Information on Result #622352
Linear OA(1613, 24, F16, 12) (dual of [24, 11, 13]-code), using extended algebraic-geometric code AGe(F,11P) 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(1683, 4120, F16, 25) (dual of [4120, 4037, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(16111, 131098, F16, 25) (dual of [131098, 130987, 26]-code) | [i] | ||
| 3 | Linear OA(16129, 1048600, F16, 25) (dual of [1048600, 1048471, 26]-code) | [i] | ||
| 4 | Linear OA(1680, 4120, F16, 24) (dual of [4120, 4040, 25]-code) | [i] | ||
| 5 | Linear OA(16107, 131096, F16, 24) (dual of [131096, 130989, 25]-code) | [i] | ||
| 6 | Linear OA(16124, 1048600, F16, 24) (dual of [1048600, 1048476, 25]-code) | [i] | ||
| 7 | Linear OA(1678, 89, F16, 61) (dual of [89, 11, 62]-code) | [i] | Juxtaposition | |
| 8 | Linear OA(1678, 88, F16, 62) (dual of [88, 10, 63]-code) | [i] | ||
| 9 | Linear OA(1678, 87, F16, 63) (dual of [87, 9, 64]-code) | [i] | ||
| 10 | Linear OA(1678, 86, F16, 64) (dual of [86, 8, 65]-code) | [i] | ||
| 11 | Linear OA(1678, 85, F16, 65) (dual of [85, 7, 66]-code) | [i] | ||
| 12 | Linear OA(1677, 83, F16, 66) (dual of [83, 6, 67]-code) | [i] | ||
| 13 | Linear OA(275, 115, F2, 25) (dual of [115, 40, 26]-code) | [i] | Concatenation of Two Codes | |
| 14 | Linear OA(274, 110, F2, 25) (dual of [110, 36, 26]-code) | [i] | ||
| 15 | Linear OA(273, 105, F2, 25) (dual of [105, 32, 26]-code) | [i] | ||
| 16 | Linear OA(272, 100, F2, 25) (dual of [100, 28, 26]-code) | [i] | ||
| 17 | Linear OA(2148, 192, F2, 51) (dual of [192, 44, 52]-code) | [i] | ||
| 18 | Linear OA(2144, 184, F2, 51) (dual of [184, 40, 52]-code) | [i] | ||
| 19 | Linear OA(2140, 176, F2, 51) (dual of [176, 36, 52]-code) | [i] | ||
| 20 | Linear OA(2136, 168, F2, 51) (dual of [168, 32, 52]-code) | [i] | ||
| 21 | Linear OA(2132, 160, F2, 51) (dual of [160, 28, 52]-code) | [i] | ||
| 22 | Linear OA(2128, 152, F2, 51) (dual of [152, 24, 52]-code) | [i] | ||
| 23 | Linear OA(450, 72, F4, 25) (dual of [72, 22, 26]-code) | [i] | ||
| 24 | Linear OA(470, 88, F4, 38) (dual of [88, 18, 39]-code) | [i] | ||
| 25 | Linear OA(468, 84, F4, 38) (dual of [84, 16, 39]-code) | [i] | ||
| 26 | Linear OA(464, 76, F4, 38) (dual of [76, 12, 39]-code) | [i] | ||
| 27 | Linear OA(489, 105, F4, 51) (dual of [105, 16, 52]-code) | [i] | ||
| 28 | Linear OA(486, 100, F4, 51) (dual of [100, 14, 52]-code) | [i] | ||
| 29 | Linear OOA(2100, 72, F2, 2, 38) (dual of [(72, 2), 44, 39]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 30 | Linear OOA(298, 69, F2, 2, 38) (dual of [(69, 2), 40, 39]-NRT-code) | [i] | ||
| 31 | Linear OOA(296, 66, F2, 2, 38) (dual of [(66, 2), 36, 39]-NRT-code) | [i] | ||
| 32 | Linear OOA(294, 63, F2, 2, 38) (dual of [(63, 2), 32, 39]-NRT-code) | [i] | ||
| 33 | Linear OOA(292, 60, F2, 2, 38) (dual of [(60, 2), 28, 39]-NRT-code) | [i] | ||
| 34 | Linear OOA(290, 57, F2, 2, 38) (dual of [(57, 2), 24, 39]-NRT-code) | [i] | ||
| 35 | Linear OOA(2184, 110, F2, 2, 77) (dual of [(110, 2), 36, 78]-NRT-code) | [i] | ||
| 36 | Linear OOA(2178, 105, F2, 2, 77) (dual of [(105, 2), 32, 78]-NRT-code) | [i] | ||
| 37 | Linear OOA(2172, 100, F2, 2, 77) (dual of [(100, 2), 28, 78]-NRT-code) | [i] | ||
| 38 | Linear OOA(2172, 72, F2, 3, 77) (dual of [(72, 3), 44, 78]-NRT-code) | [i] | ||
| 39 | Linear OOA(2167, 69, F2, 3, 77) (dual of [(69, 3), 40, 78]-NRT-code) | [i] | ||
| 40 | Linear OOA(2162, 66, F2, 3, 77) (dual of [(66, 3), 36, 78]-NRT-code) | [i] | ||
| 41 | Linear OOA(2157, 63, F2, 3, 77) (dual of [(63, 3), 32, 78]-NRT-code) | [i] | ||
| 42 | Linear OOA(2152, 60, F2, 3, 77) (dual of [(60, 3), 28, 78]-NRT-code) | [i] | ||
| 43 | Linear OOA(2147, 57, F2, 3, 77) (dual of [(57, 3), 24, 78]-NRT-code) | [i] | ||
| 44 | Linear OOA(2244, 72, F2, 4, 116) (dual of [(72, 4), 44, 117]-NRT-code) | [i] | ||
| 45 | Linear OOA(2236, 69, F2, 4, 116) (dual of [(69, 4), 40, 117]-NRT-code) | [i] | ||
| 46 | Linear OOA(2220, 63, F2, 4, 116) (dual of [(63, 4), 32, 117]-NRT-code) | [i] | ||
| 47 | Linear OOA(2212, 60, F2, 4, 116) (dual of [(60, 4), 28, 117]-NRT-code) | [i] | ||
| 48 | Linear OOA(2204, 57, F2, 4, 116) (dual of [(57, 4), 24, 117]-NRT-code) | [i] | ||
| 49 | Linear OA(1676, 84, F16, 63) (dual of [84, 8, 64]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 50 | Linear OA(1676, 88, F16, 59) (dual of [88, 12, 60]-code) | [i] | ||
| 51 | Linear OA(1675, 87, F16, 59) (dual of [87, 12, 60]-code) | [i] | ||
| 52 | Linear OA(1674, 87, F16, 58) (dual of [87, 13, 59]-code) | [i] | ||
| 53 | Linear OA(1674, 88, F16, 57) (dual of [88, 14, 58]-code) | [i] | ||
| 54 | Linear OA(1677, 89, F16, 60) (dual of [89, 12, 61]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 55 | Linear OA(1676, 89, F16, 59) (dual of [89, 13, 60]-code) | [i] | ||
| 56 | Linear OA(1675, 89, F16, 58) (dual of [89, 14, 59]-code) | [i] | ||
| 57 | Linear OA(16130, 281, F16, 70) (dual of [281, 151, 71]-code) | [i] | Construction X with Cyclic Codes | |
| 58 | Linear OA(16126, 281, F16, 68) (dual of [281, 155, 69]-code) | [i] | ||