Information on Result #1310556
Linear OA(588, 4944, F5, 19) (dual of [4944, 4856, 20]-code), using 4855 step Varšamov–Edel lengthening with (ri) = (4, 3, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 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, 8 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 12 times 0, 1, 13 times 0, 1, 15 times 0, 1, 17 times 0, 1, 18 times 0, 1, 20 times 0, 1, 22 times 0, 1, 25 times 0, 1, 27 times 0, 1, 29 times 0, 1, 33 times 0, 1, 35 times 0, 1, 40 times 0, 1, 43 times 0, 1, 47 times 0, 1, 52 times 0, 1, 57 times 0, 1, 63 times 0, 1, 68 times 0, 1, 75 times 0, 1, 83 times 0, 1, 90 times 0, 1, 99 times 0, 1, 108 times 0, 1, 119 times 0, 1, 130 times 0, 1, 142 times 0, 1, 156 times 0, 1, 171 times 0, 1, 187 times 0, 1, 204 times 0, 1, 224 times 0, 1, 245 times 0, 1, 268 times 0, 1, 293 times 0, 1, 321 times 0, 1, 351 times 0, 1, 384 times 0, 1, 420 times 0) based on linear OA(519, 20, F5, 19) (dual of [20, 1, 20]-code or 20-arc in PG(18,5)), using
- dual of repetition code with length 20 [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(588, 4944, F5, 2, 19) (dual of [(4944, 2), 9800, 20]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(588, 4944, F5, 3, 19) (dual of [(4944, 3), 14744, 20]-NRT-code) | [i] | ||
| 3 | Digital (69, 88, 4944)-net over F5 | [i] | ||
| 4 | Linear OOA(588, 2472, F5, 2, 19) (dual of [(2472, 2), 4856, 20]-NRT-code) | [i] | OOA Folding | |