Information on Result #702135

Linear OA(299, 511, F2, 22) (dual of [511, 412, 23]-code), using the primitive narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23

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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2138, 550, F2, 28) (dual of [550, 412, 29]-code) [i]✔Construction X with Cyclic Codes
2Linear OA(2114, 535, F2, 25) (dual of [535, 421, 26]-code) [i]✔Construction XX with Cyclic Codes
3Linear OA(2111, 532, F2, 24) (dual of [532, 421, 25]-code) [i]✔
4Linear OA(2129, 550, F2, 27) (dual of [550, 421, 28]-code) [i]✔
5Linear OA(2125, 546, F2, 26) (dual of [546, 421, 27]-code) [i]✔
6Linear OA(2139, 554, F2, 28) (dual of [554, 415, 29]-code) [i]✔
7Linear OA(2123, 535, F2, 27) (dual of [535, 412, 28]-code) [i]✔
8Linear OA(2120, 532, F2, 26) (dual of [532, 412, 27]-code) [i]✔
9Linear OA(2138, 550, F2, 29) (dual of [550, 412, 30]-code) [i]✔
10Linear OA(2134, 546, F2, 28) (dual of [546, 412, 29]-code) [i]✔
11Linear OA(2149, 557, F2, 30) (dual of [557, 408, 31]-code) [i]✔
12Linear OA(2148, 554, F2, 30) (dual of [554, 406, 31]-code) [i]✔
13Linear OA(2148, 560, F2, 30) (dual of [560, 412, 31]-code) [i]✔
14Linear OOA(299, 255, F2, 2, 22) (dual of [(255, 2), 411, 23]-NRT-code) [i]OOA Folding
15Linear OOA(299, 170, F2, 3, 22) (dual of [(170, 3), 411, 23]-NRT-code) [i]
16Linear OOA(299, 127, F2, 4, 22) (dual of [(127, 4), 409, 23]-NRT-code) [i]
17Linear OOA(299, 102, F2, 5, 22) (dual of [(102, 5), 411, 23]-NRT-code) [i]
18Linear OOA(299, 85, F2, 6, 22) (dual of [(85, 6), 411, 23]-NRT-code) [i]
19Linear OOA(299, 73, F2, 7, 22) (dual of [(73, 7), 412, 23]-NRT-code) [i]