Information on Result #672991

Linear OA(2166, 2085, F2, 29) (dual of [2085, 1919, 30]-code), using construction XX applied to Ce(28) ⊂ Ce(24) ⊂ Ce(22) based on
  1. linear OA(2155, 2048, F2, 29) (dual of [2048, 1893, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(2133, 2048, F2, 25) (dual of [2048, 1915, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  3. linear OA(2122, 2048, F2, 23) (dual of [2048, 1926, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 2047 = 211−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  4. linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
  5. linear OA(21, 5, F2, 1) (dual of [5, 4, 2]-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(2165, 2084, F2, 28) (dual of [2084, 1919, 29]-code) [i]Truncation
2Linear OOA(2166, 1042, F2, 2, 29) (dual of [(1042, 2), 1918, 30]-NRT-code) [i]OOA Folding
3Linear OOA(2166, 695, F2, 3, 29) (dual of [(695, 3), 1919, 30]-NRT-code) [i]
4Linear OOA(2166, 521, F2, 4, 29) (dual of [(521, 4), 1918, 30]-NRT-code) [i]
5Linear OOA(2166, 417, F2, 5, 29) (dual of [(417, 5), 1919, 30]-NRT-code) [i]
6Linear OOA(2166, 347, F2, 6, 29) (dual of [(347, 6), 1916, 30]-NRT-code) [i]