Information on Result #675416

Linear OA(3193, 6561, F3, 37) (dual of [6561, 6368, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37

Mode: Constructive and linear.

This result is hidden, because other results with identical parameters exist.

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(3201, 6569, F3, 38) (dual of [6569, 6368, 39]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3194, 6570, F3, 37) (dual of [6570, 6376, 38]-code) [i]✔
3Linear OA(3212, 6574, F3, 40) (dual of [6574, 6362, 41]-code) [i]✔
4Linear OA(3213, 6581, F3, 40) (dual of [6581, 6368, 41]-code) [i]✔
5Linear OA(3194, 6578, F3, 36) (dual of [6578, 6384, 37]-code) [i]✔
6Linear OA(3196, 6574, F3, 37) (dual of [6574, 6378, 38]-code) [i]✔
7Linear OA(3197, 6581, F3, 37) (dual of [6581, 6384, 38]-code) [i]✔
8Linear OA(3223, 6591, F3, 41) (dual of [6591, 6368, 42]-code) [i]✔
9Linear OA(3200, 6588, F3, 37) (dual of [6588, 6388, 38]-code) [i]✔
10Linear OA(3201, 6593, F3, 37) (dual of [6593, 6392, 38]-code) [i]✔
11Linear OA(3199, 6591, F3, 36) (dual of [6591, 6392, 37]-code) [i]✔
12Linear OA(3249, 6617, F3, 44) (dual of [6617, 6368, 45]-code) [i]✔
13Linear OA(3210, 6618, F3, 37) (dual of [6618, 6408, 38]-code) [i]✔
14Linear OA(3214, 6630, F3, 37) (dual of [6630, 6416, 38]-code) [i]✔
15Linear OA(3210, 6626, F3, 36) (dual of [6626, 6416, 37]-code) [i]✔
16Linear OA(3247, 6614, F3, 44) (dual of [6614, 6367, 45]-code) [i]✔
17Linear OA(3248, 6616, F3, 44) (dual of [6616, 6368, 45]-code) [i]✔
18Linear OA(3209, 6617, F3, 37) (dual of [6617, 6408, 38]-code) [i]✔
19Linear OA(3207, 6614, F3, 36) (dual of [6614, 6407, 37]-code) [i]✔
20Linear OA(3209, 6625, F3, 36) (dual of [6625, 6416, 37]-code) [i]✔
21Linear OA(3234, 6595, F3, 43) (dual of [6595, 6361, 44]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
22Linear OA(3232, 6593, F3, 42) (dual of [6593, 6361, 43]-code) [i]✔
23Linear OA(3222, 6583, F3, 41) (dual of [6583, 6361, 42]-code) [i]✔
24Linear OA(3226, 6596, F3, 41) (dual of [6596, 6370, 42]-code) [i]✔
25Linear OA(3225, 6594, F3, 41) (dual of [6594, 6369, 42]-code) [i]✔
26Linear OA(3211, 6572, F3, 40) (dual of [6572, 6361, 41]-code) [i]✔
27Linear OA(3214, 6585, F3, 39) (dual of [6585, 6371, 40]-code) [i]✔
28Linear OA(3213, 6583, F3, 39) (dual of [6583, 6370, 40]-code) [i]✔
29Linear OA(3215, 6584, F3, 40) (dual of [6584, 6369, 41]-code) [i]✔
30Linear OA(3203, 6572, F3, 38) (dual of [6572, 6369, 39]-code) [i]✔
31Linear OA(3195, 6572, F3, 37) (dual of [6572, 6377, 38]-code) [i]✔
32Linear OA(3198, 6585, F3, 36) (dual of [6585, 6387, 37]-code) [i]✔
33Linear OA(3197, 6583, F3, 36) (dual of [6583, 6386, 37]-code) [i]✔
34Linear OA(3196, 6581, F3, 36) (dual of [6581, 6385, 37]-code) [i]✔
35Linear OA(3202, 6595, F3, 37) (dual of [6595, 6393, 38]-code) [i]✔
36Linear OA(3200, 6593, F3, 36) (dual of [6593, 6393, 37]-code) [i]✔
37Linear OOA(3193, 2187, F3, 3, 37) (dual of [(2187, 3), 6368, 38]-NRT-code) [i]OOA Folding
38Linear OOA(3193, 1640, F3, 4, 37) (dual of [(1640, 4), 6367, 38]-NRT-code) [i]
39Linear OOA(3193, 1312, F3, 5, 37) (dual of [(1312, 5), 6367, 38]-NRT-code) [i]