Information on Result #678754

Linear OA(4206, 65589, F4, 33) (dual of [65589, 65383, 34]-code), using construction X applied to Ce(32) ⊂ Ce(25) based on
  1. linear OA(4193, 65536, F4, 33) (dual of [65536, 65343, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [i]
  2. linear OA(4153, 65536, F4, 26) (dual of [65536, 65383, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
  3. linear OA(413, 53, F4, 6) (dual of [53, 40, 7]-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(4207, 65590, F4, 33) (dual of [65590, 65383, 34]-code) [i]Code Embedding in Larger Space
2Linear OA(4208, 65591, F4, 33) (dual of [65591, 65383, 34]-code) [i]
3Linear OA(4205, 65588, F4, 32) (dual of [65588, 65383, 33]-code) [i]Truncation
4Linear OOA(4206, 39628, F4, 2, 33) (dual of [(39628, 2), 79050, 34]-NRT-code) [i]Embedding of OOA with Gilbert–VarÅ¡amov Bound
5Linear OOA(4206, 39628, F4, 3, 33) (dual of [(39628, 3), 118678, 34]-NRT-code) [i]
6Digital (173, 206, 39628)-net over F4 [i]
7Linear OOA(4206, 32794, F4, 2, 33) (dual of [(32794, 2), 65382, 34]-NRT-code) [i]OOA Folding
8Linear OOA(4206, 21863, F4, 3, 33) (dual of [(21863, 3), 65383, 34]-NRT-code) [i]
9Linear OOA(4206, 4099, F4, 33, 33) (dual of [(4099, 33), 135061, 34]-NRT-code) [i]OOA Folding and Stacking with Additional Row