Information on Result #678209

Linear OA(4258, 1048619, F4, 34) (dual of [1048619, 1048361, 35]-code), using construction X applied to Ce(33) ⊂ Ce(28) based on
  1. linear OA(4251, 1048576, F4, 34) (dual of [1048576, 1048325, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
  2. linear OA(4211, 1048576, F4, 29) (dual of [1048576, 1048365, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 410−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [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(4258, 524309, F4, 2, 34) (dual of [(524309, 2), 1048360, 35]-NRT-code) [i]OOA Folding
2Linear OOA(4258, 349539, F4, 3, 34) (dual of [(349539, 3), 1048359, 35]-NRT-code) [i]