Information on Result #1323605
Linear OA(4159, 65599, F4, 25) (dual of [65599, 65440, 26]-code), using construction X applied to C([0,12]) ⊂ C([0,8]) based on
- linear OA(4145, 65537, F4, 25) (dual of [65537, 65392, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(497, 65537, F4, 17) (dual of [65537, 65440, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(414, 62, F4, 7) (dual of [62, 48, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
- a “GraXX†code from Grassl’s database [i]
- discarding factors / shortening the dual code based on linear OA(414, 65, F4, 7) (dual of [65, 51, 8]-code), using
Mode: 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(4160, 65600, F4, 25) (dual of [65600, 65440, 26]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4161, 65602, F4, 25) (dual of [65602, 65441, 26]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(4162, 65604, F4, 25) (dual of [65604, 65442, 26]-code) | [i] | ||
| 4 | Linear OOA(4159, 32799, F4, 2, 25) (dual of [(32799, 2), 65439, 26]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(4159, 21866, F4, 3, 25) (dual of [(21866, 3), 65439, 26]-NRT-code) | [i] | ||