Information on Result #606820
Linear OA(166, 17, F16, 6) (dual of [17, 11, 7]-code or 17-arc in PG(5,16)), using extended Reed–Solomon code RSe(11,16)
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(412, 34, F4, 6) (dual of [34, 22, 7]-code) | [i] | Trace Code | |
| 2 | Linear OA(1632, 531, F16, 13) (dual of [531, 499, 14]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(1643, 4114, F16, 13) (dual of [4114, 4071, 14]-code) | [i] | ||
| 4 | Linear OA(1656, 131091, F16, 13) (dual of [131091, 131035, 14]-code) | [i] | ||
| 5 | Linear OA(1667, 1048594, F16, 13) (dual of [1048594, 1048527, 14]-code) | [i] | ||
| 6 | Linear OA(1630, 531, F16, 12) (dual of [531, 501, 13]-code) | [i] | ||
| 7 | Linear OA(1640, 4113, F16, 12) (dual of [4113, 4073, 13]-code) | [i] | ||
| 8 | Linear OA(1652, 131089, F16, 12) (dual of [131089, 131037, 13]-code) | [i] | ||
| 9 | Linear OA(1662, 1048593, F16, 12) (dual of [1048593, 1048531, 13]-code) | [i] | ||
| 10 | OA(1671, 2097172, S16, 13) | [i] | ||
| 11 | OA(1666, 2097172, S16, 12) | [i] | ||
| 12 | Linear OA(1682, 119, F16, 47) (dual of [119, 37, 48]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OOA(258, 51, F2, 2, 20) (dual of [(51, 2), 44, 21]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 14 | Linear OA(16107, 1048610, F16, 20) (dual of [1048610, 1048503, 21]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(16108, 1048617, F16, 20) (dual of [1048617, 1048509, 21]-code) | [i] | ||
| 16 | Linear OA(16101, 1048610, F16, 19) (dual of [1048610, 1048509, 20]-code) | [i] | ||
| 17 | Linear OA(16102, 1048617, F16, 19) (dual of [1048617, 1048515, 20]-code) | [i] | ||
| 18 | Linear OA(1696, 1048610, F16, 18) (dual of [1048610, 1048514, 19]-code) | [i] | ||
| 19 | Linear OA(1647, 4131, F16, 13) (dual of [4131, 4084, 14]-code) | [i] | ||
| 20 | Linear OA(1660, 131108, F16, 13) (dual of [131108, 131048, 14]-code) | [i] | ||
| 21 | Linear OA(1671, 1048611, F16, 13) (dual of [1048611, 1048540, 14]-code) | [i] | ||
| 22 | Linear OA(1666, 1048610, F16, 12) (dual of [1048610, 1048544, 13]-code) | [i] | ||
| 23 | Linear OA(16119, 274, F16, 62) (dual of [274, 155, 63]-code) | [i] | Construction X with Cyclic Codes | |
| 24 | Linear OA(16113, 605, F16, 41) (dual of [605, 492, 42]-code) | [i] | Construction XX with Cyclic Codes | |
| 25 | Linear OA(16116, 605, F16, 42) (dual of [605, 489, 43]-code) | [i] | ||
| 26 | Linear OA(16119, 605, F16, 43) (dual of [605, 486, 44]-code) | [i] | ||
| 27 | Linear OA(16119, 603, F16, 43) (dual of [603, 484, 44]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 28 | Linear OA(16116, 603, F16, 42) (dual of [603, 487, 43]-code) | [i] | ||
| 29 | Linear OA(16113, 603, F16, 41) (dual of [603, 490, 42]-code) | [i] | ||
| 30 | Linear OA(16110, 603, F16, 40) (dual of [603, 493, 41]-code) | [i] | ||
| 31 | Linear OA(16118, 273, F16, 65) (dual of [273, 155, 66]-code) | [i] | ||
| 32 | Linear OA(1693, 273, F16, 49) (dual of [273, 180, 50]-code) | [i] | ||
| 33 | Linear OA(16119, 274, F16, 66) (dual of [274, 155, 67]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 34 | Linear OA(1694, 274, F16, 50) (dual of [274, 180, 51]-code) | [i] | ||
| 35 | Linear OA(1667, 274, F16, 34) (dual of [274, 207, 35]-code) | [i] | ||