Information on Result #681483

Linear OA(4145, 268, F4, 53) (dual of [268, 123, 54]-code), using construction X applied to Ce(52) ⊂ Ce(46) based on
  1. linear OA(4139, 256, F4, 53) (dual of [256, 117, 54]-code), using an extension Ce(52) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,52], and designed minimum distance d ≥ |I|+1 = 53 [i]
  2. linear OA(4133, 256, F4, 47) (dual of [256, 123, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [i]
  3. linear OA(46, 12, F4, 5) (dual of [12, 6, 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 OA(4146, 269, F4, 53) (dual of [269, 123, 54]-code) [i]Code Embedding in Larger Space
2Linear OOA(4145, 134, F4, 2, 53) (dual of [(134, 2), 123, 54]-NRT-code) [i]OOA Folding
3Linear OOA(4145, 89, F4, 3, 53) (dual of [(89, 3), 122, 54]-NRT-code) [i]