Information on Result #614456

Linear OA(781, 16808, F7, 19) (dual of [16808, 16727, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 16808 | 710−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound)

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(791, 16820, F7, 19) (dual of [16820, 16729, 20]-code) [i](u, u+v)-Construction
2Linear OA(792, 16822, F7, 19) (dual of [16822, 16730, 20]-code) [i]
3Linear OA(793, 16825, F7, 19) (dual of [16825, 16732, 20]-code) [i]
4Linear OA(794, 16837, F7, 19) (dual of [16837, 16743, 20]-code) [i]
5Linear OA(795, 16857, F7, 19) (dual of [16857, 16762, 20]-code) [i]
6Linear OA(795, 16824, F7, 19) (dual of [16824, 16729, 20]-code) [i](u, u−v, u+v+w)-Construction
7Linear OA(796, 16826, F7, 19) (dual of [16826, 16730, 20]-code) [i]
8Linear OA(790, 16818, F7, 19) (dual of [16818, 16728, 20]-code) [i]✔Construction X with Cyclic Codes
9Linear OA(792, 16819, F7, 21) (dual of [16819, 16727, 22]-code) [i]✔
10Linear OA(782, 16819, F7, 19) (dual of [16819, 16737, 20]-code) [i]✔
11Linear OA(7105, 16832, F7, 23) (dual of [16832, 16727, 24]-code) [i]✔
12Linear OA(785, 16832, F7, 19) (dual of [16832, 16747, 20]-code) [i]✔
13Linear OA(793, 16850, F7, 19) (dual of [16850, 16757, 20]-code) [i]✔
14Linear OA(792, 16843, F7, 19) (dual of [16843, 16751, 20]-code) [i]✔Construction XX with a Chain of Cyclic Codes
15Linear OA(791, 16841, F7, 19) (dual of [16841, 16750, 20]-code) [i]✔
16Linear OA(7102, 16830, F7, 21) (dual of [16830, 16728, 22]-code) [i]✔Construction X4 with Cyclic Codes
17Linear OA(782, 16830, F7, 17) (dual of [16830, 16748, 18]-code) [i]✔