Information on Result #710943
Linear OA(548, 624, F5, 15) (dual of [624, 576, 16]-code), using the primitive BCH-code C(I) with length 624 = 54−1, defining interval I = {141,142,…,155}, and designed minimum distance d ≥ |I|+1 = 16
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(556, 635, F5, 15) (dual of [635, 579, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(557, 638, F5, 15) (dual of [638, 581, 16]-code) | [i] | ||
| 3 | Linear OOA(548, 469, F5, 2, 15) (dual of [(469, 2), 890, 16]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 4 | Linear OOA(548, 469, F5, 3, 15) (dual of [(469, 3), 1359, 16]-NRT-code) | [i] | ||
| 5 | Digital (33, 48, 469)-net over F5 | [i] | ||
| 6 | Linear OA(552, 664, F5, 15) (dual of [664, 612, 16]-code) | [i] | Varšamov–Edel Lengthening | |
| 7 | Linear OA(553, 706, F5, 15) (dual of [706, 653, 16]-code) | [i] | ||
| 8 | Linear OA(554, 770, F5, 15) (dual of [770, 716, 16]-code) | [i] | ||
| 9 | Linear OA(555, 853, F5, 15) (dual of [853, 798, 16]-code) | [i] | ||
| 10 | Linear OA(556, 953, F5, 15) (dual of [953, 897, 16]-code) | [i] | ||
| 11 | Linear OA(564, 658, F5, 17) (dual of [658, 594, 18]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 12 | Linear OA(561, 653, F5, 17) (dual of [653, 592, 18]-code) | [i] | ✔ | |
| 13 | Linear OA(558, 646, F5, 17) (dual of [646, 588, 18]-code) | [i] | ✔ | |
| 14 | Linear OA(572, 664, F5, 19) (dual of [664, 592, 20]-code) | [i] | ✔ | |
| 15 | Linear OA(577, 653, F5, 22) (dual of [653, 576, 23]-code) | [i] | ✔ | |
| 16 | Linear OA(588, 664, F5, 24) (dual of [664, 576, 25]-code) | [i] | ✔ | |
| 17 | Linear OA(595, 671, F5, 25) (dual of [671, 576, 26]-code) | [i] | ✔ | |
| 18 | Linear OOA(548, 312, F5, 2, 15) (dual of [(312, 2), 576, 16]-NRT-code) | [i] | OOA Folding | |
| 19 | Linear OOA(548, 208, F5, 3, 15) (dual of [(208, 3), 576, 16]-NRT-code) | [i] | ||