Information on Result #681502

Linear OA(499, 268, F4, 34) (dual of [268, 169, 35]-code), using construction X applied to Ce(33) ⊂ Ce(29) based on
  1. linear OA(495, 256, F4, 34) (dual of [256, 161, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(487, 256, F4, 30) (dual of [256, 169, 31]-code), using an extension Ce(29) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,29], and designed minimum distance d ≥ |I|+1 = 30 [i]
  3. linear OA(44, 12, F4, 3) (dual of [12, 8, 4]-code or 12-cap in PG(3,4)), 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(499, 134, F4, 2, 34) (dual of [(134, 2), 169, 35]-NRT-code) [i]OOA Folding
2Linear OOA(499, 89, F4, 3, 34) (dual of [(89, 3), 168, 35]-NRT-code) [i]