Information on Result #612256

Linear OA(3121, 243, F3, 41) (dual of [243, 122, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41

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(3127, 249, F3, 43) (dual of [249, 122, 44]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
2Linear OA(3121, 248, F3, 41) (dual of [248, 127, 42]-code) [i]✔
3Linear OA(3134, 256, F3, 44) (dual of [256, 122, 45]-code) [i]✔
4Linear OA(3124, 256, F3, 41) (dual of [256, 132, 42]-code) [i]✔
5Linear OA(3144, 266, F3, 47) (dual of [266, 122, 48]-code) [i]✔
6Linear OA(3129, 266, F3, 41) (dual of [266, 137, 42]-code) [i]✔
7Linear OA(3135, 277, F3, 41) (dual of [277, 142, 42]-code) [i]✔
8Linear OA(3143, 261, F3, 47) (dual of [261, 118, 48]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
9Linear OA(3139, 257, F3, 45) (dual of [257, 118, 46]-code) [i]✔
10Linear OA(3145, 268, F3, 47) (dual of [268, 123, 48]-code) [i]✔
11Linear OA(3133, 251, F3, 44) (dual of [251, 118, 45]-code) [i]✔
12Linear OA(3128, 251, F3, 43) (dual of [251, 123, 44]-code) [i]✔
13Linear OA(3123, 251, F3, 41) (dual of [251, 128, 42]-code) [i]✔
14Linear OA(3128, 261, F3, 41) (dual of [261, 133, 42]-code) [i]✔
15Linear OA(3134, 276, F3, 41) (dual of [276, 142, 42]-code) [i]✔
16Linear OA(3133, 274, F3, 41) (dual of [274, 141, 42]-code) [i]✔
17Linear OA(3132, 272, F3, 41) (dual of [272, 140, 42]-code) [i]✔
18Linear OA(3131, 270, F3, 41) (dual of [270, 139, 42]-code) [i]✔
19Linear OA(3130, 268, F3, 41) (dual of [268, 138, 42]-code) [i]✔