Information on Result #622351
Linear OA(1612, 24, F16, 11) (dual of [24, 12, 12]-code), using extended algebraic-geometric code AGe(F,12P) 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(424, 48, F4, 11) (dual of [48, 24, 12]-code) | [i] | Trace Code | |
| 2 | Linear OA(1676, 4120, F16, 23) (dual of [4120, 4044, 24]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(16102, 131098, F16, 23) (dual of [131098, 130996, 24]-code) | [i] | ||
| 4 | Linear OA(16118, 1048600, F16, 23) (dual of [1048600, 1048482, 24]-code) | [i] | ||
| 5 | Linear OA(1673, 4120, F16, 22) (dual of [4120, 4047, 23]-code) | [i] | ||
| 6 | Linear OA(1698, 131096, F16, 22) (dual of [131096, 130998, 23]-code) | [i] | ||
| 7 | Linear OA(16113, 1048600, F16, 22) (dual of [1048600, 1048487, 23]-code) | [i] | ||
| 8 | Linear OA(1677, 89, F16, 59) (dual of [89, 12, 60]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(1677, 88, F16, 60) (dual of [88, 11, 61]-code) | [i] | ||
| 10 | Linear OA(1677, 87, F16, 61) (dual of [87, 10, 62]-code) | [i] | ||
| 11 | Linear OA(1677, 85, F16, 63) (dual of [85, 8, 64]-code) | [i] | ||
| 12 | Linear OA(1677, 84, F16, 64) (dual of [84, 7, 65]-code) | [i] | ||
| 13 | Linear OA(270, 110, F2, 23) (dual of [110, 40, 24]-code) | [i] | Concatenation of Two Codes | |
| 14 | Linear OA(269, 105, F2, 23) (dual of [105, 36, 24]-code) | [i] | ||
| 15 | Linear OA(268, 100, F2, 23) (dual of [100, 32, 24]-code) | [i] | ||
| 16 | Linear OA(2140, 184, F2, 47) (dual of [184, 44, 48]-code) | [i] | ||
| 17 | Linear OA(2136, 176, F2, 47) (dual of [176, 40, 48]-code) | [i] | ||
| 18 | Linear OA(2132, 168, F2, 47) (dual of [168, 36, 48]-code) | [i] | ||
| 19 | Linear OA(2128, 160, F2, 47) (dual of [160, 32, 48]-code) | [i] | ||
| 20 | Linear OA(2124, 152, F2, 47) (dual of [152, 28, 48]-code) | [i] | ||
| 21 | Linear OA(448, 72, F4, 23) (dual of [72, 24, 24]-code) | [i] | ||
| 22 | Linear OA(464, 80, F4, 35) (dual of [80, 16, 36]-code) | [i] | ||
| 23 | Linear OA(462, 76, F4, 35) (dual of [76, 14, 36]-code) | [i] | ||
| 24 | Linear OOA(296, 72, F2, 2, 35) (dual of [(72, 2), 48, 36]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 25 | Linear OOA(294, 69, F2, 2, 35) (dual of [(69, 2), 44, 36]-NRT-code) | [i] | ||
| 26 | Linear OOA(292, 66, F2, 2, 35) (dual of [(66, 2), 40, 36]-NRT-code) | [i] | ||
| 27 | Linear OOA(290, 63, F2, 2, 35) (dual of [(63, 2), 36, 36]-NRT-code) | [i] | ||
| 28 | Linear OOA(288, 60, F2, 2, 35) (dual of [(60, 2), 32, 36]-NRT-code) | [i] | ||
| 29 | Linear OOA(286, 57, F2, 2, 35) (dual of [(57, 2), 28, 36]-NRT-code) | [i] | ||
| 30 | Linear OOA(2162, 95, F2, 2, 71) (dual of [(95, 2), 28, 72]-NRT-code) | [i] | ||
| 31 | Linear OOA(2168, 72, F2, 3, 71) (dual of [(72, 3), 48, 72]-NRT-code) | [i] | ||
| 32 | Linear OOA(2163, 69, F2, 3, 71) (dual of [(69, 3), 44, 72]-NRT-code) | [i] | ||
| 33 | Linear OOA(2158, 66, F2, 3, 71) (dual of [(66, 3), 40, 72]-NRT-code) | [i] | ||
| 34 | Linear OOA(2153, 63, F2, 3, 71) (dual of [(63, 3), 36, 72]-NRT-code) | [i] | ||
| 35 | Linear OOA(2148, 60, F2, 3, 71) (dual of [(60, 3), 32, 72]-NRT-code) | [i] | ||
| 36 | Linear OOA(2143, 57, F2, 3, 71) (dual of [(57, 3), 28, 72]-NRT-code) | [i] | ||
| 37 | Linear OOA(2232, 69, F2, 4, 107) (dual of [(69, 4), 44, 108]-NRT-code) | [i] | ||
| 38 | Linear OOA(2216, 63, F2, 4, 107) (dual of [(63, 4), 36, 108]-NRT-code) | [i] | ||
| 39 | Linear OOA(2208, 60, F2, 4, 107) (dual of [(60, 4), 32, 108]-NRT-code) | [i] | ||
| 40 | Linear OOA(2200, 57, F2, 4, 107) (dual of [(57, 4), 28, 108]-NRT-code) | [i] | ||
| 41 | Linear OA(1675, 88, F16, 57) (dual of [88, 13, 58]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 42 | Linear OA(1674, 88, F16, 56) (dual of [88, 14, 57]-code) | [i] | ||
| 43 | Linear OA(1673, 88, F16, 55) (dual of [88, 15, 56]-code) | [i] | ||
| 44 | Linear OA(1672, 88, F16, 54) (dual of [88, 16, 55]-code) | [i] | ||
| 45 | Linear OA(1671, 88, F16, 53) (dual of [88, 17, 54]-code) | [i] | ||
| 46 | Linear OA(1670, 88, F16, 52) (dual of [88, 18, 53]-code) | [i] | ||
| 47 | Linear OA(1669, 88, F16, 51) (dual of [88, 19, 52]-code) | [i] | ||
| 48 | Linear OA(1668, 88, F16, 50) (dual of [88, 20, 51]-code) | [i] | ||
| 49 | Linear OA(1667, 88, F16, 49) (dual of [88, 21, 50]-code) | [i] | ||
| 50 | Linear OA(1666, 88, F16, 48) (dual of [88, 22, 49]-code) | [i] | ||
| 51 | Linear OA(1665, 88, F16, 47) (dual of [88, 23, 48]-code) | [i] | ||
| 52 | Linear OA(1664, 88, F16, 46) (dual of [88, 24, 47]-code) | [i] | ||
| 53 | Linear OA(1663, 88, F16, 45) (dual of [88, 25, 46]-code) | [i] | ||
| 54 | Linear OA(1662, 88, F16, 44) (dual of [88, 26, 45]-code) | [i] | ||
| 55 | Linear OA(1661, 88, F16, 43) (dual of [88, 27, 44]-code) | [i] | ||
| 56 | Linear OA(1660, 88, F16, 42) (dual of [88, 28, 43]-code) | [i] | ||
| 57 | Linear OA(1659, 88, F16, 41) (dual of [88, 29, 42]-code) | [i] | ||
| 58 | Linear OA(1658, 88, F16, 40) (dual of [88, 30, 41]-code) | [i] | ||
| 59 | Linear OA(1657, 88, F16, 39) (dual of [88, 31, 40]-code) | [i] | ||
| 60 | Linear OA(1656, 88, F16, 38) (dual of [88, 32, 39]-code) | [i] | ||
| 61 | Linear OA(1655, 88, F16, 37) (dual of [88, 33, 38]-code) | [i] | ||
| 62 | Linear OA(1654, 88, F16, 36) (dual of [88, 34, 37]-code) | [i] | ||
| 63 | Linear OA(1653, 88, F16, 35) (dual of [88, 35, 36]-code) | [i] | ||
| 64 | Linear OA(1652, 88, F16, 34) (dual of [88, 36, 35]-code) | [i] | ||
| 65 | Linear OA(1651, 88, F16, 33) (dual of [88, 37, 34]-code) | [i] | ||
| 66 | Linear OA(1650, 88, F16, 32) (dual of [88, 38, 33]-code) | [i] | ||
| 67 | Linear OA(1649, 88, F16, 31) (dual of [88, 39, 32]-code) | [i] | ||
| 68 | Linear OA(1648, 88, F16, 30) (dual of [88, 40, 31]-code) | [i] | ||
| 69 | Linear OA(1647, 88, F16, 29) (dual of [88, 41, 30]-code) | [i] | ||
| 70 | Linear OA(1646, 88, F16, 28) (dual of [88, 42, 29]-code) | [i] | ||
| 71 | Linear OA(1645, 88, F16, 27) (dual of [88, 43, 28]-code) | [i] | ||
| 72 | Linear OA(1644, 88, F16, 26) (dual of [88, 44, 27]-code) | [i] | ||
| 73 | Linear OA(1643, 88, F16, 25) (dual of [88, 45, 26]-code) | [i] | ||
| 74 | Linear OA(16130, 248, F16, 78) (dual of [248, 118, 79]-code) | [i] | ||
| 75 | Linear OA(1674, 85, F16, 59) (dual of [85, 11, 60]-code) | [i] | ||
| 76 | Linear OA(1673, 85, F16, 58) (dual of [85, 12, 59]-code) | [i] | ||
| 77 | Linear OA(1672, 87, F16, 55) (dual of [87, 15, 56]-code) | [i] | ||
| 78 | Linear OA(1671, 87, F16, 54) (dual of [87, 16, 55]-code) | [i] | ||
| 79 | Linear OA(1670, 87, F16, 53) (dual of [87, 17, 54]-code) | [i] | ||
| 80 | Linear OA(1676, 89, F16, 58) (dual of [89, 13, 59]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 81 | Linear OA(1674, 89, F16, 56) (dual of [89, 15, 57]-code) | [i] | ||
| 82 | Linear OA(1673, 89, F16, 55) (dual of [89, 16, 56]-code) | [i] | ||
| 83 | Linear OA(1672, 89, F16, 54) (dual of [89, 17, 55]-code) | [i] | ||
| 84 | Linear OA(1671, 89, F16, 53) (dual of [89, 18, 54]-code) | [i] | ||
| 85 | Linear OA(16125, 1048617, F16, 23) (dual of [1048617, 1048492, 24]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 86 | Linear OA(16126, 1048624, F16, 23) (dual of [1048624, 1048498, 24]-code) | [i] | ||
| 87 | Linear OA(16120, 1048617, F16, 22) (dual of [1048617, 1048497, 23]-code) | [i] | ||
| 88 | Linear OA(16129, 277, F16, 71) (dual of [277, 148, 72]-code) | [i] | Construction X with Cyclic Codes | |
| 89 | Linear OA(16125, 277, F16, 69) (dual of [277, 152, 70]-code) | [i] | ||
| 90 | Linear OA(16125, 281, F16, 67) (dual of [281, 156, 68]-code) | [i] | ||
| 91 | Linear OA(1690, 116, F16, 57) (dual of [116, 26, 58]-code) | [i] | Construction XX with Cyclic Codes | |