Information on Result #702730

Linear OA(250, 1023, F2, 10) (dual of [1023, 973, 11]-code), using the primitive narrow-sense BCH-code C(I) with length 1023 = 210−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11

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(266, 1049, F2, 13) (dual of [1049, 983, 14]-code) [i]✔Construction XX with Cyclic Codes
2Linear OA(263, 1046, F2, 12) (dual of [1046, 983, 13]-code) [i]✔
3Linear OA(276, 1049, F2, 15) (dual of [1049, 973, 16]-code) [i]✔
4Linear OA(273, 1046, F2, 14) (dual of [1046, 973, 15]-code) [i]✔
5Linear OOA(250, 511, F2, 2, 10) (dual of [(511, 2), 972, 11]-NRT-code) [i]OOA Folding
6Linear OOA(250, 341, F2, 3, 10) (dual of [(341, 3), 973, 11]-NRT-code) [i]
7Linear OOA(250, 255, F2, 4, 10) (dual of [(255, 4), 970, 11]-NRT-code) [i]
8Linear OOA(250, 204, F2, 5, 10) (dual of [(204, 5), 970, 11]-NRT-code) [i]
9Linear OOA(250, 204, F2, 6, 10) (dual of [(204, 6), 1174, 11]-NRT-code) [i]OA Folding and Stacking
10Linear OOA(250, 204, F2, 7, 10) (dual of [(204, 7), 1378, 11]-NRT-code) [i]
11Linear OOA(250, 204, F2, 8, 10) (dual of [(204, 8), 1582, 11]-NRT-code) [i]
12Linear OOA(250, 204, F2, 10, 10) (dual of [(204, 10), 1990, 11]-NRT-code) [i]