Information on Result #679907
Linear OA(4232, 4130, F4, 50) (dual of [4130, 3898, 51]-code), using construction XX applied to Ce(49) ⊂ Ce(44) ⊂ Ce(42) based on
- linear OA(4223, 4096, F4, 50) (dual of [4096, 3873, 51]-code), using an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(4199, 4096, F4, 45) (dual of [4096, 3897, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(4193, 4096, F4, 43) (dual of [4096, 3903, 44]-code), using an extension Ce(42) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,42], and designed minimum distance d ≥ |I|+1 = 43 [i]
- linear OA(47, 32, F4, 4) (dual of [32, 25, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(47, 43, F4, 4) (dual of [43, 36, 5]-code), using
- linear OA(41, 2, F4, 1) (dual of [2, 1, 2]-code), using
- dual of repetition code with length 2 [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 OA(4233, 4131, F4, 50) (dual of [4131, 3898, 51]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4234, 4132, F4, 50) (dual of [4132, 3898, 51]-code) | [i] | ||
| 3 | Linear OA(4235, 4133, F4, 50) (dual of [4133, 3898, 51]-code) | [i] | ||
| 4 | Linear OOA(4232, 2065, F4, 2, 50) (dual of [(2065, 2), 3898, 51]-NRT-code) | [i] | OOA Folding | |