Information on Result #672251

Linear OA(2154, 2097184, F2, 15) (dual of [2097184, 2097030, 16]-code), using construction X applied to Ce(14) ⊂ Ce(10) based on
  1. linear OA(2148, 2097152, F2, 15) (dual of [2097152, 2097004, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  2. linear OA(2106, 2097152, F2, 11) (dual of [2097152, 2097046, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 221−1, 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(2153, 2097183, F2, 14) (dual of [2097183, 2097030, 15]-code) [i]Truncation
2Linear OOA(2154, 1048592, F2, 2, 15) (dual of [(1048592, 2), 2097030, 16]-NRT-code) [i]OOA Folding
3Linear OOA(2154, 699061, F2, 3, 15) (dual of [(699061, 3), 2097029, 16]-NRT-code) [i]
4Linear OOA(2154, 524296, F2, 4, 15) (dual of [(524296, 4), 2097030, 16]-NRT-code) [i]
5Linear OOA(2154, 349530, F2, 6, 15) (dual of [(349530, 6), 2097026, 16]-NRT-code) [i]
6Linear OOA(2154, 299597, F2, 8, 15) (dual of [(299597, 8), 2396622, 16]-NRT-code) [i]OOA Folding and Stacking with Additional Row
7Linear OOA(2154, 299597, F2, 15, 15) (dual of [(299597, 15), 4493801, 16]-NRT-code) [i]