Information on Result #678447
Linear OA(4188, 262187, F4, 27) (dual of [262187, 261999, 28]-code), using construction X applied to Ce(26) ⊂ Ce(21) based on
- linear OA(4181, 262144, F4, 27) (dual of [262144, 261963, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- 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]
- linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-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:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4189, 262188, F4, 27) (dual of [262188, 261999, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4190, 262189, F4, 27) (dual of [262189, 261999, 28]-code) | [i] | ||
| 3 | Linear OOA(4188, 131093, F4, 2, 27) (dual of [(131093, 2), 261998, 28]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(4188, 87395, F4, 3, 27) (dual of [(87395, 3), 261997, 28]-NRT-code) | [i] | ||
| 5 | Linear OOA(4188, 20168, F4, 27, 27) (dual of [(20168, 27), 544348, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |