Information on Result #622369
Linear OA(1616, 33, F16, 14) (dual of [33, 17, 15]-code), using extended algebraic-geometric code AGe(F,18P) 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(432, 66, F4, 14) (dual of [66, 34, 15]-code) | [i] | Trace Code | |
| 2 | Linear OA(1651, 98, F16, 29) (dual of [98, 47, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(1698, 4129, F16, 29) (dual of [4129, 4031, 30]-code) | [i] | ||
| 4 | Linear OA(16130, 131107, F16, 29) (dual of [131107, 130977, 30]-code) | [i] | ||
| 5 | Linear OA(1650, 98, F16, 28) (dual of [98, 48, 29]-code) | [i] | ||
| 6 | Linear OA(1695, 4129, F16, 28) (dual of [4129, 4034, 29]-code) | [i] | ||
| 7 | Linear OA(16126, 131105, F16, 28) (dual of [131105, 130979, 29]-code) | [i] | ||
| 8 | Linear OA(1681, 98, F16, 57) (dual of [98, 17, 58]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(1681, 97, F16, 58) (dual of [97, 16, 59]-code) | [i] | ||
| 10 | Linear OA(1681, 96, F16, 59) (dual of [96, 15, 60]-code) | [i] | ||
| 11 | Linear OA(1681, 95, F16, 60) (dual of [95, 14, 61]-code) | [i] | ||
| 12 | Linear OA(1681, 94, F16, 61) (dual of [94, 13, 62]-code) | [i] | ||
| 13 | Linear OA(1681, 93, F16, 62) (dual of [93, 12, 63]-code) | [i] | ||
| 14 | Linear OA(1681, 92, F16, 63) (dual of [92, 11, 64]-code) | [i] | ||
| 15 | Linear OA(1681, 91, F16, 64) (dual of [91, 10, 65]-code) | [i] | ||
| 16 | Linear OA(297, 165, F2, 29) (dual of [165, 68, 30]-code) | [i] | Concatenation of Two Codes | |
| 17 | Linear OA(296, 160, F2, 29) (dual of [160, 64, 30]-code) | [i] | ||
| 18 | Linear OA(295, 155, F2, 29) (dual of [155, 60, 30]-code) | [i] | ||
| 19 | Linear OA(294, 150, F2, 29) (dual of [150, 56, 30]-code) | [i] | ||
| 20 | Linear OA(293, 145, F2, 29) (dual of [145, 52, 30]-code) | [i] | ||
| 21 | Linear OA(292, 140, F2, 29) (dual of [140, 48, 30]-code) | [i] | ||
| 22 | Linear OA(291, 135, F2, 29) (dual of [135, 44, 30]-code) | [i] | ||
| 23 | Linear OA(2180, 232, F2, 59) (dual of [232, 52, 60]-code) | [i] | ||
| 24 | Linear OA(2176, 224, F2, 59) (dual of [224, 48, 60]-code) | [i] | ||
| 25 | Linear OA(2172, 216, F2, 59) (dual of [216, 44, 60]-code) | [i] | ||
| 26 | Linear OA(2168, 208, F2, 59) (dual of [208, 40, 60]-code) | [i] | ||
| 27 | Linear OA(465, 99, F4, 29) (dual of [99, 34, 30]-code) | [i] | ||
| 28 | Linear OA(464, 96, F4, 29) (dual of [96, 32, 30]-code) | [i] | ||
| 29 | Linear OA(463, 93, F4, 29) (dual of [93, 30, 30]-code) | [i] | ||
| 30 | Linear OA(462, 90, F4, 29) (dual of [90, 28, 30]-code) | [i] | ||
| 31 | Linear OOA(2130, 99, F2, 2, 44) (dual of [(99, 2), 68, 45]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 32 | Linear OOA(2128, 96, F2, 2, 44) (dual of [(96, 2), 64, 45]-NRT-code) | [i] | ||
| 33 | Linear OOA(2126, 93, F2, 2, 44) (dual of [(93, 2), 60, 45]-NRT-code) | [i] | ||
| 34 | Linear OOA(2124, 90, F2, 2, 44) (dual of [(90, 2), 56, 45]-NRT-code) | [i] | ||
| 35 | Linear OOA(2122, 87, F2, 2, 44) (dual of [(87, 2), 52, 45]-NRT-code) | [i] | ||
| 36 | Linear OOA(2120, 84, F2, 2, 44) (dual of [(84, 2), 48, 45]-NRT-code) | [i] | ||
| 37 | Linear OOA(2118, 81, F2, 2, 44) (dual of [(81, 2), 44, 45]-NRT-code) | [i] | ||
| 38 | Linear OOA(2116, 78, F2, 2, 44) (dual of [(78, 2), 40, 45]-NRT-code) | [i] | ||
| 39 | Linear OOA(2229, 99, F2, 3, 89) (dual of [(99, 3), 68, 90]-NRT-code) | [i] | ||
| 40 | Linear OOA(2224, 96, F2, 3, 89) (dual of [(96, 3), 64, 90]-NRT-code) | [i] | ||
| 41 | Linear OOA(2219, 93, F2, 3, 89) (dual of [(93, 3), 60, 90]-NRT-code) | [i] | ||
| 42 | Linear OOA(2214, 90, F2, 3, 89) (dual of [(90, 3), 56, 90]-NRT-code) | [i] | ||
| 43 | Linear OOA(2209, 87, F2, 3, 89) (dual of [(87, 3), 52, 90]-NRT-code) | [i] | ||
| 44 | Linear OOA(2204, 84, F2, 3, 89) (dual of [(84, 3), 48, 90]-NRT-code) | [i] | ||
| 45 | Linear OOA(2199, 81, F2, 3, 89) (dual of [(81, 3), 44, 90]-NRT-code) | [i] | ||
| 46 | Linear OOA(2194, 78, F2, 3, 89) (dual of [(78, 3), 40, 90]-NRT-code) | [i] | ||
| 47 | Linear OA(1678, 95, F16, 56) (dual of [95, 17, 57]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 48 | Linear OA(1677, 95, F16, 55) (dual of [95, 18, 56]-code) | [i] | ||
| 49 | Linear OA(1676, 95, F16, 54) (dual of [95, 19, 55]-code) | [i] | ||
| 50 | Linear OA(1675, 95, F16, 53) (dual of [95, 20, 54]-code) | [i] | ||
| 51 | Linear OA(1674, 95, F16, 52) (dual of [95, 21, 53]-code) | [i] | ||
| 52 | Linear OA(1673, 95, F16, 51) (dual of [95, 22, 52]-code) | [i] | ||
| 53 | Linear OA(1672, 95, F16, 50) (dual of [95, 23, 51]-code) | [i] | ||
| 54 | Linear OA(1671, 95, F16, 49) (dual of [95, 24, 50]-code) | [i] | ||
| 55 | Linear OA(1670, 95, F16, 48) (dual of [95, 25, 49]-code) | [i] | ||
| 56 | Linear OA(1669, 95, F16, 47) (dual of [95, 26, 48]-code) | [i] | ||
| 57 | Linear OA(1668, 95, F16, 46) (dual of [95, 27, 47]-code) | [i] | ||
| 58 | Linear OA(1667, 95, F16, 45) (dual of [95, 28, 46]-code) | [i] | ||
| 59 | Linear OA(1666, 95, F16, 44) (dual of [95, 29, 45]-code) | [i] | ||
| 60 | Linear OA(1665, 95, F16, 43) (dual of [95, 30, 44]-code) | [i] | ||
| 61 | Linear OA(1664, 95, F16, 42) (dual of [95, 31, 43]-code) | [i] | ||
| 62 | Linear OA(1663, 95, F16, 41) (dual of [95, 32, 42]-code) | [i] | ||
| 63 | Linear OA(1662, 95, F16, 40) (dual of [95, 33, 41]-code) | [i] | ||
| 64 | Linear OA(1661, 95, F16, 39) (dual of [95, 34, 40]-code) | [i] | ||
| 65 | Linear OA(1660, 95, F16, 38) (dual of [95, 35, 39]-code) | [i] | ||
| 66 | Linear OA(1659, 95, F16, 37) (dual of [95, 36, 38]-code) | [i] | ||
| 67 | Linear OA(1658, 95, F16, 36) (dual of [95, 37, 37]-code) | [i] | ||
| 68 | Linear OA(1657, 95, F16, 35) (dual of [95, 38, 36]-code) | [i] | ||
| 69 | Linear OA(1656, 95, F16, 34) (dual of [95, 39, 35]-code) | [i] | ||
| 70 | Linear OA(1655, 95, F16, 33) (dual of [95, 40, 34]-code) | [i] | ||
| 71 | Linear OA(1654, 95, F16, 32) (dual of [95, 41, 33]-code) | [i] | ||
| 72 | Linear OA(1653, 95, F16, 31) (dual of [95, 42, 32]-code) | [i] | ||
| 73 | Linear OA(1652, 95, F16, 30) (dual of [95, 43, 31]-code) | [i] | ||
| 74 | Linear OA(1651, 95, F16, 29) (dual of [95, 44, 30]-code) | [i] | ||
| 75 | Linear OA(1650, 95, F16, 28) (dual of [95, 45, 29]-code) | [i] | ||
| 76 | Linear OA(1649, 95, F16, 27) (dual of [95, 46, 28]-code) | [i] | ||
| 77 | Linear OA(1678, 92, F16, 59) (dual of [92, 14, 60]-code) | [i] | ||
| 78 | Linear OA(1677, 92, F16, 58) (dual of [92, 15, 59]-code) | [i] | ||
| 79 | Linear OA(1676, 94, F16, 55) (dual of [94, 18, 56]-code) | [i] | ||
| 80 | Linear OA(1675, 94, F16, 54) (dual of [94, 19, 55]-code) | [i] | ||
| 81 | Linear OA(1674, 94, F16, 53) (dual of [94, 20, 54]-code) | [i] | ||
| 82 | Linear OA(16129, 290, F16, 66) (dual of [290, 161, 67]-code) | [i] | Construction X with Cyclic Codes | |
| 83 | Linear OA(1685, 116, F16, 51) (dual of [116, 31, 52]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |