Information on Result #672625

Linear OA(2224, 32826, F2, 29) (dual of [32826, 32602, 30]-code), using construction X applied to Ce(28) ⊂ Ce(22) based on
  1. linear OA(2211, 32768, F2, 29) (dual of [32768, 32557, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(2166, 32768, F2, 23) (dual of [32768, 32602, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  3. linear OA(213, 58, F2, 5) (dual of [58, 45, 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(2223, 32825, F2, 28) (dual of [32825, 32602, 29]-code) [i]Truncation
2Linear OOA(2224, 16413, F2, 2, 29) (dual of [(16413, 2), 32602, 30]-NRT-code) [i]OOA Folding
3Linear OOA(2224, 10942, F2, 3, 29) (dual of [(10942, 3), 32602, 30]-NRT-code) [i]
4Linear OOA(2224, 8206, F2, 4, 29) (dual of [(8206, 4), 32600, 30]-NRT-code) [i]
5Linear OOA(2224, 6565, F2, 5, 29) (dual of [(6565, 5), 32601, 30]-NRT-code) [i]
6Linear OOA(2224, 5471, F2, 6, 29) (dual of [(5471, 6), 32602, 30]-NRT-code) [i]
7Linear OOA(2224, 4689, F2, 7, 29) (dual of [(4689, 7), 32599, 30]-NRT-code) [i]
8Linear OOA(2224, 4103, F2, 8, 29) (dual of [(4103, 8), 32600, 30]-NRT-code) [i]
9Linear OOA(2224, 2344, F2, 29, 29) (dual of [(2344, 29), 67752, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row