Information on Result #1323604
Linear OA(4175, 65599, F4, 27) (dual of [65599, 65424, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,9]) based on
- linear OA(4161, 65537, F4, 27) (dual of [65537, 65376, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4113, 65537, F4, 19) (dual of [65537, 65424, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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(4176, 65600, F4, 27) (dual of [65600, 65424, 28]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(4177, 65602, F4, 27) (dual of [65602, 65425, 28]-code) | [i] | Construction X with Varšamov Bound | |
| 3 | Linear OA(4178, 65604, F4, 27) (dual of [65604, 65426, 28]-code) | [i] | ||
| 4 | Linear OA(4179, 65606, F4, 27) (dual of [65606, 65427, 28]-code) | [i] | ||
| 5 | Linear OOA(4175, 32799, F4, 2, 27) (dual of [(32799, 2), 65423, 28]-NRT-code) | [i] | OOA Folding | |