Information on Result #612204

Linear OA(3193, 6562, F3, 37) (dual of [6562, 6369, 38]-code), using the expurgated narrow-sense BCH-code C(I) with length 6562 | 316−1, defining interval I = [0,18], and minimum distance d ≥ |{−18,−17,…,18}|+1 = 38 (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(3192, 6561, F3, 36) (dual of [6561, 6369, 37]-code) [i]Truncation
2Linear OA(3211, 6581, F3, 37) (dual of [6581, 6370, 38]-code) [i]✔Construction X with Cyclic Codes
3Linear OA(3210, 6579, F3, 39) (dual of [6579, 6369, 40]-code) [i]✔
4Linear OA(3194, 6579, F3, 35) (dual of [6579, 6385, 36]-code) [i]✔
5Linear OA(3196, 6566, F3, 37) (dual of [6566, 6370, 38]-code) [i]✔
6Linear OA(3197, 6572, F3, 37) (dual of [6572, 6375, 38]-code) [i]✔
7Linear OA(3198, 6582, F3, 37) (dual of [6582, 6384, 38]-code) [i]✔
8Linear OA(3199, 6584, F3, 37) (dual of [6584, 6385, 38]-code) [i]✔
9Linear OA(3195, 6566, F3, 36) (dual of [6566, 6371, 37]-code) [i]✔
10Linear OA(3196, 6575, F3, 36) (dual of [6575, 6379, 37]-code) [i]✔
11Linear OA(3197, 6582, F3, 36) (dual of [6582, 6385, 37]-code) [i]✔
12Linear OA(3233, 6590, F3, 43) (dual of [6590, 6357, 44]-code) [i]✔
13Linear OA(3235, 6598, F3, 43) (dual of [6598, 6363, 44]-code) [i]✔
14Linear OA(3236, 6603, F3, 43) (dual of [6603, 6367, 44]-code) [i]✔
15Linear OA(3237, 6606, F3, 43) (dual of [6606, 6369, 44]-code) [i]✔
16Linear OA(3233, 6602, F3, 42) (dual of [6602, 6369, 43]-code) [i]✔
17Linear OA(3231, 6600, F3, 41) (dual of [6600, 6369, 42]-code) [i]✔
18Linear OA(3229, 6598, F3, 40) (dual of [6598, 6369, 41]-code) [i]✔
19Linear OA(3201, 6590, F3, 37) (dual of [6590, 6389, 38]-code) [i]✔
20Linear OA(3203, 6598, F3, 37) (dual of [6598, 6395, 38]-code) [i]✔
21Linear OA(3204, 6603, F3, 37) (dual of [6603, 6399, 38]-code) [i]✔
22Linear OA(3205, 6606, F3, 37) (dual of [6606, 6401, 38]-code) [i]✔
23Linear OA(3201, 6602, F3, 36) (dual of [6602, 6401, 37]-code) [i]✔
24Linear OA(3199, 6600, F3, 35) (dual of [6600, 6401, 36]-code) [i]✔
25Linear OA(3197, 6598, F3, 34) (dual of [6598, 6401, 35]-code) [i]✔
26Linear OA(3214, 6631, F3, 36) (dual of [6631, 6417, 37]-code) [i]✔
27Linear OA(3235, 6601, F3, 43) (dual of [6601, 6366, 44]-code) [i]✔
28Linear OA(3236, 6605, F3, 43) (dual of [6605, 6369, 44]-code) [i]✔
29Linear OA(3203, 6601, F3, 37) (dual of [6601, 6398, 38]-code) [i]✔
30Linear OA(3204, 6605, F3, 37) (dual of [6605, 6401, 38]-code) [i]✔
31Linear OA(3194, 6596, F3, 33) (dual of [6596, 6402, 34]-code) [i]✔Construction X4 with Cyclic Codes
32Linear OOA(3193, 3281, F3, 2, 37) (dual of [(3281, 2), 6369, 38]-NRT-code) [i]OOA Folding