Information on Result #678467

Linear OA(4203, 262202, F4, 29) (dual of [262202, 261999, 30]-code), using construction X applied to Ce(28) ⊂ Ce(21) based on
  1. linear OA(4190, 262144, F4, 29) (dual of [262144, 261954, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
  2. linear OA(4145, 262144, F4, 22) (dual of [262144, 261999, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
  3. linear OA(413, 58, F4, 6) (dual of [58, 45, 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(4204, 262203, F4, 29) (dual of [262203, 261999, 30]-code) [i]Code Embedding in Larger Space
2Linear OA(4205, 262204, F4, 29) (dual of [262204, 261999, 30]-code) [i]
3Linear OA(4202, 262201, F4, 28) (dual of [262201, 261999, 29]-code) [i]Truncation
4Linear OOA(4203, 131101, F4, 2, 29) (dual of [(131101, 2), 261999, 30]-NRT-code) [i]OOA Folding
5Linear OOA(4203, 87400, F4, 3, 29) (dual of [(87400, 3), 261997, 30]-NRT-code) [i]
6Linear OOA(4203, 18728, F4, 29, 29) (dual of [(18728, 29), 542909, 30]-NRT-code) [i]OOA Folding and Stacking with Additional Row