775, 823575, F7, 12) (dual of [823575, 823500, 13]-code) | [i] | ✔ | |
| 11 | Linear OA(784, 823584, F7, 13) (dual of [823584, 823500, 14]-code) | [i] | ✔ | |
| 12 | Linear OA(796, 823593, F7, 15) (dual of [823593, 823497, 16]-code) | [i] | ✔ | |
| 13 | Linear OA(792, 823586, F7, 14) (dual of [823586, 823494, 15]-code) | [i] | ✔ | |
| 14 | Linear OA(794, 823594, F7, 14) (dual of [823594, 823500, 15]-code) | [i] | ✔ | |
| 15 | Linear OA(796, 823595, F7, 15) (dual of [823595, 823499, 16]-code) | [i] | ✔ | |
| 16 | Linear OA(769, 823570, F7, 11) (dual of [823570, 823501, 12]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 17 | Linear OA(752, 823553, F7, 9) (dual of [823553, 823501, 10]-code) | [i] | ✔ | |
| 18 | Linear OA(748, 823570, F7, 8) (dual of [823570, 823522, 9]-code) | [i] | ✔ | |
| 19 | Linear OA(744, 823552, F7, 8) (dual of [823552, 823508, 9]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 20 | Linear OA(758, 823559, F7, 10) (dual of [823559, 823501, 11]-code) | [i] | ✔ | |
| 21 | Linear OOA(743, 411771, F7, 2, 8) (dual of [(411771, 2), 823499, 9]-NRT-code) | [i] | OOA Folding | |
| 22 | Linear OOA(743, 274514, F7, 3, 8) (dual of [(274514, 3), 823499, 9]-NRT-code) | [i] | ||
| 23 | Linear OOA(743, 205885, F7, 8, 8) (dual of [(205885, 8), 1647037, 9]-NRT-code) | [i] | OA Folding and Stacking | |