Information on Result #606371
Linear OA(1613, 16, F16, 13) (dual of [16, 3, 14]-code or 16-arc in PG(12,16)), using Reed–Solomon code RS(3,16)
Mode: Constructive and 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 OA(1665, 68, F16, 61) (dual of [68, 3, 62]-code) | [i] | Juxtaposition | |
2 | Linear OA(1678, 81, F16, 73) (dual of [81, 3, 74]-code) | [i] | ||
3 | Linear OA(2228, 240, F2, 111) (dual of [240, 12, 112]-code) | [i] | Concatenation of Two Codes | |
4 | Linear OA(474, 80, F4, 55) (dual of [80, 6, 56]-code) | [i] | ||
5 | Linear OOA(2244, 128, F2, 2, 139) (dual of [(128, 2), 12, 140]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
6 | Linear OOA(490, 48, F4, 2, 69) (dual of [(48, 2), 6, 70]-NRT-code) | [i] | ||
7 | Linear OOA(4122, 64, F4, 2, 97) (dual of [(64, 2), 6, 98]-NRT-code) | [i] | ||
8 | Linear OOA(4116, 60, F4, 2, 97) (dual of [(60, 2), 4, 98]-NRT-code) | [i] | ||
9 | Linear OOA(4154, 80, F4, 2, 125) (dual of [(80, 2), 6, 126]-NRT-code) | [i] | ||
10 | Linear OOA(4146, 75, F4, 2, 125) (dual of [(75, 2), 4, 126]-NRT-code) | [i] | ||
11 | Linear OOA(2180, 64, F2, 3, 111) (dual of [(64, 3), 12, 112]-NRT-code) | [i] | ||
12 | Linear OOA(2228, 80, F2, 3, 153) (dual of [(80, 3), 12, 154]-NRT-code) | [i] | ||
13 | Linear OOA(2217, 75, F2, 3, 153) (dual of [(75, 3), 8, 154]-NRT-code) | [i] | ||
14 | Linear OOA(4234, 80, F4, 3, 195) (dual of [(80, 3), 6, 196]-NRT-code) | [i] | ||
15 | Linear OOA(4221, 75, F4, 3, 195) (dual of [(75, 3), 4, 196]-NRT-code) | [i] | ||
16 | Linear OOA(2180, 48, F2, 4, 125) (dual of [(48, 4), 12, 126]-NRT-code) | [i] | ||
17 | Linear OOA(2172, 45, F2, 4, 125) (dual of [(45, 4), 8, 126]-NRT-code) | [i] | ||
18 | Linear OOA(2244, 64, F2, 4, 167) (dual of [(64, 4), 12, 168]-NRT-code) | [i] | ||
19 | Linear OOA(2232, 60, F2, 4, 167) (dual of [(60, 4), 8, 168]-NRT-code) | [i] | ||
20 | Linear OOA(2228, 48, F2, 5, 167) (dual of [(48, 5), 12, 168]-NRT-code) | [i] | ||
21 | Linear OOA(2217, 45, F2, 5, 167) (dual of [(45, 5), 8, 168]-NRT-code) | [i] |