Information on Result #603985
Linear OA(1287, 7, F128, 7) (dual of [7, 0, 8]-code or 7-arc in PG(6,128)), using complete OA / dual of code with only one code word
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(12878, 16413, F128, 27) (dual of [16413, 16335, 28]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(12878, 16413, F128, 27) (dual of [16413, 16335, 28]-code) | [i] | ||
| 3 | Linear OA(12871, 16405, F128, 26) (dual of [16405, 16334, 27]-code) | [i] | ||
| 4 | Linear OA(12871, 16405, F128, 26) (dual of [16405, 16334, 27]-code) | [i] | ||
| 5 | Linear OA(12864, 16406, F128, 23) (dual of [16406, 16342, 24]-code) | [i] | ||
| 6 | Linear OA(12864, 16406, F128, 23) (dual of [16406, 16342, 24]-code) | [i] | ||
| 7 | Linear OA(12862, 16405, F128, 22) (dual of [16405, 16343, 23]-code) | [i] | ||
| 8 | Linear OA(12862, 16405, F128, 22) (dual of [16405, 16343, 23]-code) | [i] | ||
| 9 | Linear OA(12860, 16406, F128, 21) (dual of [16406, 16346, 22]-code) | [i] | ||
| 10 | Linear OA(12860, 16406, F128, 21) (dual of [16406, 16346, 22]-code) | [i] | ||
| 11 | Linear OA(12857, 16405, F128, 20) (dual of [16405, 16348, 21]-code) | [i] | ||
| 12 | Linear OA(12876, 2097173, F128, 20) (dual of [2097173, 2097097, 21]-code) | [i] | ||
| 13 | Linear OA(12854, 16406, F128, 19) (dual of [16406, 16352, 20]-code) | [i] | ||
| 14 | Linear OA(12872, 2097174, F128, 19) (dual of [2097174, 2097102, 20]-code) | [i] | ||
| 15 | Linear OA(12852, 16398, F128, 20) (dual of [16398, 16346, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 16 | Linear OA(12871, 2097166, F128, 20) (dual of [2097166, 2097095, 21]-code) | [i] | ||
| 17 | Linear OA(12848, 16398, F128, 18) (dual of [16398, 16350, 19]-code) | [i] | ||
| 18 | Linear OA(12865, 2097166, F128, 18) (dual of [2097166, 2097101, 19]-code) | [i] | ||
| 19 | Linear OA(12845, 16399, F128, 17) (dual of [16399, 16354, 18]-code) | [i] | ||
| 20 | Linear OA(12861, 2097167, F128, 17) (dual of [2097167, 2097106, 18]-code) | [i] | ||
| 21 | Linear OA(12843, 16398, F128, 16) (dual of [16398, 16355, 17]-code) | [i] | ||
| 22 | Linear OA(12858, 2097166, F128, 16) (dual of [2097166, 2097108, 17]-code) | [i] | ||