Information on Result #801602

Linear OA(2208, 8240, F2, 31) (dual of [8240, 8032, 32]-code), using construction X applied to Ce(30) ⊂ Ce(24) based on
  1. linear OA(2196, 8192, F2, 31) (dual of [8192, 7996, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
  2. linear OA(2157, 8192, F2, 25) (dual of [8192, 8035, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(212, 48, F2, 5) (dual of [48, 36, 6]-code), using

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(2207, 8239, F2, 30) (dual of [8239, 8032, 31]-code) [i]Truncation
2Linear OOA(2208, 4120, F2, 2, 31) (dual of [(4120, 2), 8032, 32]-NRT-code) [i]OOA Folding
3Linear OOA(2208, 2746, F2, 3, 31) (dual of [(2746, 3), 8030, 32]-NRT-code) [i]
4Linear OOA(2208, 2060, F2, 4, 31) (dual of [(2060, 4), 8032, 32]-NRT-code) [i]
5Linear OOA(2208, 1648, F2, 5, 31) (dual of [(1648, 5), 8032, 32]-NRT-code) [i]
6Linear OOA(2208, 1373, F2, 6, 31) (dual of [(1373, 6), 8030, 32]-NRT-code) [i]
7Linear OOA(2208, 1177, F2, 7, 31) (dual of [(1177, 7), 8031, 32]-NRT-code) [i]
8Linear OOA(2208, 1030, F2, 8, 31) (dual of [(1030, 8), 8032, 32]-NRT-code) [i]