Information on Result #612099

Linear OA(3181, 19684, F3, 31) (dual of [19684, 19503, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 19684 | 318−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (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(3180, 19683, F3, 30) (dual of [19683, 19503, 31]-code) [i]Truncation
2Linear OA(3196, 19700, F3, 31) (dual of [19700, 19504, 32]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(3200, 19703, F3, 33) (dual of [19703, 19503, 34]-code) [i]✔
4Linear OA(3182, 19703, F3, 29) (dual of [19703, 19521, 30]-code) [i]✔
5Linear OA(3184, 19688, F3, 31) (dual of [19688, 19504, 32]-code) [i]✔
6Linear OA(3185, 19694, F3, 31) (dual of [19694, 19509, 32]-code) [i]✔
7Linear OA(3186, 19704, F3, 31) (dual of [19704, 19518, 32]-code) [i]✔
8Linear OA(3187, 19708, F3, 31) (dual of [19708, 19521, 32]-code) [i]✔
9Linear OA(3183, 19688, F3, 30) (dual of [19688, 19505, 31]-code) [i]✔
10Linear OA(3184, 19697, F3, 30) (dual of [19697, 19513, 31]-code) [i]✔
11Linear OA(3185, 19706, F3, 30) (dual of [19706, 19521, 31]-code) [i]✔
12Linear OA(3225, 19712, F3, 37) (dual of [19712, 19487, 38]-code) [i]✔
13Linear OA(3227, 19720, F3, 37) (dual of [19720, 19493, 38]-code) [i]✔
14Linear OA(3228, 19725, F3, 37) (dual of [19725, 19497, 38]-code) [i]✔
15Linear OA(3229, 19732, F3, 37) (dual of [19732, 19503, 38]-code) [i]✔
16Linear OA(3225, 19725, F3, 36) (dual of [19725, 19500, 37]-code) [i]✔
17Linear OA(3226, 19729, F3, 36) (dual of [19729, 19503, 37]-code) [i]✔
18Linear OA(3223, 19726, F3, 35) (dual of [19726, 19503, 36]-code) [i]✔
19Linear OA(3189, 19712, F3, 31) (dual of [19712, 19523, 32]-code) [i]✔
20Linear OA(3191, 19720, F3, 31) (dual of [19720, 19529, 32]-code) [i]✔
21Linear OA(3192, 19725, F3, 31) (dual of [19725, 19533, 32]-code) [i]✔
22Linear OA(3193, 19732, F3, 31) (dual of [19732, 19539, 32]-code) [i]✔
23Linear OA(3189, 19725, F3, 30) (dual of [19725, 19536, 31]-code) [i]✔
24Linear OA(3190, 19729, F3, 30) (dual of [19729, 19539, 31]-code) [i]✔
25Linear OA(3187, 19726, F3, 29) (dual of [19726, 19539, 30]-code) [i]✔
26Linear OA(3227, 19723, F3, 37) (dual of [19723, 19496, 38]-code) [i]✔
27Linear OA(3228, 19731, F3, 37) (dual of [19731, 19503, 38]-code) [i]✔
28Linear OA(3191, 19723, F3, 31) (dual of [19723, 19532, 32]-code) [i]✔
29Linear OA(3192, 19731, F3, 31) (dual of [19731, 19539, 32]-code) [i]✔
30Linear OA(3218, 19722, F3, 33) (dual of [19722, 19504, 34]-code) [i]✔Construction X4 with Cyclic Codes
31Linear OOA(3181, 9842, F3, 2, 31) (dual of [(9842, 2), 19503, 32]-NRT-code) [i]OOA Folding
32Linear OOA(3181, 4921, F3, 4, 31) (dual of [(4921, 4), 19503, 32]-NRT-code) [i]