Information on Result #2244434
Linear OA(4192, 262164, F4, 28) (dual of [262164, 261972, 29]-code), using 1 times truncation based on linear OA(4193, 262165, F4, 29) (dual of [262165, 261972, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(25) [i] based on
- 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]
- linear OA(4172, 262144, F4, 26) (dual of [262144, 261972, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(43, 21, F4, 2) (dual of [21, 18, 3]-code), using
- Hamming code H(3,4) [i]
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 OOA(4192, 131082, F4, 2, 28) (dual of [(131082, 2), 261972, 29]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4192, 87388, F4, 3, 28) (dual of [(87388, 3), 261972, 29]-NRT-code) | [i] | ||
| 3 | Linear OOA(4192, 18726, F4, 28, 28) (dual of [(18726, 28), 524136, 29]-NRT-code) | [i] | OA Folding and Stacking | |