Information on Result #681566

Linear OA(475, 272, F4, 25) (dual of [272, 197, 26]-code), using construction X applied to Ce(24) ⊂ Ce(20) based on
  1. linear OA(471, 256, F4, 25) (dual of [256, 185, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
  2. linear OA(459, 256, F4, 21) (dual of [256, 197, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
  3. linear OA(44, 16, F4, 3) (dual of [16, 12, 4]-code or 16-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 OA(474, 271, F4, 24) (dual of [271, 197, 25]-code) [i]Truncation
2Linear OOA(475, 136, F4, 2, 25) (dual of [(136, 2), 197, 26]-NRT-code) [i]OOA Folding