Information on Result #737294
Linear OA(4118, 4130, F4, 25) (dual of [4130, 4012, 26]-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(49, 33, F4, 5) (dual of [33, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(49, 36, F4, 5) (dual of [36, 27, 6]-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(4120, 4132, F4, 25) (dual of [4132, 4012, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4121, 4133, F4, 25) (dual of [4133, 4012, 26]-code) | [i] | ||
| 3 | Linear OA(4117, 4129, F4, 24) (dual of [4129, 4012, 25]-code) | [i] | Truncation | |
| 4 | Linear OA(4120, 4133, F4, 25) (dual of [4133, 4013, 26]-code) | [i] | Construction X with Varšamov Bound | |
| 5 | Linear OA(4121, 4135, F4, 25) (dual of [4135, 4014, 26]-code) | [i] | ||
| 6 | Linear OOA(4118, 2065, F4, 2, 25) (dual of [(2065, 2), 4012, 26]-NRT-code) | [i] | OOA Folding | |
| 7 | Linear OOA(4118, 1376, F4, 3, 25) (dual of [(1376, 3), 4010, 26]-NRT-code) | [i] | ||