Information on Result #672597

Linear OA(2122, 32784, F2, 17) (dual of [32784, 32662, 18]-code), using construction X applied to Ce(16) ⊂ Ce(14) based on
  1. linear OA(2121, 32768, F2, 17) (dual of [32768, 32647, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(2106, 32768, F2, 15) (dual of [32768, 32662, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(21, 16, F2, 1) (dual of [16, 15, 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(2121, 32783, F2, 16) (dual of [32783, 32662, 17]-code) [i]Truncation
2Linear OOA(2122, 16392, F2, 2, 17) (dual of [(16392, 2), 32662, 18]-NRT-code) [i]OOA Folding
3Linear OOA(2122, 10928, F2, 3, 17) (dual of [(10928, 3), 32662, 18]-NRT-code) [i]
4Linear OOA(2122, 8196, F2, 4, 17) (dual of [(8196, 4), 32662, 18]-NRT-code) [i]
5Linear OOA(2122, 6556, F2, 5, 17) (dual of [(6556, 5), 32658, 18]-NRT-code) [i]
6Linear OOA(2122, 5464, F2, 6, 17) (dual of [(5464, 6), 32662, 18]-NRT-code) [i]
7Linear OOA(2122, 4683, F2, 7, 17) (dual of [(4683, 7), 32659, 18]-NRT-code) [i]
8Linear OOA(2122, 4098, F2, 8, 17) (dual of [(4098, 8), 32662, 18]-NRT-code) [i]
9Linear OOA(2122, 4097, F2, 17, 17) (dual of [(4097, 17), 69527, 18]-NRT-code) [i]OOA Folding and Stacking with Additional Row