Information on Result #1310584
Linear OA(593, 5239, F5, 20) (dual of [5239, 5146, 21]-code), using 5145 step Varšamov–Edel lengthening with (ri) = (5, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 12 times 0, 1, 12 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 24 times 0, 1, 26 times 0, 1, 29 times 0, 1, 31 times 0, 1, 35 times 0, 1, 37 times 0, 1, 41 times 0, 1, 45 times 0, 1, 49 times 0, 1, 54 times 0, 1, 59 times 0, 1, 64 times 0, 1, 69 times 0, 1, 76 times 0, 1, 83 times 0, 1, 91 times 0, 1, 98 times 0, 1, 108 times 0, 1, 117 times 0, 1, 128 times 0, 1, 139 times 0, 1, 152 times 0, 1, 165 times 0, 1, 180 times 0, 1, 196 times 0, 1, 214 times 0, 1, 233 times 0, 1, 253 times 0, 1, 276 times 0, 1, 301 times 0, 1, 327 times 0, 1, 357 times 0, 1, 388 times 0, 1, 423 times 0) based on linear OA(520, 21, F5, 20) (dual of [21, 1, 21]-code or 21-arc in PG(19,5)), using
- dual of repetition code with length 21 [i]
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 OOA(593, 5239, F5, 2, 20) (dual of [(5239, 2), 10385, 21]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(593, 5239, F5, 3, 20) (dual of [(5239, 3), 15624, 21]-NRT-code) | [i] | ||
| 3 | Digital (73, 93, 5239)-net over F5 | [i] | ||