Information on Result #706944

Linear OA(4117, 255, F4, 42) (dual of [255, 138, 43]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,41], and designed minimum distance d ≥ |I|+1 = 43

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(4146, 299, F4, 47) (dual of [299, 153, 48]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(4137, 287, F4, 46) (dual of [287, 150, 47]-code) [i]✔
3Linear OA(4121, 263, F4, 43) (dual of [263, 142, 44]-code) [i]✔
4Linear OA(4144, 294, F4, 47) (dual of [294, 150, 48]-code) [i]✔
5Linear OA(4143, 292, F4, 47) (dual of [292, 149, 48]-code) [i]✔
6Linear OA(4136, 282, F4, 46) (dual of [282, 146, 47]-code) [i]✔
7Linear OA(4126, 268, F4, 44) (dual of [268, 142, 45]-code) [i]✔
8Linear OA(4142, 287, F4, 47) (dual of [287, 145, 48]-code) [i]✔
9Linear OA(4133, 275, F4, 46) (dual of [275, 142, 47]-code) [i]✔
10Linear OA(4140, 282, F4, 47) (dual of [282, 142, 48]-code) [i]✔
11Linear OA(4139, 280, F4, 47) (dual of [280, 141, 48]-code) [i]✔
12Linear OA(4125, 263, F4, 44) (dual of [263, 138, 45]-code) [i]✔
13Linear OA(4137, 275, F4, 47) (dual of [275, 138, 48]-code) [i]✔
14Linear OA(4143, 280, F4, 48) (dual of [280, 137, 49]-code) [i]✔
15Linear OA(4144, 282, F4, 49) (dual of [282, 138, 50]-code) [i]✔