Information on Result #678398

Linear OA(4110, 262164, F4, 16) (dual of [262164, 262054, 17]-code), using construction X4 applied to Ce(16) ⊂ Ce(13) based on
  1. linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
  2. linear OA(491, 262144, F4, 14) (dual of [262144, 262053, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
  3. linear OA(419, 20, F4, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,4)), using
  4. linear OA(41, 20, F4, 1) (dual of [20, 19, 2]-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(4111, 262165, F4, 16) (dual of [262165, 262054, 17]-code) [i]Code Embedding in Larger Space
2Linear OOA(4110, 131082, F4, 2, 16) (dual of [(131082, 2), 262054, 17]-NRT-code) [i]OOA Folding
3Linear OOA(4110, 87388, F4, 3, 16) (dual of [(87388, 3), 262054, 17]-NRT-code) [i]