Information on Result #678607

Linear OA(4249, 65544, F4, 42) (dual of [65544, 65295, 43]-code), using construction X applied to Ce(41) ⊂ Ce(40) based on
  1. linear OA(4249, 65536, F4, 42) (dual of [65536, 65287, 43]-code), using an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
  2. linear OA(4241, 65536, F4, 41) (dual of [65536, 65295, 42]-code), using an extension Ce(40) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
  3. linear OA(40, 8, F4, 0) (dual of [8, 8, 1]-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(4250, 65545, F4, 42) (dual of [65545, 65295, 43]-code) [i]Code Embedding in Larger Space
2Linear OOA(4249, 32772, F4, 2, 42) (dual of [(32772, 2), 65295, 43]-NRT-code) [i]OOA Folding
3Linear OOA(4249, 21848, F4, 3, 42) (dual of [(21848, 3), 65295, 43]-NRT-code) [i]
4Linear OOA(4249, 3121, F4, 42, 42) (dual of [(3121, 42), 130833, 43]-NRT-code) [i]OA Folding and Stacking