Information on Result #622346
Linear OA(167, 24, F16, 6) (dual of [24, 17, 7]-code), using extended algebraic-geometric code AGe(F,17P) based on function field F/F16 with g(F) = 1 and N(F) ≥ 24, using
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(1633, 538, F16, 13) (dual of [538, 505, 14]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1644, 4121, F16, 13) (dual of [4121, 4077, 14]-code) | [i] | ||
| 3 | Linear OA(1657, 131098, F16, 13) (dual of [131098, 131041, 14]-code) | [i] | ||
| 4 | Linear OA(1668, 1048601, F16, 13) (dual of [1048601, 1048533, 14]-code) | [i] | ||
| 5 | Linear OA(1631, 538, F16, 12) (dual of [538, 507, 13]-code) | [i] | ||
| 6 | Linear OA(1641, 4120, F16, 12) (dual of [4120, 4079, 13]-code) | [i] | ||
| 7 | Linear OA(1653, 131096, F16, 12) (dual of [131096, 131043, 13]-code) | [i] | ||
| 8 | Linear OA(1663, 1048600, F16, 12) (dual of [1048600, 1048537, 13]-code) | [i] | ||
| 9 | Linear OA(1644, 4123, F16, 13) (dual of [4123, 4079, 14]-code) | [i] | ||
| 10 | Linear OA(1657, 131100, F16, 13) (dual of [131100, 131043, 14]-code) | [i] | ||
| 11 | Linear OA(1641, 4123, F16, 12) (dual of [4123, 4082, 13]-code) | [i] | ||
| 12 | Linear OA(1653, 131100, F16, 12) (dual of [131100, 131047, 13]-code) | [i] | ||
| 13 | OA(1672, 2097179, S16, 13) | [i] | ||
| 14 | Linear OA(1672, 1048618, F16, 13) (dual of [1048618, 1048546, 14]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 15 | Linear OA(16110, 4121, F16, 36) (dual of [4121, 4011, 37]-code) | [i] | Construction X with Cyclic Codes | |
| 16 | Linear OA(16104, 4121, F16, 34) (dual of [4121, 4017, 35]-code) | [i] | ||
| 17 | Linear OA(1698, 4121, F16, 32) (dual of [4121, 4023, 33]-code) | [i] | ||
| 18 | Linear OA(1684, 278, F16, 43) (dual of [278, 194, 44]-code) | [i] | Construction XX with Cyclic Codes | |
| 19 | Linear OA(1686, 278, F16, 44) (dual of [278, 192, 45]-code) | [i] | ||
| 20 | Linear OA(1688, 278, F16, 45) (dual of [278, 190, 46]-code) | [i] | ||
| 21 | Linear OA(1690, 278, F16, 46) (dual of [278, 188, 47]-code) | [i] | ||
| 22 | Linear OA(1692, 278, F16, 47) (dual of [278, 186, 48]-code) | [i] | ||
| 23 | Linear OA(1694, 278, F16, 48) (dual of [278, 184, 49]-code) | [i] | ||
| 24 | Linear OA(16111, 278, F16, 60) (dual of [278, 167, 61]-code) | [i] | ||
| 25 | Linear OA(16113, 278, F16, 61) (dual of [278, 165, 62]-code) | [i] | ||
| 26 | Linear OA(16115, 278, F16, 62) (dual of [278, 163, 63]-code) | [i] | ||
| 27 | Linear OA(16117, 278, F16, 63) (dual of [278, 161, 64]-code) | [i] | ||
| 28 | Linear OA(16119, 278, F16, 64) (dual of [278, 159, 65]-code) | [i] | ||
| 29 | Linear OA(16113, 4120, F16, 38) (dual of [4120, 4007, 39]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 30 | Linear OA(16110, 4120, F16, 37) (dual of [4120, 4010, 38]-code) | [i] | ||
| 31 | Linear OA(16107, 4120, F16, 36) (dual of [4120, 4013, 37]-code) | [i] | ||
| 32 | Linear OA(16104, 4120, F16, 35) (dual of [4120, 4016, 36]-code) | [i] | ||
| 33 | Linear OA(16101, 4120, F16, 34) (dual of [4120, 4019, 35]-code) | [i] | ||
| 34 | Linear OA(1698, 4120, F16, 33) (dual of [4120, 4022, 34]-code) | [i] | ||
| 35 | Linear OA(1668, 4120, F16, 22) (dual of [4120, 4052, 23]-code) | [i] | ||
| 36 | Linear OA(1665, 4120, F16, 21) (dual of [4120, 4055, 22]-code) | [i] | ||
| 37 | Linear OA(1662, 4120, F16, 20) (dual of [4120, 4058, 21]-code) | [i] | ||
| 38 | Linear OA(1659, 4120, F16, 19) (dual of [4120, 4061, 20]-code) | [i] | ||
| 39 | Linear OA(1656, 4120, F16, 18) (dual of [4120, 4064, 19]-code) | [i] | ||
| 40 | Linear OA(1653, 4120, F16, 17) (dual of [4120, 4067, 18]-code) | [i] | ||
| 41 | Linear OA(16117, 277, F16, 63) (dual of [277, 160, 64]-code) | [i] | ||
| 42 | Linear OA(16115, 277, F16, 62) (dual of [277, 162, 63]-code) | [i] | ||
| 43 | Linear OA(16113, 277, F16, 61) (dual of [277, 164, 62]-code) | [i] | ||
| 44 | Linear OA(16111, 277, F16, 60) (dual of [277, 166, 61]-code) | [i] | ||
| 45 | Linear OA(16109, 277, F16, 59) (dual of [277, 168, 60]-code) | [i] | ||
| 46 | Linear OA(16107, 276, F16, 58) (dual of [276, 169, 59]-code) | [i] | ||
| 47 | Linear OA(1692, 277, F16, 47) (dual of [277, 185, 48]-code) | [i] | ||
| 48 | Linear OA(1690, 277, F16, 46) (dual of [277, 187, 47]-code) | [i] | ||
| 49 | Linear OA(1688, 277, F16, 45) (dual of [277, 189, 46]-code) | [i] | ||
| 50 | Linear OA(1686, 277, F16, 44) (dual of [277, 191, 45]-code) | [i] | ||
| 51 | Linear OA(1684, 277, F16, 43) (dual of [277, 193, 44]-code) | [i] | ||
| 52 | Linear OA(1682, 277, F16, 42) (dual of [277, 195, 43]-code) | [i] | ||
| 53 | Linear OA(16111, 281, F16, 58) (dual of [281, 170, 59]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |