Information on Result #606369
Linear OA(1611, 16, F16, 11) (dual of [16, 5, 12]-code or 16-arc in PG(10,16)), using Reed–Solomon code RS(5,16)
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(1691, 96, F16, 71) (dual of [96, 5, 72]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16123, 128, F16, 95) (dual of [128, 5, 96]-code) | [i] | ||
| 3 | Linear OA(1675, 80, F16, 66) (dual of [80, 5, 67]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(1675, 79, F16, 67) (dual of [79, 4, 68]-code) | [i] | ||
| 5 | Linear OA(1676, 79, F16, 71) (dual of [79, 3, 72]-code) | [i] | ||
| 6 | Linear OA(1678, 82, F16, 70) (dual of [82, 4, 71]-code) | [i] | ||
| 7 | Linear OA(289, 105, F2, 35) (dual of [105, 16, 36]-code) | [i] | Concatenation of Two Codes | |
| 8 | Linear OA(2104, 120, F2, 47) (dual of [120, 16, 48]-code) | [i] | ||
| 9 | Linear OA(2100, 112, F2, 47) (dual of [112, 12, 48]-code) | [i] | ||
| 10 | Linear OA(2209, 225, F2, 95) (dual of [225, 16, 96]-code) | [i] | ||
| 11 | Linear OA(2198, 210, F2, 95) (dual of [210, 12, 96]-code) | [i] | ||
| 12 | Linear OA(438, 48, F4, 23) (dual of [48, 10, 24]-code) | [i] | ||
| 13 | Linear OA(454, 64, F4, 35) (dual of [64, 10, 36]-code) | [i] | ||
| 14 | Linear OA(470, 80, F4, 47) (dual of [80, 10, 48]-code) | [i] | ||
| 15 | Linear OA(467, 75, F4, 47) (dual of [75, 8, 48]-code) | [i] | ||
| 16 | Linear OA(464, 70, F4, 47) (dual of [70, 6, 48]-code) | [i] | ||
| 17 | Linear OOA(276, 48, F2, 2, 35) (dual of [(48, 2), 20, 36]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 18 | Linear OOA(274, 45, F2, 2, 35) (dual of [(45, 2), 16, 36]-NRT-code) | [i] | ||
| 19 | Linear OOA(2140, 80, F2, 2, 71) (dual of [(80, 2), 20, 72]-NRT-code) | [i] | ||
| 20 | Linear OOA(2134, 75, F2, 2, 71) (dual of [(75, 2), 16, 72]-NRT-code) | [i] | ||
| 21 | Linear OOA(2128, 70, F2, 2, 71) (dual of [(70, 2), 12, 72]-NRT-code) | [i] | ||
| 22 | Linear OOA(2236, 128, F2, 2, 119) (dual of [(128, 2), 20, 120]-NRT-code) | [i] | ||
| 23 | Linear OOA(2212, 112, F2, 2, 119) (dual of [(112, 2), 12, 120]-NRT-code) | [i] | ||
| 24 | Linear OOA(4118, 64, F4, 2, 83) (dual of [(64, 2), 10, 84]-NRT-code) | [i] | ||
| 25 | Linear OOA(4112, 60, F4, 2, 83) (dual of [(60, 2), 8, 84]-NRT-code) | [i] | ||
| 26 | Linear OOA(4100, 52, F4, 2, 83) (dual of [(52, 2), 4, 84]-NRT-code) | [i] | ||
| 27 | Linear OOA(4150, 80, F4, 2, 107) (dual of [(80, 2), 10, 108]-NRT-code) | [i] | ||
| 28 | Linear OOA(4142, 75, F4, 2, 107) (dual of [(75, 2), 8, 108]-NRT-code) | [i] | ||
| 29 | Linear OOA(4126, 65, F4, 2, 107) (dual of [(65, 2), 4, 108]-NRT-code) | [i] | ||
| 30 | Linear OOA(2124, 48, F2, 3, 71) (dual of [(48, 3), 20, 72]-NRT-code) | [i] | ||
| 31 | Linear OOA(2119, 45, F2, 3, 71) (dual of [(45, 3), 16, 72]-NRT-code) | [i] | ||
| 32 | Linear OOA(2114, 42, F2, 3, 71) (dual of [(42, 3), 12, 72]-NRT-code) | [i] | ||
| 33 | Linear OOA(2109, 39, F2, 3, 71) (dual of [(39, 3), 8, 72]-NRT-code) | [i] | ||
| 34 | Linear OOA(2220, 80, F2, 3, 131) (dual of [(80, 3), 20, 132]-NRT-code) | [i] | ||
| 35 | Linear OOA(2209, 75, F2, 3, 131) (dual of [(75, 3), 16, 132]-NRT-code) | [i] | ||
| 36 | Linear OOA(2198, 70, F2, 3, 131) (dual of [(70, 3), 12, 132]-NRT-code) | [i] | ||
| 37 | Linear OOA(2187, 65, F2, 3, 131) (dual of [(65, 3), 8, 132]-NRT-code) | [i] | ||
| 38 | Linear OOA(2254, 90, F2, 3, 155) (dual of [(90, 3), 16, 156]-NRT-code) | [i] | ||
| 39 | Linear OOA(4191, 65, F4, 3, 167) (dual of [(65, 3), 4, 168]-NRT-code) | [i] | ||
| 40 | Linear OOA(2172, 48, F2, 4, 107) (dual of [(48, 4), 20, 108]-NRT-code) | [i] | ||
| 41 | Linear OOA(2164, 45, F2, 4, 107) (dual of [(45, 4), 16, 108]-NRT-code) | [i] | ||
| 42 | Linear OOA(2156, 42, F2, 4, 107) (dual of [(42, 4), 12, 108]-NRT-code) | [i] | ||
| 43 | Linear OOA(2148, 39, F2, 4, 107) (dual of [(39, 4), 8, 108]-NRT-code) | [i] | ||
| 44 | Linear OOA(2252, 65, F2, 4, 191) (dual of [(65, 4), 8, 192]-NRT-code) | [i] | ||
| 45 | Linear OOA(2209, 45, F2, 5, 143) (dual of [(45, 5), 16, 144]-NRT-code) | [i] | ||
| 46 | Linear OA(16121, 4123, F16, 35) (dual of [4123, 4002, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 47 | Linear OA(16122, 4125, F16, 35) (dual of [4125, 4003, 36]-code) | [i] | ||
| 48 | Linear OA(16123, 4127, F16, 35) (dual of [4127, 4004, 36]-code) | [i] | ||
| 49 | Linear OA(16124, 4129, F16, 35) (dual of [4129, 4005, 36]-code) | [i] | ||
| 50 | Linear OA(16118, 4122, F16, 34) (dual of [4122, 4004, 35]-code) | [i] | ||
| 51 | Linear OA(16119, 4124, F16, 34) (dual of [4124, 4005, 35]-code) | [i] | ||
| 52 | Linear OA(16120, 4126, F16, 34) (dual of [4126, 4006, 35]-code) | [i] | ||
| 53 | Linear OA(16121, 4128, F16, 34) (dual of [4128, 4007, 35]-code) | [i] | ||
| 54 | Linear OA(16115, 4123, F16, 33) (dual of [4123, 4008, 34]-code) | [i] | ||
| 55 | Linear OA(16116, 4125, F16, 33) (dual of [4125, 4009, 34]-code) | [i] | ||
| 56 | Linear OA(16117, 4127, F16, 33) (dual of [4127, 4010, 34]-code) | [i] | ||