Information on Result #672781

Linear OA(298, 8224, F2, 15) (dual of [8224, 8126, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
  1. linear OA(292, 8192, F2, 15) (dual of [8192, 8100, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(266, 8192, F2, 11) (dual of [8192, 8126, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 8191 = 213−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
  3. linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), 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(297, 8223, F2, 14) (dual of [8223, 8126, 15]-code) [i]Truncation
2Linear OOA(298, 4112, F2, 2, 15) (dual of [(4112, 2), 8126, 16]-NRT-code) [i]OOA Folding
3Linear OOA(298, 2741, F2, 3, 15) (dual of [(2741, 3), 8125, 16]-NRT-code) [i]
4Linear OOA(298, 2056, F2, 4, 15) (dual of [(2056, 4), 8126, 16]-NRT-code) [i]
5Linear OOA(298, 1644, F2, 5, 15) (dual of [(1644, 5), 8122, 16]-NRT-code) [i]
6Linear OOA(298, 1370, F2, 6, 15) (dual of [(1370, 6), 8122, 16]-NRT-code) [i]
7Linear OOA(298, 1174, F2, 7, 15) (dual of [(1174, 7), 8120, 16]-NRT-code) [i]
8Linear OOA(298, 1174, F2, 8, 15) (dual of [(1174, 8), 9294, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row
9Linear OOA(298, 1174, F2, 15, 15) (dual of [(1174, 15), 17512, 16]-NRT-code) [i]