Information on Result #622367
Linear OA(1614, 33, F16, 12) (dual of [33, 19, 13]-code), using extended algebraic-geometric code AGe(F,20P) 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(428, 66, F4, 12) (dual of [66, 38, 13]-code) | [i] | Trace Code | |
| 2 | Linear OA(1645, 98, F16, 25) (dual of [98, 53, 26]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(1664, 547, F16, 25) (dual of [547, 483, 26]-code) | [i] | ||
| 4 | Linear OA(1684, 4129, F16, 25) (dual of [4129, 4045, 26]-code) | [i] | ||
| 5 | Linear OA(16112, 131107, F16, 25) (dual of [131107, 130995, 26]-code) | [i] | ||
| 6 | Linear OA(16130, 1048609, F16, 25) (dual of [1048609, 1048479, 26]-code) | [i] | ||
| 7 | Linear OA(1662, 547, F16, 24) (dual of [547, 485, 25]-code) | [i] | ||
| 8 | Linear OA(1681, 4129, F16, 24) (dual of [4129, 4048, 25]-code) | [i] | ||
| 9 | Linear OA(16108, 131105, F16, 24) (dual of [131105, 130997, 25]-code) | [i] | ||
| 10 | Linear OA(16125, 1048609, F16, 24) (dual of [1048609, 1048484, 25]-code) | [i] | ||
| 11 | Linear OA(1679, 98, F16, 53) (dual of [98, 19, 54]-code) | [i] | Juxtaposition | |
| 12 | Linear OA(1679, 97, F16, 54) (dual of [97, 18, 55]-code) | [i] | ||
| 13 | Linear OA(1679, 96, F16, 55) (dual of [96, 17, 56]-code) | [i] | ||
| 14 | Linear OA(1679, 95, F16, 56) (dual of [95, 16, 57]-code) | [i] | ||
| 15 | Linear OA(1679, 94, F16, 57) (dual of [94, 15, 58]-code) | [i] | ||
| 16 | Linear OA(1679, 93, F16, 58) (dual of [93, 14, 59]-code) | [i] | ||
| 17 | Linear OA(1679, 92, F16, 59) (dual of [92, 13, 60]-code) | [i] | ||
| 18 | Linear OA(1679, 91, F16, 60) (dual of [91, 12, 61]-code) | [i] | ||
| 19 | Linear OA(289, 165, F2, 25) (dual of [165, 76, 26]-code) | [i] | Concatenation of Two Codes | |
| 20 | Linear OA(288, 160, F2, 25) (dual of [160, 72, 26]-code) | [i] | ||
| 21 | Linear OA(287, 155, F2, 25) (dual of [155, 68, 26]-code) | [i] | ||
| 22 | Linear OA(286, 150, F2, 25) (dual of [150, 64, 26]-code) | [i] | ||
| 23 | Linear OA(285, 145, F2, 25) (dual of [145, 60, 26]-code) | [i] | ||
| 24 | Linear OA(284, 140, F2, 25) (dual of [140, 56, 26]-code) | [i] | ||
| 25 | Linear OA(283, 135, F2, 25) (dual of [135, 52, 26]-code) | [i] | ||
| 26 | Linear OA(459, 93, F4, 25) (dual of [93, 34, 26]-code) | [i] | ||
| 27 | Linear OA(457, 87, F4, 25) (dual of [87, 30, 26]-code) | [i] | ||
| 28 | Linear OA(456, 84, F4, 25) (dual of [84, 28, 26]-code) | [i] | ||
| 29 | Linear OOA(2122, 99, F2, 2, 38) (dual of [(99, 2), 76, 39]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 30 | Linear OOA(2120, 96, F2, 2, 38) (dual of [(96, 2), 72, 39]-NRT-code) | [i] | ||
| 31 | Linear OOA(2118, 93, F2, 2, 38) (dual of [(93, 2), 68, 39]-NRT-code) | [i] | ||
| 32 | Linear OOA(2116, 90, F2, 2, 38) (dual of [(90, 2), 64, 39]-NRT-code) | [i] | ||
| 33 | Linear OOA(2114, 87, F2, 2, 38) (dual of [(87, 2), 60, 39]-NRT-code) | [i] | ||
| 34 | Linear OOA(2112, 84, F2, 2, 38) (dual of [(84, 2), 56, 39]-NRT-code) | [i] | ||
| 35 | Linear OOA(2110, 81, F2, 2, 38) (dual of [(81, 2), 52, 39]-NRT-code) | [i] | ||
| 36 | Linear OOA(2108, 78, F2, 2, 38) (dual of [(78, 2), 48, 39]-NRT-code) | [i] | ||
| 37 | Linear OOA(2211, 93, F2, 3, 77) (dual of [(93, 3), 68, 78]-NRT-code) | [i] | ||
| 38 | Linear OOA(2201, 87, F2, 3, 77) (dual of [(87, 3), 60, 78]-NRT-code) | [i] | ||
| 39 | Linear OOA(2196, 84, F2, 3, 77) (dual of [(84, 3), 56, 78]-NRT-code) | [i] | ||
| 40 | Linear OOA(2191, 81, F2, 3, 77) (dual of [(81, 3), 52, 78]-NRT-code) | [i] | ||
| 41 | Linear OOA(2186, 78, F2, 3, 77) (dual of [(78, 3), 48, 78]-NRT-code) | [i] | ||
| 42 | Linear OA(1676, 91, F16, 56) (dual of [91, 15, 57]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 43 | Linear OA(1675, 91, F16, 55) (dual of [91, 16, 56]-code) | [i] | ||
| 44 | Linear OA(1674, 91, F16, 54) (dual of [91, 17, 55]-code) | [i] | ||
| 45 | Linear OA(1673, 91, F16, 53) (dual of [91, 18, 54]-code) | [i] | ||
| 46 | Linear OA(1672, 91, F16, 52) (dual of [91, 19, 53]-code) | [i] | ||
| 47 | Linear OA(1671, 91, F16, 51) (dual of [91, 20, 52]-code) | [i] | ||
| 48 | Linear OA(1670, 91, F16, 50) (dual of [91, 21, 51]-code) | [i] | ||
| 49 | Linear OA(1669, 91, F16, 49) (dual of [91, 22, 50]-code) | [i] | ||
| 50 | Linear OA(1668, 91, F16, 48) (dual of [91, 23, 49]-code) | [i] | ||
| 51 | Linear OA(1667, 91, F16, 47) (dual of [91, 24, 48]-code) | [i] | ||
| 52 | Linear OA(1666, 91, F16, 46) (dual of [91, 25, 47]-code) | [i] | ||
| 53 | Linear OA(1665, 91, F16, 45) (dual of [91, 26, 46]-code) | [i] | ||
| 54 | Linear OA(1664, 91, F16, 44) (dual of [91, 27, 45]-code) | [i] | ||
| 55 | Linear OA(1663, 91, F16, 43) (dual of [91, 28, 44]-code) | [i] | ||
| 56 | Linear OA(1662, 91, F16, 42) (dual of [91, 29, 43]-code) | [i] | ||
| 57 | Linear OA(1661, 91, F16, 41) (dual of [91, 30, 42]-code) | [i] | ||
| 58 | Linear OA(1660, 91, F16, 40) (dual of [91, 31, 41]-code) | [i] | ||
| 59 | Linear OA(1659, 91, F16, 39) (dual of [91, 32, 40]-code) | [i] | ||
| 60 | Linear OA(1658, 91, F16, 38) (dual of [91, 33, 39]-code) | [i] | ||
| 61 | Linear OA(1657, 91, F16, 37) (dual of [91, 34, 38]-code) | [i] | ||
| 62 | Linear OA(1656, 91, F16, 36) (dual of [91, 35, 37]-code) | [i] | ||
| 63 | Linear OA(1655, 91, F16, 35) (dual of [91, 36, 36]-code) | [i] | ||
| 64 | Linear OA(1654, 91, F16, 34) (dual of [91, 37, 35]-code) | [i] | ||
| 65 | Linear OA(1653, 91, F16, 33) (dual of [91, 38, 34]-code) | [i] | ||
| 66 | Linear OA(1652, 91, F16, 32) (dual of [91, 39, 33]-code) | [i] | ||
| 67 | Linear OA(1651, 91, F16, 31) (dual of [91, 40, 32]-code) | [i] | ||
| 68 | Linear OA(1650, 91, F16, 30) (dual of [91, 41, 31]-code) | [i] | ||
| 69 | Linear OA(1649, 91, F16, 29) (dual of [91, 42, 30]-code) | [i] | ||
| 70 | Linear OA(1648, 91, F16, 28) (dual of [91, 43, 29]-code) | [i] | ||
| 71 | Linear OA(1647, 91, F16, 27) (dual of [91, 44, 28]-code) | [i] | ||
| 72 | Linear OA(1646, 91, F16, 26) (dual of [91, 45, 27]-code) | [i] | ||
| 73 | Linear OA(1645, 91, F16, 25) (dual of [91, 46, 26]-code) | [i] | ||
| 74 | Linear OA(1674, 90, F16, 55) (dual of [90, 16, 56]-code) | [i] | ||
| 75 | Linear OA(1673, 90, F16, 54) (dual of [90, 17, 55]-code) | [i] | ||
| 76 | Linear OA(1672, 90, F16, 53) (dual of [90, 18, 54]-code) | [i] | ||
| 77 | Linear OA(16127, 290, F16, 64) (dual of [290, 163, 65]-code) | [i] | Construction X with Cyclic Codes | |
| 78 | Linear OA(16107, 291, F16, 54) (dual of [291, 184, 55]-code) | [i] | Construction XX with Cyclic Codes | |
| 79 | Linear OA(16109, 291, F16, 55) (dual of [291, 182, 56]-code) | [i] | ||
| 80 | Linear OA(16111, 291, F16, 56) (dual of [291, 180, 57]-code) | [i] | ||
| 81 | Linear OA(16113, 291, F16, 57) (dual of [291, 178, 58]-code) | [i] | ||
| 82 | Linear OA(16115, 291, F16, 58) (dual of [291, 176, 59]-code) | [i] | ||
| 83 | Linear OA(16117, 291, F16, 59) (dual of [291, 174, 60]-code) | [i] | ||
| 84 | Linear OA(16119, 291, F16, 60) (dual of [291, 172, 61]-code) | [i] | ||
| 85 | Linear OA(16130, 290, F16, 70) (dual of [290, 160, 71]-code) | [i] | ||
| 86 | Linear OA(16129, 288, F16, 70) (dual of [288, 159, 71]-code) | [i] | ||
| 87 | Linear OA(16129, 287, F16, 70) (dual of [287, 158, 71]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 88 | Linear OA(16127, 287, F16, 69) (dual of [287, 160, 70]-code) | [i] | ||
| 89 | Linear OA(16126, 288, F16, 68) (dual of [288, 162, 69]-code) | [i] | ||
| 90 | Linear OA(16126, 289, F16, 67) (dual of [289, 163, 68]-code) | [i] | ||
| 91 | Linear OA(16118, 289, F16, 60) (dual of [289, 171, 61]-code) | [i] | ||
| 92 | Linear OA(16116, 289, F16, 59) (dual of [289, 173, 60]-code) | [i] | ||
| 93 | Linear OA(16114, 289, F16, 58) (dual of [289, 175, 59]-code) | [i] | ||
| 94 | Linear OA(16112, 289, F16, 57) (dual of [289, 177, 58]-code) | [i] | ||
| 95 | Linear OA(16110, 289, F16, 56) (dual of [289, 179, 57]-code) | [i] | ||
| 96 | Linear OA(16108, 289, F16, 55) (dual of [289, 181, 56]-code) | [i] | ||
| 97 | Linear OA(16106, 289, F16, 54) (dual of [289, 183, 55]-code) | [i] | ||
| 98 | Linear OA(16104, 289, F16, 53) (dual of [289, 185, 54]-code) | [i] | ||
| 99 | Linear OA(16102, 289, F16, 52) (dual of [289, 187, 53]-code) | [i] | ||
| 100 | Linear OA(16101, 289, F16, 51) (dual of [289, 188, 52]-code) | [i] | ||