Information on Result #678768

Linear OA(4123, 65586, F4, 19) (dual of [65586, 65463, 20]-code), using construction X applied to Ce(18) ⊂ Ce(12) based on
  1. linear OA(4113, 65536, F4, 19) (dual of [65536, 65423, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(473, 65536, F4, 13) (dual of [65536, 65463, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(410, 50, F4, 5) (dual of [50, 40, 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(4124, 65587, F4, 19) (dual of [65587, 65463, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(4125, 65588, F4, 19) (dual of [65588, 65463, 20]-code) [i]
3Linear OA(4126, 65589, F4, 19) (dual of [65589, 65463, 20]-code) [i]
4Linear OA(4125, 65589, F4, 19) (dual of [65589, 65464, 20]-code) [i]Construction X with VarÅ¡amov Bound
5Linear OA(4126, 65591, F4, 19) (dual of [65591, 65465, 20]-code) [i]
6Linear OOA(4123, 32793, F4, 2, 19) (dual of [(32793, 2), 65463, 20]-NRT-code) [i]OOA Folding
7Linear OOA(4123, 21862, F4, 3, 19) (dual of [(21862, 3), 65463, 20]-NRT-code) [i]
8Linear OOA(4123, 7287, F4, 19, 19) (dual of [(7287, 19), 138330, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row