Information on Result #678457

Linear OA(489, 262187, F4, 12) (dual of [262187, 262098, 13]-code), using construction X applied to Ce(12) ⊂ Ce(6) based on
  1. linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  2. linear OA(446, 262144, F4, 7) (dual of [262144, 262098, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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(489, 262187, F4, 2, 12) (dual of [(262187, 2), 524285, 13]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
2Linear OOA(489, 262187, F4, 3, 12) (dual of [(262187, 3), 786472, 13]-NRT-code) [i]
3Digital (77, 89, 262187)-net over F4 [i]
4Linear OOA(489, 131093, F4, 2, 12) (dual of [(131093, 2), 262097, 13]-NRT-code) [i]OOA Folding
5Linear OOA(489, 87395, F4, 3, 12) (dual of [(87395, 3), 262096, 13]-NRT-code) [i]
6Linear OOA(489, 43697, F4, 12, 12) (dual of [(43697, 12), 524275, 13]-NRT-code) [i]OA Folding and Stacking