Information on Result #1313908
Linear OA(1686, 2288, F16, 31) (dual of [2288, 2202, 32]-code), using 2201 step Varšamov–Edel lengthening with (ri) = (3, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 5 times 0, 1, 5 times 0, 1, 6 times 0, 1, 6 times 0, 1, 8 times 0, 1, 8 times 0, 1, 10 times 0, 1, 10 times 0, 1, 12 times 0, 1, 13 times 0, 1, 15 times 0, 1, 16 times 0, 1, 18 times 0, 1, 19 times 0, 1, 22 times 0, 1, 25 times 0, 1, 26 times 0, 1, 30 times 0, 1, 33 times 0, 1, 36 times 0, 1, 39 times 0, 1, 44 times 0, 1, 48 times 0, 1, 53 times 0, 1, 58 times 0, 1, 65 times 0, 1, 70 times 0, 1, 78 times 0, 1, 85 times 0, 1, 94 times 0, 1, 103 times 0, 1, 113 times 0, 1, 125 times 0, 1, 136 times 0, 1, 150 times 0, 1, 165 times 0, 1, 181 times 0, 1, 199 times 0) based on linear OA(1631, 32, F16, 31) (dual of [32, 1, 32]-code or 32-arc in PG(30,16)), using
- dual of repetition code with length 32 [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(1686, 2288, F16, 2, 31) (dual of [(2288, 2), 4490, 32]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (55, 86, 2288)-net over F16 | [i] | ||
| 3 | Linear OOA(1686, 1144, F16, 2, 31) (dual of [(1144, 2), 2202, 32]-NRT-code) | [i] | OOA Folding | |