Information on Result #681554

Linear OA(4109, 270, F4, 38) (dual of [270, 161, 39]-code), using construction X applied to Ce(37) ⊂ Ce(33) based on
  1. linear OA(4105, 256, F4, 38) (dual of [256, 151, 39]-code), using an extension Ce(37) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,37], and designed minimum distance d ≥ |I|+1 = 38 [i]
  2. 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]
  3. linear OA(44, 14, F4, 3) (dual of [14, 10, 4]-code or 14-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(4109, 135, F4, 2, 38) (dual of [(135, 2), 161, 39]-NRT-code) [i]OOA Folding
2Linear OOA(4109, 90, F4, 3, 38) (dual of [(90, 3), 161, 39]-NRT-code) [i]