Information on Result #678477

Linear OA(4137, 262199, F4, 19) (dual of [262199, 262062, 20]-code), using construction X applied to Ce(18) ⊂ Ce(12) based on
  1. linear OA(4127, 262144, F4, 19) (dual of [262144, 262017, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
  2. linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
  3. linear OA(410, 55, F4, 5) (dual of [55, 45, 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(4138, 262200, F4, 19) (dual of [262200, 262062, 20]-code) [i]Code Embedding in Larger Space
2Linear OA(4139, 262201, F4, 19) (dual of [262201, 262062, 20]-code) [i]
3Linear OA(4140, 262202, F4, 19) (dual of [262202, 262062, 20]-code) [i]
4Linear OA(4139, 262202, F4, 19) (dual of [262202, 262063, 20]-code) [i]Construction X with VarÅ¡amov Bound
5Linear OA(4140, 262204, F4, 19) (dual of [262204, 262064, 20]-code) [i]
6Linear OOA(4137, 131099, F4, 2, 19) (dual of [(131099, 2), 262061, 20]-NRT-code) [i]OOA Folding
7Linear OOA(4137, 87399, F4, 3, 19) (dual of [(87399, 3), 262060, 20]-NRT-code) [i]
8Linear OOA(4137, 29133, F4, 19, 19) (dual of [(29133, 19), 553390, 20]-NRT-code) [i]OOA Folding and Stacking with Additional Row