Information on Result #612169

Linear OA(3185, 6561, F3, 35) (dual of [6561, 6376, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35

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(3202, 6579, F3, 35) (dual of [6579, 6377, 36]-code) [i](u, u+v)-Construction
2Linear OA(3194, 6570, F3, 37) (dual of [6570, 6376, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3185, 6569, F3, 35) (dual of [6569, 6384, 36]-code) [i]✔
4Linear OA(3204, 6574, F3, 38) (dual of [6574, 6370, 39]-code) [i]✔
5Linear OA(3205, 6581, F3, 38) (dual of [6581, 6376, 39]-code) [i]✔
6Linear OA(3188, 6574, F3, 35) (dual of [6574, 6386, 36]-code) [i]✔
7Linear OA(3189, 6581, F3, 35) (dual of [6581, 6392, 36]-code) [i]✔
8Linear OA(3216, 6588, F3, 40) (dual of [6588, 6372, 41]-code) [i]✔
9Linear OA(3217, 6593, F3, 40) (dual of [6593, 6376, 41]-code) [i]✔
10Linear OA(3215, 6591, F3, 39) (dual of [6591, 6376, 40]-code) [i]✔
11Linear OA(3191, 6591, F3, 35) (dual of [6591, 6400, 36]-code) [i]✔
12Linear OA(3227, 6597, F3, 41) (dual of [6597, 6370, 42]-code) [i]✔
13Linear OA(3228, 6602, F3, 41) (dual of [6602, 6374, 42]-code) [i]✔
14Linear OA(3229, 6605, F3, 41) (dual of [6605, 6376, 42]-code) [i]✔
15Linear OA(3195, 6597, F3, 35) (dual of [6597, 6402, 36]-code) [i]✔
16Linear OA(3196, 6602, F3, 35) (dual of [6602, 6406, 36]-code) [i]✔
17Linear OA(3197, 6605, F3, 35) (dual of [6605, 6408, 36]-code) [i]✔
18Linear OA(3242, 6618, F3, 43) (dual of [6618, 6376, 44]-code) [i]✔
19Linear OA(3201, 6617, F3, 35) (dual of [6617, 6416, 36]-code) [i]✔
20Linear OA(3206, 6630, F3, 35) (dual of [6630, 6424, 36]-code) [i]✔
21Linear OA(3227, 6600, F3, 41) (dual of [6600, 6373, 42]-code) [i]✔
22Linear OA(3228, 6604, F3, 41) (dual of [6604, 6376, 42]-code) [i]✔
23Linear OA(3195, 6600, F3, 35) (dual of [6600, 6405, 36]-code) [i]✔
24Linear OA(3196, 6604, F3, 35) (dual of [6604, 6408, 36]-code) [i]✔
25Linear OA(3241, 6617, F3, 43) (dual of [6617, 6376, 44]-code) [i]✔
26Linear OA(3239, 6614, F3, 42) (dual of [6614, 6375, 43]-code) [i]✔
27Linear OA(3199, 6614, F3, 35) (dual of [6614, 6415, 36]-code) [i]✔
28Linear OA(3200, 6616, F3, 35) (dual of [6616, 6416, 36]-code) [i]✔
29Linear OA(3226, 6596, F3, 41) (dual of [6596, 6370, 42]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
30Linear OA(3225, 6594, F3, 41) (dual of [6594, 6369, 42]-code) [i]✔
31Linear OA(3214, 6585, F3, 39) (dual of [6585, 6371, 40]-code) [i]✔
32Linear OA(3213, 6583, F3, 39) (dual of [6583, 6370, 40]-code) [i]✔
33Linear OA(3215, 6584, F3, 40) (dual of [6584, 6369, 41]-code) [i]✔
34Linear OA(3218, 6595, F3, 40) (dual of [6595, 6377, 41]-code) [i]✔
35Linear OA(3216, 6593, F3, 39) (dual of [6593, 6377, 40]-code) [i]✔
36Linear OA(3203, 6572, F3, 38) (dual of [6572, 6369, 39]-code) [i]✔
37Linear OA(3206, 6583, F3, 38) (dual of [6583, 6377, 39]-code) [i]✔
38Linear OA(3195, 6572, F3, 37) (dual of [6572, 6377, 38]-code) [i]✔
39Linear OA(3187, 6572, F3, 35) (dual of [6572, 6385, 36]-code) [i]✔
40Linear OA(3190, 6583, F3, 35) (dual of [6583, 6393, 36]-code) [i]✔
41Linear OA(3194, 6596, F3, 35) (dual of [6596, 6402, 36]-code) [i]✔
42Linear OA(3193, 6594, F3, 35) (dual of [6594, 6401, 36]-code) [i]✔