Information on Result #702263

Linear OA(2100, 511, F2, 23) (dual of [511, 411, 24]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 511 = 29−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24

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

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(2130, 559, F2, 27) (dual of [559, 429, 28]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(2129, 551, F2, 27) (dual of [551, 422, 28]-code) [i]✔
3Linear OA(2111, 531, F2, 25) (dual of [531, 420, 26]-code) [i]✔
4Linear OA(2125, 545, F2, 27) (dual of [545, 420, 28]-code) [i]✔
5Linear OA(2124, 537, F2, 27) (dual of [537, 413, 28]-code) [i]✔
6Linear OA(2139, 557, F2, 28) (dual of [557, 418, 29]-code) [i]✔
7Linear OA(2139, 554, F2, 29) (dual of [554, 415, 30]-code) [i]✔
8Linear OA(2120, 531, F2, 27) (dual of [531, 411, 28]-code) [i]✔
9Linear OA(2134, 545, F2, 29) (dual of [545, 411, 30]-code) [i]✔
10Linear OA(2148, 557, F2, 30) (dual of [557, 409, 31]-code) [i]✔
11Linear OA(2148, 554, F2, 31) (dual of [554, 406, 32]-code) [i]✔
12Linear OA(2148, 559, F2, 31) (dual of [559, 411, 32]-code) [i]✔
13Linear OA(2147, 551, F2, 31) (dual of [551, 404, 32]-code) [i]✔
14Linear OOA(2100, 170, F2, 3, 23) (dual of [(170, 3), 410, 24]-NRT-code) [i]OOA Folding
15Linear OOA(2100, 102, F2, 5, 23) (dual of [(102, 5), 410, 24]-NRT-code) [i]
16Linear OOA(2100, 85, F2, 6, 23) (dual of [(85, 6), 410, 24]-NRT-code) [i]
17Linear OOA(2100, 73, F2, 7, 23) (dual of [(73, 7), 411, 24]-NRT-code) [i]