Information on Result #737324

Linear OA(4112, 4132, F4, 23) (dual of [4132, 4020, 24]-code), using construction X applied to Ce(22) ⊂ Ce(16) based on
  1. linear OA(4103, 4096, F4, 23) (dual of [4096, 3993, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
  2. linear OA(473, 4096, F4, 17) (dual of [4096, 4023, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  3. linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-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(4112, 2066, F4, 2, 23) (dual of [(2066, 2), 4020, 24]-NRT-code) [i]OOA Folding
2Linear OOA(4112, 1377, F4, 3, 23) (dual of [(1377, 3), 4019, 24]-NRT-code) [i]