Information on Result #619434

Linear OA(8171, 6561, F81, 36) (dual of [6561, 6490, 37]-code), using an extension Ce(35) of the primitive narrow-sense BCH-code C(I) with length 6560 = 812−1, defining interval I = [1,35], and designed minimum distance d ≥ |I|+1 = 36

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(9142, 13122, F9, 36) (dual of [13122, 12980, 37]-code) [i]Trace Code
2Linear OA(8173, 6563, F81, 37) (dual of [6563, 6490, 38]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(8171, 6563, F81, 36) (dual of [6563, 6492, 37]-code) [i]✔
4Linear OA(8176, 6566, F81, 38) (dual of [6566, 6490, 39]-code) [i]✔
5Linear OA(8172, 6566, F81, 36) (dual of [6566, 6494, 37]-code) [i]✔
6Linear OA(8179, 6569, F81, 39) (dual of [6569, 6490, 40]-code) [i]✔
7Linear OA(8173, 6569, F81, 36) (dual of [6569, 6496, 37]-code) [i]✔
8Linear OA(8182, 6572, F81, 40) (dual of [6572, 6490, 41]-code) [i]✔
9Linear OA(8174, 6572, F81, 36) (dual of [6572, 6498, 37]-code) [i]✔
10Linear OA(8175, 6575, F81, 36) (dual of [6575, 6500, 37]-code) [i]✔
11Linear OA(8176, 6578, F81, 36) (dual of [6578, 6502, 37]-code) [i]✔
12Linear OA(8177, 6581, F81, 36) (dual of [6581, 6504, 37]-code) [i]✔
13Linear OA(8178, 6584, F81, 36) (dual of [6584, 6506, 37]-code) [i]✔
14Linear OA(8179, 6587, F81, 36) (dual of [6587, 6508, 37]-code) [i]✔
15Linear OA(8180, 6590, F81, 36) (dual of [6590, 6510, 37]-code) [i]✔
16Linear OA(8181, 6593, F81, 36) (dual of [6593, 6512, 37]-code) [i]✔
17Linear OA(8182, 6596, F81, 36) (dual of [6596, 6514, 37]-code) [i]✔
18Linear OOA(8171, 2187, F81, 3, 36) (dual of [(2187, 3), 6490, 37]-NRT-code) [i]OOA Folding
19Linear OOA(8171, 1640, F81, 4, 36) (dual of [(1640, 4), 6489, 37]-NRT-code) [i]