Information on Result #679822
Linear OA(4155, 4148, F4, 31) (dual of [4148, 3993, 32]-code), using construction X applied to Ce(30) ⊂ Ce(22) based on
- linear OA(4139, 4096, F4, 31) (dual of [4096, 3957, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(4103, 4096, F4, 23) (dual of [4096, 3993, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(416, 52, F4, 7) (dual of [52, 36, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- discarding factors / shortening the dual code based on linear OA(416, 63, F4, 7) (dual of [63, 47, 8]-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(4156, 4149, F4, 31) (dual of [4149, 3993, 32]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4155, 2074, F4, 2, 31) (dual of [(2074, 2), 3993, 32]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4155, 1382, F4, 3, 31) (dual of [(1382, 3), 3991, 32]-NRT-code) | [i] | ||