Information on Result #679485
Linear OA(4116, 4128, F4, 24) (dual of [4128, 4012, 25]-code), using construction X applied to C([0,12]) ⊂ C([0,9]) 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(485, 4097, F4, 19) (dual of [4097, 4012, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 412−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(47, 31, F4, 4) (dual of [31, 24, 5]-code), using
- discarding factors / shortening the dual code based on 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(4117, 4130, F4, 24) (dual of [4130, 4013, 25]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OOA(4116, 2064, F4, 2, 24) (dual of [(2064, 2), 4012, 25]-NRT-code) | [i] | OOA Folding | |
| 3 | Linear OOA(4116, 1376, F4, 3, 24) (dual of [(1376, 3), 4012, 25]-NRT-code) | [i] | ||