Information on Result #1314026
Linear OA(16103, 2216, F16, 38) (dual of [2216, 2113, 39]-code), using 2112 step Varšamov–Edel lengthening with (ri) = (4, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 0, 0, 0, 1, 5 times 0, 1, 4 times 0, 1, 6 times 0, 1, 6 times 0, 1, 6 times 0, 1, 7 times 0, 1, 8 times 0, 1, 9 times 0, 1, 9 times 0, 1, 11 times 0, 1, 11 times 0, 1, 12 times 0, 1, 14 times 0, 1, 15 times 0, 1, 16 times 0, 1, 17 times 0, 1, 19 times 0, 1, 21 times 0, 1, 22 times 0, 1, 24 times 0, 1, 27 times 0, 1, 28 times 0, 1, 31 times 0, 1, 33 times 0, 1, 37 times 0, 1, 39 times 0, 1, 42 times 0, 1, 46 times 0, 1, 50 times 0, 1, 53 times 0, 1, 58 times 0, 1, 62 times 0, 1, 68 times 0, 1, 73 times 0, 1, 79 times 0, 1, 85 times 0, 1, 92 times 0, 1, 99 times 0, 1, 107 times 0, 1, 116 times 0, 1, 124 times 0, 1, 135 times 0, 1, 145 times 0, 1, 157 times 0) based on linear OA(1638, 39, F16, 38) (dual of [39, 1, 39]-code or 39-arc in PG(37,16)), using
- dual of repetition code with length 39 [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(16103, 2216, F16, 2, 38) (dual of [(2216, 2), 4329, 39]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (65, 103, 2216)-net over F16 | [i] | ||
| 3 | Linear OOA(16103, 1108, F16, 2, 38) (dual of [(1108, 2), 2113, 39]-NRT-code) | [i] | OOA Folding | |