Information on Result #606824
Linear OA(1610, 17, F16, 10) (dual of [17, 7, 11]-code or 17-arc in PG(9,16)), using extended Reed–Solomon code RSe(7,16)
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(1668, 4113, F16, 21) (dual of [4113, 4045, 22]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1692, 131091, F16, 21) (dual of [131091, 130999, 22]-code) | [i] | ||
| 3 | Linear OA(16106, 1048593, F16, 21) (dual of [1048593, 1048487, 22]-code) | [i] | ||
| 4 | Linear OA(1665, 4113, F16, 20) (dual of [4113, 4048, 21]-code) | [i] | ||
| 5 | Linear OA(1688, 131089, F16, 20) (dual of [131089, 131001, 21]-code) | [i] | ||
| 6 | Linear OA(16101, 1048593, F16, 20) (dual of [1048593, 1048492, 21]-code) | [i] | ||
| 7 | Linear OA(1675, 82, F16, 63) (dual of [82, 7, 64]-code) | [i] | Juxtaposition | |
| 8 | Linear OA(1676, 83, F16, 64) (dual of [83, 7, 65]-code) | [i] | ||
| 9 | Linear OA(454, 68, F4, 32) (dual of [68, 14, 33]-code) | [i] | Concatenation of Two Codes | |
| 10 | Linear OA(471, 85, F4, 43) (dual of [85, 14, 44]-code) | [i] | ||
| 11 | Linear OOA(274, 51, F2, 2, 32) (dual of [(51, 2), 28, 33]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 12 | Linear OOA(2142, 85, F2, 2, 65) (dual of [(85, 2), 28, 66]-NRT-code) | [i] | ||
| 13 | Linear OOA(2125, 51, F2, 3, 65) (dual of [(51, 3), 28, 66]-NRT-code) | [i] | ||
| 14 | Linear OOA(2227, 85, F2, 3, 120) (dual of [(85, 3), 28, 121]-NRT-code) | [i] | ||
| 15 | Linear OA(1673, 81, F16, 61) (dual of [81, 8, 62]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 16 | Linear OA(1674, 82, F16, 62) (dual of [82, 8, 63]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 17 | Linear OA(16116, 4130, F16, 32) (dual of [4130, 4014, 33]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 18 | Linear OA(16113, 4131, F16, 31) (dual of [4131, 4018, 32]-code) | [i] | ||
| 19 | Linear OA(16113, 1048610, F16, 21) (dual of [1048610, 1048497, 22]-code) | [i] | ||
| 20 | Linear OA(16107, 1048610, F16, 20) (dual of [1048610, 1048503, 21]-code) | [i] | ||
| 21 | Linear OA(16127, 274, F16, 70) (dual of [274, 147, 71]-code) | [i] | Construction X with Cyclic Codes | |
| 22 | Linear OA(16123, 274, F16, 68) (dual of [274, 151, 69]-code) | [i] | ||