Information on Result #611513

Linear OA(2211, 256, F2, 87) (dual of [256, 45, 88]-code), using an extension Ce(86) of the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,86], and designed minimum distance d ≥ |I|+1 = 87

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(2124, 168, F2, 43) (dual of [168, 44, 44]-code) [i]Residual Code
2Linear OA(2220, 265, F2, 89) (dual of [265, 45, 90]-code) [i]✔Construction X with Extended Narrow-Sense BCH Codes
3Linear OA(2222, 260, F2, 91) (dual of [260, 38, 92]-code) [i]✔
4Linear OA(2223, 264, F2, 91) (dual of [264, 41, 92]-code) [i]✔
5Linear OA(2224, 269, F2, 91) (dual of [269, 45, 92]-code) [i]✔
6Linear OA(2212, 259, F2, 87) (dual of [259, 47, 88]-code) [i]✔
7Linear OA(2239, 280, F2, 95) (dual of [280, 41, 96]-code) [i]✔
8Linear OA(2242, 284, F2, 95) (dual of [284, 42, 96]-code) [i]✔
9Linear OA(2243, 288, F2, 95) (dual of [288, 45, 96]-code) [i]✔
10Linear OA(2236, 274, F2, 93) (dual of [274, 38, 94]-code) [i]✔
11Linear OA(2238, 283, F2, 93) (dual of [283, 45, 94]-code) [i]✔
12Linear OA(2259, 304, F2, 99) (dual of [304, 45, 100]-code) [i]✔
13Linear OA(2256, 298, F2, 97) (dual of [298, 42, 98]-code) [i]✔
14Linear OA(2254, 295, F2, 97) (dual of [295, 41, 98]-code) [i]✔Construction XX with a Chain of Extended Narrow-Sense BCH Codes
15Linear OA(2253, 293, F2, 97) (dual of [293, 40, 98]-code) [i]✔
16Linear OA(2252, 291, F2, 97) (dual of [291, 39, 98]-code) [i]✔
17Linear OA(2260, 298, F2, 101) (dual of [298, 38, 102]-code) [i]✔
18Linear OA(2250, 288, F2, 97) (dual of [288, 38, 98]-code) [i]✔
19Linear OA(2236, 277, F2, 93) (dual of [277, 41, 94]-code) [i]✔
20Linear OA(2235, 275, F2, 93) (dual of [275, 40, 94]-code) [i]✔
21Linear OA(2238, 277, F2, 95) (dual of [277, 39, 96]-code) [i]✔
22Linear OA(2234, 273, F2, 93) (dual of [273, 39, 94]-code) [i]✔
23Linear OA(2236, 274, F2, 95) (dual of [274, 38, 96]-code) [i]✔
24Linear OA(2232, 270, F2, 93) (dual of [270, 38, 94]-code) [i]✔
25Linear OA(2247, 294, F2, 95) (dual of [294, 47, 96]-code) [i]✔
26Linear OA(2241, 288, F2, 93) (dual of [288, 47, 94]-code) [i]✔
27Linear OA(2246, 292, F2, 95) (dual of [292, 46, 96]-code) [i]✔
28Linear OA(2240, 286, F2, 93) (dual of [286, 46, 94]-code) [i]✔
29Linear OA(2227, 274, F2, 91) (dual of [274, 47, 92]-code) [i]✔
30Linear OA(2223, 270, F2, 89) (dual of [270, 47, 90]-code) [i]✔
31Linear OA(2226, 272, F2, 91) (dual of [272, 46, 92]-code) [i]✔
32Linear OA(2222, 268, F2, 89) (dual of [268, 46, 90]-code) [i]✔
33Linear OA(2234, 282, F2, 87) (dual of [282, 48, 88]-code) [i]✔
34Linear OOA(2211, 128, F2, 2, 87) (dual of [(128, 2), 45, 88]-NRT-code) [i]OOA Folding
35Linear OOA(2211, 64, F2, 4, 87) (dual of [(64, 4), 45, 88]-NRT-code) [i]