Information on Result #614627

Linear OA(782, 172, F7, 37) (dual of [172, 90, 38]-code), using an extension Ce(36) of the narrow-sense BCH-code C(I) with length 171 | 73−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37

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(785, 175, F7, 38) (dual of [175, 90, 39]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(782, 175, F7, 37) (dual of [175, 93, 38]-code) [i]✔
3Linear OA(790, 180, F7, 40) (dual of [180, 90, 41]-code) [i]✔
4Linear OA(784, 180, F7, 37) (dual of [180, 96, 38]-code) [i]✔
5Linear OA(795, 185, F7, 41) (dual of [185, 90, 42]-code) [i]✔
6Linear OA(786, 185, F7, 37) (dual of [185, 99, 38]-code) [i]✔
7Linear OA(7101, 191, F7, 43) (dual of [191, 90, 44]-code) [i]✔
8Linear OA(789, 191, F7, 37) (dual of [191, 102, 38]-code) [i]✔
9Linear OA(7107, 197, F7, 44) (dual of [197, 90, 45]-code) [i]✔
10Linear OA(792, 197, F7, 37) (dual of [197, 105, 38]-code) [i]✔
11Linear OA(793, 199, F7, 37) (dual of [199, 106, 38]-code) [i]✔
12Linear OA(7106, 195, F7, 44) (dual of [195, 89, 45]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
13Linear OA(7105, 193, F7, 44) (dual of [193, 88, 45]-code) [i]✔
14Linear OA(799, 187, F7, 42) (dual of [187, 88, 43]-code) [i]✔
15Linear OA(7103, 195, F7, 43) (dual of [195, 92, 44]-code) [i]✔
16Linear OA(7102, 193, F7, 43) (dual of [193, 91, 44]-code) [i]✔
17Linear OA(796, 187, F7, 41) (dual of [187, 91, 42]-code) [i]✔
18Linear OA(790, 181, F7, 39) (dual of [181, 91, 40]-code) [i]✔
19Linear OA(788, 188, F7, 37) (dual of [188, 100, 38]-code) [i]✔
20Linear OA(791, 195, F7, 37) (dual of [195, 104, 38]-code) [i]✔
21Linear OA(790, 193, F7, 37) (dual of [193, 103, 38]-code) [i]✔