Information on Result #1310773
Linear OA(5122, 5037, F5, 27) (dual of [5037, 4915, 28]-code), using 4914 step Varšamov–Edel lengthening with (ri) = (6, 3, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 4 times 0, 1, 4 times 0, 1, 5 times 0, 1, 6 times 0, 1, 5 times 0, 1, 7 times 0, 1, 7 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 10 times 0, 1, 11 times 0, 1, 11 times 0, 1, 13 times 0, 1, 13 times 0, 1, 15 times 0, 1, 15 times 0, 1, 17 times 0, 1, 18 times 0, 1, 19 times 0, 1, 20 times 0, 1, 22 times 0, 1, 23 times 0, 1, 25 times 0, 1, 27 times 0, 1, 28 times 0, 1, 31 times 0, 1, 33 times 0, 1, 34 times 0, 1, 37 times 0, 1, 40 times 0, 1, 42 times 0, 1, 45 times 0, 1, 48 times 0, 1, 52 times 0, 1, 54 times 0, 1, 59 times 0, 1, 62 times 0, 1, 66 times 0, 1, 71 times 0, 1, 75 times 0, 1, 80 times 0, 1, 86 times 0, 1, 91 times 0, 1, 97 times 0, 1, 103 times 0, 1, 110 times 0, 1, 117 times 0, 1, 125 times 0, 1, 133 times 0, 1, 141 times 0, 1, 151 times 0, 1, 160 times 0, 1, 171 times 0, 1, 182 times 0, 1, 193 times 0, 1, 206 times 0, 1, 219 times 0, 1, 234 times 0, 1, 248 times 0, 1, 264 times 0, 1, 282 times 0, 1, 300 times 0) based on linear OA(527, 28, F5, 27) (dual of [28, 1, 28]-code or 28-arc in PG(26,5)), using
- dual of repetition code with length 28 [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(5122, 5037, F5, 2, 27) (dual of [(5037, 2), 9952, 28]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(5122, 5037, F5, 3, 27) (dual of [(5037, 3), 14989, 28]-NRT-code) | [i] | ||
| 3 | Digital (95, 122, 5037)-net over F5 | [i] | ||