Information on Result #701628

Linear OA(292, 255, F2, 24) (dual of [255, 163, 25]-code), using the primitive narrow-sense BCH-code C(I) with length 255 = 28−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25

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(2104, 291, F2, 24) (dual of [291, 187, 25]-code) [i]Construction X with Cyclic Codes
2Linear OA(2128, 291, F2, 30) (dual of [291, 163, 31]-code) [i]
3Linear OA(2121, 300, F2, 28) (dual of [300, 179, 29]-code) [i]Construction XX with Cyclic Codes
4Linear OA(2106, 277, F2, 27) (dual of [277, 171, 28]-code) [i]
5Linear OA(2103, 274, F2, 26) (dual of [274, 171, 27]-code) [i]
6Linear OA(2120, 291, F2, 29) (dual of [291, 171, 30]-code) [i]
7Linear OA(2116, 287, F2, 28) (dual of [287, 171, 29]-code) [i]
8Linear OA(2115, 280, F2, 28) (dual of [280, 165, 29]-code) [i]
9Linear OA(2130, 300, F2, 30) (dual of [300, 170, 31]-code) [i]
10Linear OA(2129, 297, F2, 30) (dual of [297, 168, 31]-code) [i]
11Linear OA(2114, 277, F2, 29) (dual of [277, 163, 30]-code) [i]
12Linear OA(2111, 274, F2, 28) (dual of [274, 163, 29]-code) [i]
13Linear OA(2128, 291, F2, 31) (dual of [291, 163, 32]-code) [i]
14Linear OA(2124, 287, F2, 30) (dual of [287, 163, 31]-code) [i]
15Linear OA(2123, 280, F2, 30) (dual of [280, 157, 31]-code) [i]
16Linear OA(2137, 297, F2, 32) (dual of [297, 160, 33]-code) [i]
17Linear OA(2137, 300, F2, 32) (dual of [300, 163, 33]-code) [i]
18Linear OOA(292, 127, F2, 2, 24) (dual of [(127, 2), 162, 25]-NRT-code) [i]OOA Folding
19Linear OOA(292, 85, F2, 3, 24) (dual of [(85, 3), 163, 25]-NRT-code) [i]
20Linear OOA(292, 63, F2, 4, 24) (dual of [(63, 4), 160, 25]-NRT-code) [i]
21Linear OOA(292, 51, F2, 5, 24) (dual of [(51, 5), 163, 25]-NRT-code) [i]