Information on Result #611762

Linear OA(391, 19684, F3, 15) (dual of [19684, 19593, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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(398, 19692, F3, 15) (dual of [19692, 19594, 16]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3110, 19703, F3, 17) (dual of [19703, 19593, 18]-code) [i]✔
3Linear OA(3112, 19688, F3, 19) (dual of [19688, 19576, 20]-code) [i]✔
4Linear OA(3113, 19694, F3, 19) (dual of [19694, 19581, 20]-code) [i]✔
5Linear OA(3114, 19704, F3, 19) (dual of [19704, 19590, 20]-code) [i]✔
6Linear OA(3115, 19708, F3, 19) (dual of [19708, 19593, 20]-code) [i]✔
7Linear OA(3111, 19688, F3, 18) (dual of [19688, 19577, 19]-code) [i]✔
8Linear OA(3112, 19697, F3, 18) (dual of [19697, 19585, 19]-code) [i]✔
9Linear OA(3113, 19706, F3, 18) (dual of [19706, 19593, 19]-code) [i]✔
10Linear OA(392, 19703, F3, 15) (dual of [19703, 19611, 16]-code) [i]✔
11Linear OA(3135, 19712, F3, 21) (dual of [19712, 19577, 22]-code) [i]✔
12Linear OA(3137, 19720, F3, 21) (dual of [19720, 19583, 22]-code) [i]✔
13Linear OA(3138, 19725, F3, 21) (dual of [19725, 19587, 22]-code) [i]✔
14Linear OA(3139, 19732, F3, 21) (dual of [19732, 19593, 22]-code) [i]✔
15Linear OA(399, 19712, F3, 15) (dual of [19712, 19613, 16]-code) [i]✔
16Linear OA(3138, 19731, F3, 21) (dual of [19731, 19593, 22]-code) [i]✔
17Linear OA(3110, 19704, F3, 17) (dual of [19704, 19594, 18]-code) [i]✔Construction X4 with Cyclic Codes
18Linear OA(392, 19704, F3, 15) (dual of [19704, 19612, 16]-code) [i]✔