Information on Result #612006

Linear OA(3137, 6561, F3, 26) (dual of [6561, 6424, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26

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(3150, 6575, F3, 26) (dual of [6575, 6425, 27]-code) [i](u, u+v)-Construction
2Linear OA(3146, 6570, F3, 28) (dual of [6570, 6424, 29]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(3137, 6569, F3, 26) (dual of [6569, 6432, 27]-code) [i]✔
4Linear OA(3156, 6574, F3, 29) (dual of [6574, 6418, 30]-code) [i]✔
5Linear OA(3157, 6581, F3, 29) (dual of [6581, 6424, 30]-code) [i]✔
6Linear OA(3140, 6574, F3, 26) (dual of [6574, 6434, 27]-code) [i]✔
7Linear OA(3141, 6581, F3, 26) (dual of [6581, 6440, 27]-code) [i]✔
8Linear OA(3168, 6588, F3, 31) (dual of [6588, 6420, 32]-code) [i]✔
9Linear OA(3169, 6593, F3, 31) (dual of [6593, 6424, 32]-code) [i]✔
10Linear OA(3167, 6591, F3, 30) (dual of [6591, 6424, 31]-code) [i]✔
11Linear OA(3143, 6591, F3, 26) (dual of [6591, 6448, 27]-code) [i]✔
12Linear OA(3179, 6597, F3, 32) (dual of [6597, 6418, 33]-code) [i]✔
13Linear OA(3180, 6602, F3, 32) (dual of [6602, 6422, 33]-code) [i]✔
14Linear OA(3181, 6605, F3, 32) (dual of [6605, 6424, 33]-code) [i]✔
15Linear OA(3147, 6597, F3, 26) (dual of [6597, 6450, 27]-code) [i]✔
16Linear OA(3148, 6602, F3, 26) (dual of [6602, 6454, 27]-code) [i]✔
17Linear OA(3149, 6605, F3, 26) (dual of [6605, 6456, 27]-code) [i]✔
18Linear OA(3194, 6618, F3, 34) (dual of [6618, 6424, 35]-code) [i]✔
19Linear OA(3206, 6630, F3, 35) (dual of [6630, 6424, 36]-code) [i]✔
20Linear OA(3179, 6600, F3, 32) (dual of [6600, 6421, 33]-code) [i]✔
21Linear OA(3180, 6604, F3, 32) (dual of [6604, 6424, 33]-code) [i]✔
22Linear OA(3147, 6600, F3, 26) (dual of [6600, 6453, 27]-code) [i]✔
23Linear OA(3148, 6604, F3, 26) (dual of [6604, 6456, 27]-code) [i]✔
24Linear OA(3193, 6617, F3, 34) (dual of [6617, 6424, 35]-code) [i]✔
25Linear OA(3191, 6614, F3, 33) (dual of [6614, 6423, 34]-code) [i]✔
26Linear OA(3151, 6614, F3, 26) (dual of [6614, 6463, 27]-code) [i]✔
27Linear OA(3152, 6616, F3, 26) (dual of [6616, 6464, 27]-code) [i]✔
28Linear OA(3178, 6596, F3, 32) (dual of [6596, 6418, 33]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
29Linear OA(3177, 6594, F3, 32) (dual of [6594, 6417, 33]-code) [i]✔
30Linear OA(3166, 6585, F3, 30) (dual of [6585, 6419, 31]-code) [i]✔
31Linear OA(3165, 6583, F3, 30) (dual of [6583, 6418, 31]-code) [i]✔
32Linear OA(3164, 6581, F3, 30) (dual of [6581, 6417, 31]-code) [i]✔
33Linear OA(3170, 6595, F3, 31) (dual of [6595, 6425, 32]-code) [i]✔
34Linear OA(3168, 6593, F3, 30) (dual of [6593, 6425, 31]-code) [i]✔
35Linear OA(3155, 6572, F3, 29) (dual of [6572, 6417, 30]-code) [i]✔
36Linear OA(3158, 6583, F3, 29) (dual of [6583, 6425, 30]-code) [i]✔
37Linear OA(3147, 6572, F3, 28) (dual of [6572, 6425, 29]-code) [i]✔
38Linear OA(3139, 6572, F3, 26) (dual of [6572, 6433, 27]-code) [i]✔
39Linear OA(3142, 6583, F3, 26) (dual of [6583, 6441, 27]-code) [i]✔
40Linear OA(3146, 6596, F3, 26) (dual of [6596, 6450, 27]-code) [i]✔
41Linear OA(3145, 6594, F3, 26) (dual of [6594, 6449, 27]-code) [i]✔