Information on Result #679535
Linear OA(4122, 4146, F4, 24) (dual of [4146, 4024, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
- linear OA(4109, 4097, F4, 25) (dual of [4097, 3988, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(473, 4097, F4, 17) (dual of [4097, 4024, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(413, 49, F4, 6) (dual of [49, 36, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(413, 63, F4, 6) (dual of [63, 50, 7]-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(4123, 4147, F4, 24) (dual of [4147, 4024, 25]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4122, 2073, F4, 2, 24) (dual of [(2073, 2), 4024, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4122, 1382, F4, 3, 24) (dual of [(1382, 3), 4024, 25]-NRT-code) | [i] | ||