Information on Result #678442
Linear OA(4233, 262187, F4, 34) (dual of [262187, 261954, 35]-code), using construction X applied to Ce(33) ⊂ Ce(28) based on
- linear OA(4226, 262144, F4, 34) (dual of [262144, 261918, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- 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(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(4234, 262188, F4, 34) (dual of [262188, 261954, 35]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4235, 262189, F4, 34) (dual of [262189, 261954, 35]-code) | [i] | ||
| 3 | Linear OA(4236, 262190, F4, 34) (dual of [262190, 261954, 35]-code) | [i] | ||
| 4 | Linear OA(4237, 262191, F4, 34) (dual of [262191, 261954, 35]-code) | [i] | ||
| 5 | Linear OA(4238, 262192, F4, 34) (dual of [262192, 261954, 35]-code) | [i] | ||
| 6 | Linear OA(4237, 262192, F4, 34) (dual of [262192, 261955, 35]-code) | [i] | Construction X with Varšamov Bound | |
| 7 | Linear OA(4238, 262194, F4, 34) (dual of [262194, 261956, 35]-code) | [i] | ||
| 8 | Linear OOA(4233, 131093, F4, 2, 34) (dual of [(131093, 2), 261953, 35]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(4233, 87395, F4, 3, 34) (dual of [(87395, 3), 261952, 35]-NRT-code) | [i] | ||