Information on Result #679895
Linear OA(4250, 4130, F4, 54) (dual of [4130, 3880, 55]-code), using construction XX applied to Ce(53) ⊂ Ce(48) ⊂ Ce(46) based on
- linear OA(4241, 4096, F4, 54) (dual of [4096, 3855, 55]-code), using an extension Ce(53) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,53], and designed minimum distance d ≥ |I|+1 = 54 [i]
- linear OA(4217, 4096, F4, 49) (dual of [4096, 3879, 50]-code), using an extension Ce(48) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,48], and designed minimum distance d ≥ |I|+1 = 49 [i]
- linear OA(4211, 4096, F4, 47) (dual of [4096, 3885, 48]-code), using an extension Ce(46) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,46], and designed minimum distance d ≥ |I|+1 = 47 [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(4251, 4131, F4, 54) (dual of [4131, 3880, 55]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4252, 4132, F4, 54) (dual of [4132, 3880, 55]-code) | [i] | ||
| 3 | Linear OA(4253, 4133, F4, 54) (dual of [4133, 3880, 55]-code) | [i] | ||
| 4 | Linear OOA(4250, 2065, F4, 2, 54) (dual of [(2065, 2), 3880, 55]-NRT-code) | [i] | OOA Folding | |