Information on Result #611885

Linear OA(3127, 19684, F3, 21) (dual of [19684, 19557, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (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(3137, 19695, F3, 21) (dual of [19695, 19558, 22]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(3146, 19703, F3, 23) (dual of [19703, 19557, 24]-code) [i]✔
3Linear OA(3148, 19688, F3, 25) (dual of [19688, 19540, 26]-code) [i]✔
4Linear OA(3149, 19694, F3, 25) (dual of [19694, 19545, 26]-code) [i]✔
5Linear OA(3150, 19704, F3, 25) (dual of [19704, 19554, 26]-code) [i]✔
6Linear OA(3151, 19708, F3, 25) (dual of [19708, 19557, 26]-code) [i]✔
7Linear OA(3147, 19688, F3, 24) (dual of [19688, 19541, 25]-code) [i]✔
8Linear OA(3148, 19697, F3, 24) (dual of [19697, 19549, 25]-code) [i]✔
9Linear OA(3149, 19706, F3, 24) (dual of [19706, 19557, 25]-code) [i]✔
10Linear OA(3128, 19703, F3, 21) (dual of [19703, 19575, 22]-code) [i]✔
11Linear OA(3171, 19712, F3, 27) (dual of [19712, 19541, 28]-code) [i]✔
12Linear OA(3173, 19720, F3, 27) (dual of [19720, 19547, 28]-code) [i]✔
13Linear OA(3174, 19725, F3, 27) (dual of [19725, 19551, 28]-code) [i]✔
14Linear OA(3175, 19732, F3, 27) (dual of [19732, 19557, 28]-code) [i]✔
15Linear OA(3135, 19712, F3, 21) (dual of [19712, 19577, 22]-code) [i]✔
16Linear OA(3137, 19720, F3, 21) (dual of [19720, 19583, 22]-code) [i]✔
17Linear OA(3138, 19725, F3, 21) (dual of [19725, 19587, 22]-code) [i]✔
18Linear OA(3139, 19732, F3, 21) (dual of [19732, 19593, 22]-code) [i]✔
19Linear OA(3174, 19731, F3, 27) (dual of [19731, 19557, 28]-code) [i]✔
20Linear OA(3138, 19731, F3, 21) (dual of [19731, 19593, 22]-code) [i]✔