Information on Result #613453

Linear OA(4176, 256, F4, 86) (dual of [256, 80, 87]-code), using an extension Ce(85) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,85], and designed minimum distance d ≥ |I|+1 = 86

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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4180, 260, F4, 87) (dual of [260, 80, 88]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(4185, 265, F4, 88) (dual of [265, 80, 89]-code) [i]✔
3Linear OA(4188, 268, F4, 90) (dual of [268, 80, 91]-code) [i]✔
4Linear OA(4194, 274, F4, 91) (dual of [274, 80, 92]-code) [i]✔
5Linear OA(4203, 282, F4, 94) (dual of [282, 79, 95]-code) [i]✔
6Linear OA(4205, 285, F4, 94) (dual of [285, 80, 95]-code) [i]✔
7Linear OA(4202, 282, F4, 92) (dual of [282, 80, 93]-code) [i]✔
8Linear OA(4200, 278, F4, 92) (dual of [278, 78, 93]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
9Linear OA(4199, 276, F4, 92) (dual of [276, 77, 93]-code) [i]✔
10Linear OA(4206, 287, F4, 94) (dual of [287, 81, 95]-code) [i]✔
11Linear OA(4203, 284, F4, 92) (dual of [284, 81, 93]-code) [i]✔
12Linear OA(4193, 270, F4, 91) (dual of [270, 77, 92]-code) [i]✔
13Linear OA(4195, 276, F4, 91) (dual of [276, 81, 92]-code) [i]✔
14Linear OA(4186, 263, F4, 89) (dual of [263, 77, 90]-code) [i]✔
15Linear OA(4189, 270, F4, 90) (dual of [270, 81, 91]-code) [i]✔
16Linear OA(4186, 267, F4, 88) (dual of [267, 81, 89]-code) [i]✔
17Linear OOA(4176, 128, F4, 2, 86) (dual of [(128, 2), 80, 87]-NRT-code) [i]OOA Folding