Information on Result #672421

Linear OA(2133, 262176, F2, 15) (dual of [262176, 262043, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
  1. linear OA(2127, 262144, F2, 15) (dual of [262144, 262017, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(291, 262144, F2, 11) (dual of [262144, 262053, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 262143 = 218−1, 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(2132, 262175, F2, 14) (dual of [262175, 262043, 15]-code) [i]Truncation
2Linear OOA(2133, 131088, F2, 2, 15) (dual of [(131088, 2), 262043, 16]-NRT-code) [i]OOA Folding
3Linear OOA(2133, 87392, F2, 3, 15) (dual of [(87392, 3), 262043, 16]-NRT-code) [i]
4Linear OOA(2133, 65544, F2, 4, 15) (dual of [(65544, 4), 262043, 16]-NRT-code) [i]
5Linear OOA(2133, 52435, F2, 5, 15) (dual of [(52435, 5), 262042, 16]-NRT-code) [i]
6Linear OOA(2133, 43696, F2, 6, 15) (dual of [(43696, 6), 262043, 16]-NRT-code) [i]
7Linear OOA(2133, 37453, F2, 7, 15) (dual of [(37453, 7), 262038, 16]-NRT-code) [i]
8Linear OOA(2133, 37453, F2, 8, 15) (dual of [(37453, 8), 299491, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row
9Linear OOA(2133, 37453, F2, 15, 15) (dual of [(37453, 15), 561662, 16]-NRT-code) [i]