Information on Result #622353
Linear OA(1614, 24, F16, 13) (dual of [24, 10, 14]-code), using extended algebraic-geometric code AGe(F,10P) 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(1698, 105, F16, 69) (dual of [105, 7, 70]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16119, 126, F16, 83) (dual of [126, 7, 84]-code) | [i] | ||
| 3 | Linear OA(16128, 133, F16, 97) (dual of [133, 5, 98]-code) | [i] | ||
| 4 | Linear OA(1690, 4120, F16, 27) (dual of [4120, 4030, 28]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(16120, 131098, F16, 27) (dual of [131098, 130978, 28]-code) | [i] | ||
| 6 | Linear OA(1687, 4120, F16, 26) (dual of [4120, 4033, 27]-code) | [i] | ||
| 7 | Linear OA(16116, 131096, F16, 26) (dual of [131096, 130980, 27]-code) | [i] | ||
| 8 | Linear OA(1679, 89, F16, 63) (dual of [89, 10, 64]-code) | [i] | Juxtaposition | |
| 9 | Linear OA(1679, 88, F16, 64) (dual of [88, 9, 65]-code) | [i] | ||
| 10 | Linear OA(1679, 87, F16, 65) (dual of [87, 8, 66]-code) | [i] | ||
| 11 | Linear OA(1679, 86, F16, 66) (dual of [86, 7, 67]-code) | [i] | ||
| 12 | Linear OA(1678, 84, F16, 67) (dual of [84, 6, 68]-code) | [i] | ||
| 13 | Linear OA(1678, 83, F16, 68) (dual of [83, 5, 69]-code) | [i] | ||
| 14 | Linear OA(277, 105, F2, 27) (dual of [105, 28, 28]-code) | [i] | Concatenation of Two Codes | |
| 15 | Linear OA(2152, 192, F2, 55) (dual of [192, 40, 56]-code) | [i] | ||
| 16 | Linear OA(2148, 184, F2, 55) (dual of [184, 36, 56]-code) | [i] | ||
| 17 | Linear OA(2144, 176, F2, 55) (dual of [176, 32, 56]-code) | [i] | ||
| 18 | Linear OA(2140, 168, F2, 55) (dual of [168, 28, 56]-code) | [i] | ||
| 19 | Linear OA(2136, 160, F2, 55) (dual of [160, 24, 56]-code) | [i] | ||
| 20 | Linear OA(452, 72, F4, 27) (dual of [72, 20, 28]-code) | [i] | ||
| 21 | Linear OA(451, 69, F4, 27) (dual of [69, 18, 28]-code) | [i] | ||
| 22 | Linear OA(474, 92, F4, 41) (dual of [92, 18, 42]-code) | [i] | ||
| 23 | Linear OA(472, 88, F4, 41) (dual of [88, 16, 42]-code) | [i] | ||
| 24 | Linear OA(468, 80, F4, 41) (dual of [80, 12, 42]-code) | [i] | ||
| 25 | Linear OA(466, 76, F4, 41) (dual of [76, 10, 42]-code) | [i] | ||
| 26 | Linear OA(494, 110, F4, 55) (dual of [110, 16, 56]-code) | [i] | ||
| 27 | Linear OA(491, 105, F4, 55) (dual of [105, 14, 56]-code) | [i] | ||
| 28 | Linear OA(488, 100, F4, 55) (dual of [100, 12, 56]-code) | [i] | ||
| 29 | Linear OOA(2104, 72, F2, 2, 41) (dual of [(72, 2), 40, 42]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 30 | Linear OOA(2102, 69, F2, 2, 41) (dual of [(69, 2), 36, 42]-NRT-code) | [i] | ||
| 31 | Linear OOA(2100, 66, F2, 2, 41) (dual of [(66, 2), 32, 42]-NRT-code) | [i] | ||
| 32 | Linear OOA(296, 60, F2, 2, 41) (dual of [(60, 2), 24, 42]-NRT-code) | [i] | ||
| 33 | Linear OOA(294, 57, F2, 2, 41) (dual of [(57, 2), 20, 42]-NRT-code) | [i] | ||
| 34 | Linear OOA(2200, 120, F2, 2, 83) (dual of [(120, 2), 40, 84]-NRT-code) | [i] | ||
| 35 | Linear OOA(2194, 115, F2, 2, 83) (dual of [(115, 2), 36, 84]-NRT-code) | [i] | ||
| 36 | Linear OOA(2188, 110, F2, 2, 83) (dual of [(110, 2), 32, 84]-NRT-code) | [i] | ||
| 37 | Linear OOA(2182, 105, F2, 2, 83) (dual of [(105, 2), 28, 84]-NRT-code) | [i] | ||
| 38 | Linear OOA(2176, 100, F2, 2, 83) (dual of [(100, 2), 24, 84]-NRT-code) | [i] | ||
| 39 | Linear OOA(2170, 95, F2, 2, 83) (dual of [(95, 2), 20, 84]-NRT-code) | [i] | ||
| 40 | Linear OOA(294, 38, F2, 3, 41) (dual of [(38, 3), 20, 42]-NRT-code) | [i] | ||
| 41 | Linear OOA(2176, 72, F2, 3, 83) (dual of [(72, 3), 40, 84]-NRT-code) | [i] | ||
| 42 | Linear OOA(2171, 69, F2, 3, 83) (dual of [(69, 3), 36, 84]-NRT-code) | [i] | ||
| 43 | Linear OOA(2166, 66, F2, 3, 83) (dual of [(66, 3), 32, 84]-NRT-code) | [i] | ||
| 44 | Linear OOA(2161, 63, F2, 3, 83) (dual of [(63, 3), 28, 84]-NRT-code) | [i] | ||
| 45 | Linear OOA(2156, 60, F2, 3, 83) (dual of [(60, 3), 24, 84]-NRT-code) | [i] | ||
| 46 | Linear OOA(2151, 57, F2, 3, 83) (dual of [(57, 3), 20, 84]-NRT-code) | [i] | ||
| 47 | Linear OOA(2248, 72, F2, 4, 125) (dual of [(72, 4), 40, 126]-NRT-code) | [i] | ||
| 48 | Linear OOA(2240, 69, F2, 4, 125) (dual of [(69, 4), 36, 126]-NRT-code) | [i] | ||
| 49 | Linear OOA(2224, 63, F2, 4, 125) (dual of [(63, 4), 28, 126]-NRT-code) | [i] | ||
| 50 | Linear OOA(2216, 60, F2, 4, 125) (dual of [(60, 4), 24, 126]-NRT-code) | [i] | ||
| 51 | Linear OOA(2208, 57, F2, 4, 125) (dual of [(57, 4), 20, 126]-NRT-code) | [i] | ||
| 52 | Linear OA(1677, 86, F16, 63) (dual of [86, 9, 64]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 53 | Linear OA(1677, 88, F16, 61) (dual of [88, 11, 62]-code) | [i] | ||
| 54 | Linear OA(1678, 89, F16, 62) (dual of [89, 11, 63]-code) | [i] | Construction XX with a Chain of Algebraic-Geometric Codes | |
| 55 | Linear OA(16127, 281, F16, 69) (dual of [281, 154, 70]-code) | [i] | Construction X with Cyclic Codes | |