Information on Result #614677
Linear OA(797, 172, F7, 44) (dual of [172, 75, 45]-code), using an extension Ce(43) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44
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, 175, F7, 45) (dual of [175, 75, 46]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(797, 175, F7, 44) (dual of [175, 78, 45]-code) | [i] | ✔ | |
| 3 | Linear OA(7105, 180, F7, 47) (dual of [180, 75, 48]-code) | [i] | ✔ | |
| 4 | Linear OA(799, 180, F7, 44) (dual of [180, 81, 45]-code) | [i] | ✔ | |
| 5 | Linear OA(7110, 185, F7, 48) (dual of [185, 75, 49]-code) | [i] | ✔ | |
| 6 | Linear OA(7101, 185, F7, 44) (dual of [185, 84, 45]-code) | [i] | ✔ | |
| 7 | Linear OA(7104, 191, F7, 44) (dual of [191, 87, 45]-code) | [i] | ✔ | |
| 8 | Linear OA(7107, 197, F7, 44) (dual of [197, 90, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(7108, 199, F7, 44) (dual of [199, 91, 45]-code) | [i] | ✔ | |
| 10 | Linear OA(7109, 202, F7, 44) (dual of [202, 93, 45]-code) | [i] | ✔ | |
| 11 | Linear OA(7105, 181, F7, 46) (dual of [181, 76, 47]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(7103, 188, F7, 44) (dual of [188, 85, 45]-code) | [i] | ✔ | |
| 13 | Linear OA(7106, 195, F7, 44) (dual of [195, 89, 45]-code) | [i] | ✔ | |
| 14 | Linear OA(7105, 193, F7, 44) (dual of [193, 88, 45]-code) | [i] | ✔ | |