Information on Result #696686

Linear OA(32102, 1048620, F32, 24) (dual of [1048620, 1048518, 25]-code), using construction X applied to Ce(23) ⊂ Ce(14) based on
  1. linear OA(3293, 1048576, F32, 24) (dual of [1048576, 1048483, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
  2. linear OA(3257, 1048576, F32, 15) (dual of [1048576, 1048519, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
  3. linear OA(329, 44, F32, 8) (dual of [44, 35, 9]-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 OOA(32102, 524310, F32, 2, 24) (dual of [(524310, 2), 1048518, 25]-NRT-code) [i]OOA Folding
2Linear OOA(32102, 87385, F32, 24, 24) (dual of [(87385, 24), 2097138, 25]-NRT-code) [i]OA Folding and Stacking