Information on Result #612574
Linear OA(425, 65536, F4, 5) (dual of [65536, 65511, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5
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 OOA(425, 39694, F4, 2, 5) (dual of [(39694, 2), 79363, 6]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(425, 39694, F4, 3, 5) (dual of [(39694, 3), 119057, 6]-NRT-code) | [i] | ||
| 3 | Digital (20, 25, 39694)-net over F4 | [i] | ||
| 4 | Linear OA(433, 65544, F4, 6) (dual of [65544, 65511, 7]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(442, 65553, F4, 7) (dual of [65553, 65511, 8]-code) | [i] | ✔ | |
| 6 | Linear OA(454, 65565, F4, 9) (dual of [65565, 65511, 10]-code) | [i] | ✔ | |
| 7 | Linear OA(452, 65557, F4, 8) (dual of [65557, 65505, 9]-code) | [i] | ✔ | |
| 8 | Linear OA(463, 65567, F4, 10) (dual of [65567, 65504, 11]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 9 | Linear OA(453, 65557, F4, 9) (dual of [65557, 65504, 10]-code) | [i] | ✔ | |
| 10 | Linear OA(445, 65558, F4, 7) (dual of [65558, 65513, 8]-code) | [i] | ✔ | |
| 11 | Linear OA(434, 65546, F4, 6) (dual of [65546, 65512, 7]-code) | [i] | ✔ | Construction X4 with Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(442, 65554, F4, 7) (dual of [65554, 65512, 8]-code) | [i] | ✔ | |
| 13 | Linear OOA(425, 32768, F4, 2, 5) (dual of [(32768, 2), 65511, 6]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(425, 32767, F4, 3, 5) (dual of [(32767, 3), 98276, 6]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |
| 15 | Linear OOA(425, 32767, F4, 5, 5) (dual of [(32767, 5), 163810, 6]-NRT-code) | [i] | ||