Information on Result #614662

Linear OA(791, 172, F7, 41) (dual of [172, 81, 42]-code), using an extension Ce(40) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41

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:

ResultThis
result
only		Method
1Linear OA(795, 176, F7, 43) (dual of [176, 81, 44]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(791, 175, F7, 41) (dual of [175, 84, 42]-code) [i]✔
3Linear OA(799, 180, F7, 44) (dual of [180, 81, 45]-code) [i]✔
4Linear OA(793, 180, F7, 41) (dual of [180, 87, 42]-code) [i]✔
5Linear OA(7104, 185, F7, 45) (dual of [185, 81, 46]-code) [i]✔
6Linear OA(795, 185, F7, 41) (dual of [185, 90, 42]-code) [i]✔
7Linear OA(7110, 191, F7, 47) (dual of [191, 81, 48]-code) [i]✔
8Linear OA(797, 190, F7, 41) (dual of [190, 93, 42]-code) [i]✔
9Linear OA(7101, 197, F7, 41) (dual of [197, 96, 42]-code) [i]✔
10Linear OA(7102, 199, F7, 41) (dual of [199, 97, 42]-code) [i]✔
11Linear OA(7103, 202, F7, 41) (dual of [202, 99, 42]-code) [i]✔
12Linear OA(7105, 207, F7, 41) (dual of [207, 102, 42]-code) [i]✔
13Linear OA(7109, 188, F7, 47) (dual of [188, 79, 48]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
14Linear OA(7103, 182, F7, 45) (dual of [182, 79, 46]-code) [i]✔
15Linear OA(7105, 187, F7, 45) (dual of [187, 82, 46]-code) [i]✔
16Linear OA(796, 187, F7, 41) (dual of [187, 91, 42]-code) [i]✔
17Linear OA(7100, 195, F7, 41) (dual of [195, 95, 42]-code) [i]✔
18Linear OA(799, 193, F7, 41) (dual of [193, 94, 42]-code) [i]✔