Information on Result #603981
Linear OA(1283, 3, F128, 3) (dual of [3, 0, 4]-code or 3-arc in PG(2,128) or 3-cap in PG(2,128)), 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(12819, 384, F128, 11) (dual of [384, 365, 12]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(12819, 384, F128, 11) (dual of [384, 365, 12]-code) | [i] | ||
| 3 | Linear OA(12819, 384, F128, 11) (dual of [384, 365, 12]-code) | [i] | ||
| 4 | Linear OA(12816, 384, F128, 9) (dual of [384, 368, 10]-code) | [i] | ||
| 5 | Linear OA(12816, 384, F128, 9) (dual of [384, 368, 10]-code) | [i] | ||
| 6 | Linear OA(12816, 384, F128, 9) (dual of [384, 368, 10]-code) | [i] | ||
| 7 | Linear OA(12814, 384, F128, 8) (dual of [384, 370, 9]-code) | [i] | ||
| 8 | Linear OA(12814, 384, F128, 8) (dual of [384, 370, 9]-code) | [i] | ||
| 9 | Linear OA(12812, 384, F128, 7) (dual of [384, 372, 8]-code) | [i] | ||
| 10 | Linear OA(12812, 384, F128, 7) (dual of [384, 372, 8]-code) | [i] | ||
| 11 | Linear OA(12874, 16408, F128, 26) (dual of [16408, 16334, 27]-code) | [i] | ||
| 12 | Linear OA(12874, 16408, F128, 26) (dual of [16408, 16334, 27]-code) | [i] | ||
| 13 | Linear OA(12874, 16408, F128, 26) (dual of [16408, 16334, 27]-code) | [i] | ||
| 14 | Linear OA(12874, 16408, F128, 26) (dual of [16408, 16334, 27]-code) | [i] | ||
| 15 | Linear OA(12874, 16408, F128, 26) (dual of [16408, 16334, 27]-code) | [i] | ||
| 16 | Linear OA(12874, 16408, F128, 26) (dual of [16408, 16334, 27]-code) | [i] | ||
| 17 | Linear OA(12874, 16408, F128, 26) (dual of [16408, 16334, 27]-code) | [i] | ||
| 18 | Linear OA(12863, 16405, F128, 22) (dual of [16405, 16342, 23]-code) | [i] | ||
| 19 | Linear OA(12863, 16405, F128, 22) (dual of [16405, 16342, 23]-code) | [i] | ||
| 20 | Linear OA(12863, 16405, F128, 22) (dual of [16405, 16342, 23]-code) | [i] | ||
| 21 | Linear OA(12863, 16405, F128, 22) (dual of [16405, 16342, 23]-code) | [i] | ||
| 22 | Linear OA(12863, 16405, F128, 22) (dual of [16405, 16342, 23]-code) | [i] | ||
| 23 | Linear OA(12863, 16405, F128, 22) (dual of [16405, 16342, 23]-code) | [i] | ||
| 24 | Linear OA(12856, 16402, F128, 20) (dual of [16402, 16346, 21]-code) | [i] | ||
| 25 | Linear OA(12856, 16402, F128, 20) (dual of [16402, 16346, 21]-code) | [i] | ||
| 26 | Linear OA(12856, 16402, F128, 20) (dual of [16402, 16346, 21]-code) | [i] | ||
| 27 | Linear OA(12856, 16402, F128, 20) (dual of [16402, 16346, 21]-code) | [i] | ||
| 28 | Linear OA(12856, 16402, F128, 20) (dual of [16402, 16346, 21]-code) | [i] | ||
| 29 | Linear OA(12875, 2097170, F128, 20) (dual of [2097170, 2097095, 21]-code) | [i] | ||
| 30 | Linear OA(12875, 2097170, F128, 20) (dual of [2097170, 2097095, 21]-code) | [i] | ||
| 31 | Linear OA(12875, 2097170, F128, 20) (dual of [2097170, 2097095, 21]-code) | [i] | ||
| 32 | Linear OA(12875, 2097170, F128, 20) (dual of [2097170, 2097095, 21]-code) | [i] | ||
| 33 | Linear OA(12875, 2097170, F128, 20) (dual of [2097170, 2097095, 21]-code) | [i] | ||
| 34 | Linear OA(12845, 16399, F128, 16) (dual of [16399, 16354, 17]-code) | [i] | ||
| 35 | Linear OA(12845, 16399, F128, 16) (dual of [16399, 16354, 17]-code) | [i] | ||
| 36 | Linear OA(12845, 16399, F128, 16) (dual of [16399, 16354, 17]-code) | [i] | ||
| 37 | Linear OA(12845, 16399, F128, 16) (dual of [16399, 16354, 17]-code) | [i] | ||
| 38 | Linear OA(12860, 2097167, F128, 16) (dual of [2097167, 2097107, 17]-code) | [i] | ||
| 39 | Linear OA(12860, 2097167, F128, 16) (dual of [2097167, 2097107, 17]-code) | [i] | ||
| 40 | Linear OA(12860, 2097167, F128, 16) (dual of [2097167, 2097107, 17]-code) | [i] | ||
| 41 | Linear OA(12860, 2097167, F128, 16) (dual of [2097167, 2097107, 17]-code) | [i] | ||
| 42 | Linear OA(12838, 16396, F128, 14) (dual of [16396, 16358, 15]-code) | [i] | ||
| 43 | Linear OA(12838, 16396, F128, 14) (dual of [16396, 16358, 15]-code) | [i] | ||
| 44 | Linear OA(12838, 16396, F128, 14) (dual of [16396, 16358, 15]-code) | [i] | ||
| 45 | Linear OA(12851, 2097164, F128, 14) (dual of [2097164, 2097113, 15]-code) | [i] | ||
| 46 | Linear OA(12851, 2097164, F128, 14) (dual of [2097164, 2097113, 15]-code) | [i] | ||
| 47 | Linear OA(12851, 2097164, F128, 14) (dual of [2097164, 2097113, 15]-code) | [i] | ||
| 48 | Linear OA(12836, 2097161, F128, 10) (dual of [2097161, 2097125, 11]-code) | [i] | ||
| 49 | Linear OA(12836, 2097161, F128, 10) (dual of [2097161, 2097125, 11]-code) | [i] | ||
| 50 | Linear OA(12827, 2097158, F128, 8) (dual of [2097158, 2097131, 9]-code) | [i] | (u, u−v, u+v+w)-Construction | |