Information on Result #622366
Linear OA(1613, 33, F16, 11) (dual of [33, 20, 12]-code), using extended algebraic-geometric code AGe(F,21P) based on function field F/F16 with g(F) = 2 and N(F) ≥ 33, 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(1659, 547, F16, 23) (dual of [547, 488, 24]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(1677, 4129, F16, 23) (dual of [4129, 4052, 24]-code) | [i] | ||
| 3 | Linear OA(16103, 131107, F16, 23) (dual of [131107, 131004, 24]-code) | [i] | ||
| 4 | Linear OA(16119, 1048609, F16, 23) (dual of [1048609, 1048490, 24]-code) | [i] | ||
| 5 | Linear OA(1657, 547, F16, 22) (dual of [547, 490, 23]-code) | [i] | ||
| 6 | Linear OA(1674, 4129, F16, 22) (dual of [4129, 4055, 23]-code) | [i] | ||
| 7 | Linear OA(1699, 131105, F16, 22) (dual of [131105, 131006, 23]-code) | [i] | ||
| 8 | Linear OA(16114, 1048609, F16, 22) (dual of [1048609, 1048495, 23]-code) | [i] | ||
| 9 | Linear OA(1678, 98, F16, 51) (dual of [98, 20, 52]-code) | [i] | Juxtaposition | |
| 10 | Linear OA(1678, 97, F16, 52) (dual of [97, 19, 53]-code) | [i] | ||
| 11 | Linear OA(1678, 96, F16, 53) (dual of [96, 18, 54]-code) | [i] | ||
| 12 | Linear OA(1678, 95, F16, 54) (dual of [95, 17, 55]-code) | [i] | ||
| 13 | Linear OA(1678, 94, F16, 55) (dual of [94, 16, 56]-code) | [i] | ||
| 14 | Linear OA(1678, 93, F16, 56) (dual of [93, 15, 57]-code) | [i] | ||
| 15 | Linear OA(1678, 92, F16, 57) (dual of [92, 14, 58]-code) | [i] | ||
| 16 | Linear OA(1678, 91, F16, 58) (dual of [91, 13, 59]-code) | [i] | ||
| 17 | Linear OA(284, 160, F2, 23) (dual of [160, 76, 24]-code) | [i] | Concatenation of Two Codes | |
| 18 | Linear OA(283, 155, F2, 23) (dual of [155, 72, 24]-code) | [i] | ||
| 19 | Linear OA(282, 150, F2, 23) (dual of [150, 68, 24]-code) | [i] | ||
| 20 | Linear OA(281, 145, F2, 23) (dual of [145, 64, 24]-code) | [i] | ||
| 21 | Linear OA(280, 140, F2, 23) (dual of [140, 60, 24]-code) | [i] | ||
| 22 | Linear OA(453, 81, F4, 23) (dual of [81, 28, 24]-code) | [i] | ||
| 23 | Linear OOA(2116, 96, F2, 2, 35) (dual of [(96, 2), 76, 36]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 24 | Linear OOA(2114, 93, F2, 2, 35) (dual of [(93, 2), 72, 36]-NRT-code) | [i] | ||
| 25 | Linear OOA(2112, 90, F2, 2, 35) (dual of [(90, 2), 68, 36]-NRT-code) | [i] | ||
| 26 | Linear OOA(2110, 87, F2, 2, 35) (dual of [(87, 2), 64, 36]-NRT-code) | [i] | ||
| 27 | Linear OOA(2108, 84, F2, 2, 35) (dual of [(84, 2), 60, 36]-NRT-code) | [i] | ||
| 28 | Linear OOA(2106, 81, F2, 2, 35) (dual of [(81, 2), 56, 36]-NRT-code) | [i] | ||
| 29 | Linear OOA(2104, 78, F2, 2, 35) (dual of [(78, 2), 52, 36]-NRT-code) | [i] | ||
| 30 | Linear OOA(2187, 81, F2, 3, 71) (dual of [(81, 3), 56, 72]-NRT-code) | [i] | ||
| 31 | Linear OOA(2182, 78, F2, 3, 71) (dual of [(78, 3), 52, 72]-NRT-code) | [i] | ||
| 32 | Linear OA(16126, 1048626, F16, 23) (dual of [1048626, 1048500, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 33 | Linear OA(16103, 287, F16, 53) (dual of [287, 184, 54]-code) | [i] | Construction XX with Cyclic Codes | |
| 34 | Linear OA(16105, 291, F16, 53) (dual of [291, 186, 54]-code) | [i] | ||
| 35 | Linear OA(16105, 287, F16, 54) (dual of [287, 182, 55]-code) | [i] | ||
| 36 | Linear OA(16107, 292, F16, 54) (dual of [292, 185, 55]-code) | [i] | ||
| 37 | Linear OA(16106, 290, F16, 54) (dual of [290, 184, 55]-code) | [i] | ||
| 38 | Linear OA(16107, 287, F16, 55) (dual of [287, 180, 56]-code) | [i] | ||
| 39 | Linear OA(16109, 292, F16, 55) (dual of [292, 183, 56]-code) | [i] | ||
| 40 | Linear OA(16108, 290, F16, 55) (dual of [290, 182, 56]-code) | [i] | ||
| 41 | Linear OA(16109, 293, F16, 55) (dual of [293, 184, 56]-code) | [i] | ||
| 42 | Linear OA(16109, 287, F16, 56) (dual of [287, 178, 57]-code) | [i] | ||
| 43 | Linear OA(16111, 292, F16, 56) (dual of [292, 181, 57]-code) | [i] | ||
| 44 | Linear OA(16110, 290, F16, 56) (dual of [290, 180, 57]-code) | [i] | ||
| 45 | Linear OA(16111, 293, F16, 56) (dual of [293, 182, 57]-code) | [i] | ||
| 46 | Linear OA(16111, 287, F16, 57) (dual of [287, 176, 58]-code) | [i] | ||
| 47 | Linear OA(16113, 292, F16, 57) (dual of [292, 179, 58]-code) | [i] | ||
| 48 | Linear OA(16112, 290, F16, 57) (dual of [290, 178, 58]-code) | [i] | ||
| 49 | Linear OA(16113, 293, F16, 57) (dual of [293, 180, 58]-code) | [i] | ||
| 50 | Linear OA(16113, 287, F16, 58) (dual of [287, 174, 59]-code) | [i] | ||
| 51 | Linear OA(16115, 292, F16, 58) (dual of [292, 177, 59]-code) | [i] | ||
| 52 | Linear OA(16114, 290, F16, 58) (dual of [290, 176, 59]-code) | [i] | ||
| 53 | Linear OA(16115, 293, F16, 58) (dual of [293, 178, 59]-code) | [i] | ||
| 54 | Linear OA(16115, 287, F16, 59) (dual of [287, 172, 60]-code) | [i] | ||
| 55 | Linear OA(16117, 292, F16, 59) (dual of [292, 175, 60]-code) | [i] | ||
| 56 | Linear OA(16116, 290, F16, 59) (dual of [290, 174, 60]-code) | [i] | ||
| 57 | Linear OA(16117, 293, F16, 59) (dual of [293, 176, 60]-code) | [i] | ||
| 58 | Linear OA(16117, 287, F16, 60) (dual of [287, 170, 61]-code) | [i] | ||
| 59 | Linear OA(16119, 292, F16, 60) (dual of [292, 173, 61]-code) | [i] | ||
| 60 | Linear OA(16118, 290, F16, 60) (dual of [290, 172, 61]-code) | [i] | ||
| 61 | Linear OA(16119, 293, F16, 60) (dual of [293, 174, 61]-code) | [i] | ||
| 62 | Linear OA(16121, 292, F16, 61) (dual of [292, 171, 62]-code) | [i] | ||
| 63 | Linear OA(16120, 290, F16, 61) (dual of [290, 170, 62]-code) | [i] | ||
| 64 | Linear OA(16121, 293, F16, 61) (dual of [293, 172, 62]-code) | [i] | ||
| 65 | Linear OA(16123, 293, F16, 62) (dual of [293, 170, 63]-code) | [i] | ||
| 66 | Linear OA(16128, 285, F16, 70) (dual of [285, 157, 71]-code) | [i] | ||
| 67 | Linear OA(16130, 285, F16, 71) (dual of [285, 155, 72]-code) | [i] | ||
| 68 | Linear OA(16130, 284, F16, 71) (dual of [284, 154, 72]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 69 | Linear OA(16128, 284, F16, 70) (dual of [284, 156, 71]-code) | [i] | ||
| 70 | Linear OA(16126, 284, F16, 69) (dual of [284, 158, 70]-code) | [i] | ||
| 71 | Linear OA(16125, 285, F16, 68) (dual of [285, 160, 69]-code) | [i] | ||
| 72 | Linear OA(16115, 286, F16, 59) (dual of [286, 171, 60]-code) | [i] | ||
| 73 | Linear OA(16113, 286, F16, 58) (dual of [286, 173, 59]-code) | [i] | ||
| 74 | Linear OA(16111, 286, F16, 57) (dual of [286, 175, 58]-code) | [i] | ||
| 75 | Linear OA(16109, 286, F16, 56) (dual of [286, 177, 57]-code) | [i] | ||
| 76 | Linear OA(16107, 286, F16, 55) (dual of [286, 179, 56]-code) | [i] | ||
| 77 | Linear OA(16105, 286, F16, 54) (dual of [286, 181, 55]-code) | [i] | ||
| 78 | Linear OA(16103, 286, F16, 53) (dual of [286, 183, 54]-code) | [i] | ||
| 79 | Linear OA(16101, 286, F16, 52) (dual of [286, 185, 53]-code) | [i] | ||
| 80 | Linear OA(16100, 287, F16, 51) (dual of [287, 187, 52]-code) | [i] | ||
| 81 | Linear OA(16125, 289, F16, 66) (dual of [289, 164, 67]-code) | [i] | ||