Information on Result #614409
Linear OA(792, 823543, F7, 16) (dual of [823543, 823451, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 823542 = 77−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16
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(7100, 823552, F7, 16) (dual of [823552, 823452, 17]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(7101, 823554, F7, 16) (dual of [823554, 823453, 17]-code) | [i] | ||
| 3 | Linear OA(7102, 823563, F7, 16) (dual of [823563, 823461, 17]-code) | [i] | ||
| 4 | Linear OA(7104, 823571, F7, 16) (dual of [823571, 823467, 17]-code) | [i] | ||
| 5 | Linear OA(7103, 823555, F7, 16) (dual of [823555, 823452, 17]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 6 | Linear OA(7104, 823557, F7, 16) (dual of [823557, 823453, 17]-code) | [i] | ||
| 7 | Linear OA(799, 823550, F7, 17) (dual of [823550, 823451, 18]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 8 | Linear OA(792, 823550, F7, 16) (dual of [823550, 823458, 17]-code) | [i] | ✔ | |
| 9 | Linear OA(7107, 823558, F7, 18) (dual of [823558, 823451, 19]-code) | [i] | ✔ | |
| 10 | Linear OA(795, 823560, F7, 16) (dual of [823560, 823465, 17]-code) | [i] | ✔ | |
| 11 | Linear OA(796, 823568, F7, 16) (dual of [823568, 823472, 17]-code) | [i] | ✔ | |
| 12 | Linear OA(798, 823577, F7, 16) (dual of [823577, 823479, 17]-code) | [i] | ✔ | |
| 13 | Linear OA(799, 823585, F7, 16) (dual of [823585, 823486, 17]-code) | [i] | ✔ | |
| 14 | Linear OA(7103, 823593, F7, 16) (dual of [823593, 823490, 17]-code) | [i] | ✔ | |
| 15 | Linear OA(7104, 823597, F7, 16) (dual of [823597, 823493, 17]-code) | [i] | ✔ | |
| 16 | Linear OA(7103, 823595, F7, 16) (dual of [823595, 823492, 17]-code) | [i] | ✔ | |
| 17 | Linear OA(7108, 823560, F7, 18) (dual of [823560, 823452, 19]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(794, 823553, F7, 16) (dual of [823553, 823459, 17]-code) | [i] | ✔ | |
| 19 | Linear OA(797, 823570, F7, 16) (dual of [823570, 823473, 17]-code) | [i] | ✔ | |