Information on Result #696651

Linear OA(32107, 1048609, F32, 26) (dual of [1048609, 1048502, 27]-code), using construction X applied to Ce(25) ⊂ Ce(18) based on
  1. linear OA(32101, 1048576, F32, 26) (dual of [1048576, 1048475, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  2. linear OA(3273, 1048576, F32, 19) (dual of [1048576, 1048503, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  3. linear OA(326, 33, F32, 6) (dual of [33, 27, 7]-code or 33-arc in PG(5,32)), 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(32107, 1048609, F32, 2, 26) (dual of [(1048609, 2), 2097111, 27]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Digital (81, 107, 1048609)-net over F32 [i]
3Linear OOA(32107, 524304, F32, 2, 26) (dual of [(524304, 2), 1048501, 27]-NRT-code) [i]OOA Folding
4Linear OOA(32107, 80662, F32, 26, 26) (dual of [(80662, 26), 2097105, 27]-NRT-code) [i]OA Folding and Stacking