Information on Result #612072

Linear OA(3153, 6561, F3, 29) (dual of [6561, 6408, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29

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(3167, 6576, F3, 29) (dual of [6576, 6409, 30]-code) [i](u, u+v)-Construction
2Linear OA(3162, 6570, F3, 31) (dual of [6570, 6408, 32]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3153, 6569, F3, 29) (dual of [6569, 6416, 30]-code) [i]✔
4Linear OA(3172, 6574, F3, 32) (dual of [6574, 6402, 33]-code) [i]✔
5Linear OA(3173, 6581, F3, 32) (dual of [6581, 6408, 33]-code) [i]✔
6Linear OA(3156, 6574, F3, 29) (dual of [6574, 6418, 30]-code) [i]✔
7Linear OA(3157, 6581, F3, 29) (dual of [6581, 6424, 30]-code) [i]✔
8Linear OA(3184, 6588, F3, 34) (dual of [6588, 6404, 35]-code) [i]✔
9Linear OA(3185, 6593, F3, 34) (dual of [6593, 6408, 35]-code) [i]✔
10Linear OA(3183, 6591, F3, 33) (dual of [6591, 6408, 34]-code) [i]✔
11Linear OA(3159, 6591, F3, 29) (dual of [6591, 6432, 30]-code) [i]✔
12Linear OA(3195, 6597, F3, 35) (dual of [6597, 6402, 36]-code) [i]✔
13Linear OA(3196, 6602, F3, 35) (dual of [6602, 6406, 36]-code) [i]✔
14Linear OA(3197, 6605, F3, 35) (dual of [6605, 6408, 36]-code) [i]✔
15Linear OA(3163, 6597, F3, 29) (dual of [6597, 6434, 30]-code) [i]✔
16Linear OA(3164, 6602, F3, 29) (dual of [6602, 6438, 30]-code) [i]✔
17Linear OA(3165, 6605, F3, 29) (dual of [6605, 6440, 30]-code) [i]✔
18Linear OA(3210, 6618, F3, 37) (dual of [6618, 6408, 38]-code) [i]✔
19Linear OA(3169, 6617, F3, 29) (dual of [6617, 6448, 30]-code) [i]✔
20Linear OA(3222, 6630, F3, 38) (dual of [6630, 6408, 39]-code) [i]✔
21Linear OA(3195, 6600, F3, 35) (dual of [6600, 6405, 36]-code) [i]✔
22Linear OA(3196, 6604, F3, 35) (dual of [6604, 6408, 36]-code) [i]✔
23Linear OA(3163, 6600, F3, 29) (dual of [6600, 6437, 30]-code) [i]✔
24Linear OA(3164, 6604, F3, 29) (dual of [6604, 6440, 30]-code) [i]✔
25Linear OA(3209, 6617, F3, 37) (dual of [6617, 6408, 38]-code) [i]✔
26Linear OA(3207, 6614, F3, 36) (dual of [6614, 6407, 37]-code) [i]✔
27Linear OA(3167, 6614, F3, 29) (dual of [6614, 6447, 30]-code) [i]✔
28Linear OA(3168, 6616, F3, 29) (dual of [6616, 6448, 30]-code) [i]✔
29Linear OA(3232, 6640, F3, 39) (dual of [6640, 6408, 40]-code) [i]✔
30Linear OA(3194, 6596, F3, 35) (dual of [6596, 6402, 36]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
31Linear OA(3193, 6594, F3, 35) (dual of [6594, 6401, 36]-code) [i]✔
32Linear OA(3182, 6585, F3, 33) (dual of [6585, 6403, 34]-code) [i]✔
33Linear OA(3181, 6583, F3, 33) (dual of [6583, 6402, 34]-code) [i]✔
34Linear OA(3183, 6584, F3, 34) (dual of [6584, 6401, 35]-code) [i]✔
35Linear OA(3186, 6595, F3, 34) (dual of [6595, 6409, 35]-code) [i]✔
36Linear OA(3184, 6593, F3, 33) (dual of [6593, 6409, 34]-code) [i]✔
37Linear OA(3171, 6572, F3, 32) (dual of [6572, 6401, 33]-code) [i]✔
38Linear OA(3174, 6583, F3, 32) (dual of [6583, 6409, 33]-code) [i]✔
39Linear OA(3163, 6572, F3, 31) (dual of [6572, 6409, 32]-code) [i]✔
40Linear OA(3155, 6572, F3, 29) (dual of [6572, 6417, 30]-code) [i]✔
41Linear OA(3158, 6583, F3, 29) (dual of [6583, 6425, 30]-code) [i]✔
42Linear OA(3162, 6596, F3, 29) (dual of [6596, 6434, 30]-code) [i]✔
43Linear OA(3161, 6594, F3, 29) (dual of [6594, 6433, 30]-code) [i]✔