Information on Result #675421

Linear OA(3161, 6561, F3, 31) (dual of [6561, 6400, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 6560 = 38−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31

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(3169, 6569, F3, 32) (dual of [6569, 6400, 33]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3162, 6570, F3, 31) (dual of [6570, 6408, 32]-code) [i]✔
3Linear OA(3180, 6574, F3, 34) (dual of [6574, 6394, 35]-code) [i]✔
4Linear OA(3181, 6581, F3, 34) (dual of [6581, 6400, 35]-code) [i]✔
5Linear OA(3162, 6578, F3, 30) (dual of [6578, 6416, 31]-code) [i]✔
6Linear OA(3164, 6574, F3, 31) (dual of [6574, 6410, 32]-code) [i]✔
7Linear OA(3165, 6581, F3, 31) (dual of [6581, 6416, 32]-code) [i]✔
8Linear OA(3191, 6591, F3, 35) (dual of [6591, 6400, 36]-code) [i]✔
9Linear OA(3168, 6588, F3, 31) (dual of [6588, 6420, 32]-code) [i]✔
10Linear OA(3169, 6593, F3, 31) (dual of [6593, 6424, 32]-code) [i]✔
11Linear OA(3167, 6591, F3, 30) (dual of [6591, 6424, 31]-code) [i]✔
12Linear OA(3217, 6617, F3, 38) (dual of [6617, 6400, 39]-code) [i]✔
13Linear OA(3178, 6618, F3, 31) (dual of [6618, 6440, 32]-code) [i]✔
14Linear OA(3230, 6630, F3, 40) (dual of [6630, 6400, 41]-code) [i]✔
15Linear OA(3178, 6626, F3, 30) (dual of [6626, 6448, 31]-code) [i]✔
16Linear OA(3241, 6641, F3, 41) (dual of [6641, 6400, 42]-code) [i]✔
17Linear OA(3215, 6614, F3, 38) (dual of [6614, 6399, 39]-code) [i]✔
18Linear OA(3216, 6616, F3, 38) (dual of [6616, 6400, 39]-code) [i]✔
19Linear OA(3177, 6617, F3, 31) (dual of [6617, 6440, 32]-code) [i]✔
20Linear OA(3175, 6614, F3, 30) (dual of [6614, 6439, 31]-code) [i]✔
21Linear OA(3177, 6625, F3, 30) (dual of [6625, 6448, 31]-code) [i]✔
22Linear OA(3240, 6640, F3, 41) (dual of [6640, 6400, 42]-code) [i]✔
23Linear OA(3202, 6595, F3, 37) (dual of [6595, 6393, 38]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
24Linear OA(3200, 6593, F3, 36) (dual of [6593, 6393, 37]-code) [i]✔
25Linear OA(3190, 6583, F3, 35) (dual of [6583, 6393, 36]-code) [i]✔
26Linear OA(3194, 6596, F3, 35) (dual of [6596, 6402, 36]-code) [i]✔
27Linear OA(3193, 6594, F3, 35) (dual of [6594, 6401, 36]-code) [i]✔
28Linear OA(3179, 6572, F3, 34) (dual of [6572, 6393, 35]-code) [i]✔
29Linear OA(3182, 6585, F3, 33) (dual of [6585, 6403, 34]-code) [i]✔
30Linear OA(3181, 6583, F3, 33) (dual of [6583, 6402, 34]-code) [i]✔
31Linear OA(3183, 6584, F3, 34) (dual of [6584, 6401, 35]-code) [i]✔
32Linear OA(3171, 6572, F3, 32) (dual of [6572, 6401, 33]-code) [i]✔
33Linear OA(3163, 6572, F3, 31) (dual of [6572, 6409, 32]-code) [i]✔
34Linear OA(3166, 6585, F3, 30) (dual of [6585, 6419, 31]-code) [i]✔
35Linear OA(3165, 6583, F3, 30) (dual of [6583, 6418, 31]-code) [i]✔
36Linear OA(3164, 6581, F3, 30) (dual of [6581, 6417, 31]-code) [i]✔
37Linear OA(3170, 6595, F3, 31) (dual of [6595, 6425, 32]-code) [i]✔
38Linear OA(3168, 6593, F3, 30) (dual of [6593, 6425, 31]-code) [i]✔
39Linear OOA(3161, 2187, F3, 3, 31) (dual of [(2187, 3), 6400, 32]-NRT-code) [i]OOA Folding
40Linear OOA(3161, 1640, F3, 4, 31) (dual of [(1640, 4), 6399, 32]-NRT-code) [i]
41Linear OOA(3161, 1312, F3, 5, 31) (dual of [(1312, 5), 6399, 32]-NRT-code) [i]