Information on Result #614634
Linear OA(785, 172, F7, 38) (dual of [172, 87, 39]-code), using an extension Ce(37) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38
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(789, 176, F7, 40) (dual of [176, 87, 41]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 2 | Linear OA(785, 175, F7, 38) (dual of [175, 90, 39]-code) | [i] | ✔ | |
| 3 | Linear OA(793, 180, F7, 41) (dual of [180, 87, 42]-code) | [i] | ✔ | |
| 4 | Linear OA(786, 179, F7, 38) (dual of [179, 93, 39]-code) | [i] | ✔ | |
| 5 | Linear OA(7100, 187, F7, 43) (dual of [187, 87, 44]-code) | [i] | ✔ | |
| 6 | Linear OA(798, 185, F7, 42) (dual of [185, 87, 43]-code) | [i] | ✔ | |
| 7 | Linear OA(789, 185, F7, 38) (dual of [185, 96, 39]-code) | [i] | ✔ | |
| 8 | Linear OA(7104, 191, F7, 44) (dual of [191, 87, 45]-code) | [i] | ✔ | |
| 9 | Linear OA(791, 190, F7, 38) (dual of [190, 99, 39]-code) | [i] | ✔ | |
| 10 | Linear OA(7110, 197, F7, 45) (dual of [197, 87, 46]-code) | [i] | ✔ | |
| 11 | Linear OA(795, 197, F7, 38) (dual of [197, 102, 39]-code) | [i] | ✔ | |
| 12 | Linear OA(796, 199, F7, 38) (dual of [199, 103, 39]-code) | [i] | ✔ | |
| 13 | Linear OA(7109, 195, F7, 45) (dual of [195, 86, 46]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 14 | Linear OA(7108, 193, F7, 45) (dual of [193, 85, 46]-code) | [i] | ✔ | |
| 15 | Linear OA(7103, 188, F7, 44) (dual of [188, 85, 45]-code) | [i] | ✔ | |
| 16 | Linear OA(7106, 195, F7, 44) (dual of [195, 89, 45]-code) | [i] | ✔ | |
| 17 | Linear OA(7105, 193, F7, 44) (dual of [193, 88, 45]-code) | [i] | ✔ | |
| 18 | Linear OA(799, 184, F7, 43) (dual of [184, 85, 44]-code) | [i] | ✔ | |
| 19 | Linear OA(797, 182, F7, 42) (dual of [182, 85, 43]-code) | [i] | ✔ | |
| 20 | Linear OA(799, 187, F7, 42) (dual of [187, 88, 43]-code) | [i] | ✔ | |
| 21 | Linear OA(788, 182, F7, 38) (dual of [182, 94, 39]-code) | [i] | ✔ | |
| 22 | Linear OA(790, 187, F7, 38) (dual of [187, 97, 39]-code) | [i] | ✔ | |
| 23 | Linear OA(794, 195, F7, 38) (dual of [195, 101, 39]-code) | [i] | ✔ | |
| 24 | Linear OA(793, 193, F7, 38) (dual of [193, 100, 39]-code) | [i] | ✔ | |