Information on Result #606821
Linear OA(167, 17, F16, 7) (dual of [17, 10, 8]-code or 17-arc in PG(6,16)), using extended Reed–Solomon code RSe(10,16)
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(414, 34, F4, 7) (dual of [34, 20, 8]-code) | [i] | Trace Code | |
| 2 | Linear OA(1637, 531, F16, 15) (dual of [531, 494, 16]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(1650, 4114, F16, 15) (dual of [4114, 4064, 16]-code) | [i] | ||
| 4 | Linear OA(1665, 131091, F16, 15) (dual of [131091, 131026, 16]-code) | [i] | ||
| 5 | Linear OA(1678, 1048594, F16, 15) (dual of [1048594, 1048516, 16]-code) | [i] | ||
| 6 | Linear OA(1635, 531, F16, 14) (dual of [531, 496, 15]-code) | [i] | ||
| 7 | Linear OA(1647, 4113, F16, 14) (dual of [4113, 4066, 15]-code) | [i] | ||
| 8 | Linear OA(1661, 131089, F16, 14) (dual of [131089, 131028, 15]-code) | [i] | ||
| 9 | Linear OA(1673, 1048593, F16, 14) (dual of [1048593, 1048520, 15]-code) | [i] | ||
| 10 | OA(1683, 2097172, S16, 15) | [i] | ||
| 11 | OA(1677, 2097172, S16, 14) | [i] | ||
| 12 | Linear OA(1682, 119, F16, 47) (dual of [119, 37, 48]-code) | [i] | Generalized (u, u+v)-Construction | |
| 13 | Linear OA(1672, 82, F16, 57) (dual of [82, 10, 58]-code) | [i] | Juxtaposition | |
| 14 | Linear OOA(262, 51, F2, 2, 23) (dual of [(51, 2), 40, 24]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 15 | Linear OOA(2113, 51, F2, 3, 47) (dual of [(51, 3), 40, 48]-NRT-code) | [i] | ||
| 16 | Linear OA(16124, 1048610, F16, 23) (dual of [1048610, 1048486, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 17 | Linear OA(16125, 1048617, F16, 23) (dual of [1048617, 1048492, 24]-code) | [i] | ||
| 18 | Linear OA(16126, 1048626, F16, 23) (dual of [1048626, 1048500, 24]-code) | [i] | ||
| 19 | Linear OA(16119, 1048610, F16, 22) (dual of [1048610, 1048491, 23]-code) | [i] | ||
| 20 | Linear OA(16120, 1048617, F16, 22) (dual of [1048617, 1048497, 23]-code) | [i] | ||
| 21 | Linear OA(16113, 1048610, F16, 21) (dual of [1048610, 1048497, 22]-code) | [i] | ||
| 22 | Linear OA(16114, 1048617, F16, 21) (dual of [1048617, 1048503, 22]-code) | [i] | ||
| 23 | Linear OA(1655, 4131, F16, 15) (dual of [4131, 4076, 16]-code) | [i] | ||
| 24 | Linear OA(1670, 131108, F16, 15) (dual of [131108, 131038, 16]-code) | [i] | ||
| 25 | Linear OA(1683, 1048611, F16, 15) (dual of [1048611, 1048528, 16]-code) | [i] | ||
| 26 | Linear OA(1651, 4130, F16, 14) (dual of [4130, 4079, 15]-code) | [i] | ||
| 27 | Linear OA(1665, 131106, F16, 14) (dual of [131106, 131041, 15]-code) | [i] | ||
| 28 | Linear OA(1677, 1048610, F16, 14) (dual of [1048610, 1048533, 15]-code) | [i] | ||
| 29 | Linear OA(16120, 274, F16, 63) (dual of [274, 154, 64]-code) | [i] | Construction X with Cyclic Codes | |
| 30 | Linear OA(1671, 276, F16, 36) (dual of [276, 205, 37]-code) | [i] | Construction XX with Cyclic Codes | |
| 31 | Linear OA(1670, 274, F16, 36) (dual of [274, 204, 37]-code) | [i] | ||
| 32 | Linear OA(1673, 276, F16, 37) (dual of [276, 203, 38]-code) | [i] | ||
| 33 | Linear OA(1672, 274, F16, 37) (dual of [274, 202, 38]-code) | [i] | ||
| 34 | Linear OA(1673, 277, F16, 37) (dual of [277, 204, 38]-code) | [i] | ||
| 35 | Linear OA(1675, 276, F16, 38) (dual of [276, 201, 39]-code) | [i] | ||
| 36 | Linear OA(1674, 274, F16, 38) (dual of [274, 200, 39]-code) | [i] | ||
| 37 | Linear OA(1675, 277, F16, 38) (dual of [277, 202, 39]-code) | [i] | ||
| 38 | Linear OA(1677, 276, F16, 39) (dual of [276, 199, 40]-code) | [i] | ||
| 39 | Linear OA(1676, 274, F16, 39) (dual of [274, 198, 40]-code) | [i] | ||
| 40 | Linear OA(1677, 277, F16, 39) (dual of [277, 200, 40]-code) | [i] | ||
| 41 | Linear OA(1679, 277, F16, 40) (dual of [277, 198, 41]-code) | [i] | ||
| 42 | Linear OA(16119, 273, F16, 67) (dual of [273, 154, 68]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 43 | Linear OA(1694, 273, F16, 51) (dual of [273, 179, 52]-code) | [i] | ||
| 44 | Linear OA(1676, 273, F16, 39) (dual of [273, 197, 40]-code) | [i] | ||
| 45 | Linear OA(1674, 273, F16, 38) (dual of [273, 199, 39]-code) | [i] | ||
| 46 | Linear OA(1672, 273, F16, 37) (dual of [273, 201, 38]-code) | [i] | ||
| 47 | Linear OA(1670, 273, F16, 36) (dual of [273, 203, 37]-code) | [i] | ||
| 48 | Linear OA(1668, 273, F16, 35) (dual of [273, 205, 36]-code) | [i] | ||
| 49 | Linear OA(16102, 274, F16, 55) (dual of [274, 172, 56]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 50 | Linear OA(16100, 274, F16, 54) (dual of [274, 174, 55]-code) | [i] | ||
| 51 | Linear OA(1698, 274, F16, 53) (dual of [274, 176, 54]-code) | [i] | ||
| 52 | Linear OA(1696, 274, F16, 52) (dual of [274, 178, 53]-code) | [i] | ||