Information on Result #622371
Linear OA(1618, 33, F16, 16) (dual of [33, 15, 17]-code), using extended algebraic-geometric code AGe(F,16P) 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(1696, 104, F16, 67) (dual of [104, 8, 68]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(16122, 130, F16, 84) (dual of [130, 8, 85]-code) | [i] | ||
| 3 | Linear OA(436, 66, F4, 16) (dual of [66, 30, 17]-code) | [i] | Trace Code | |
| 4 | Linear OA(16109, 4130, F16, 33) (dual of [4130, 4021, 34]-code) | [i] | (u, u+v)-Construction | |
| 5 | Linear OA(1683, 98, F16, 61) (dual of [98, 15, 62]-code) | [i] | Juxtaposition | |
| 6 | Linear OA(1683, 97, F16, 62) (dual of [97, 14, 63]-code) | [i] | ||
| 7 | Linear OA(1683, 96, F16, 63) (dual of [96, 13, 64]-code) | [i] | ||
| 8 | Linear OA(1683, 95, F16, 64) (dual of [95, 12, 65]-code) | [i] | ||
| 9 | Linear OA(1683, 94, F16, 65) (dual of [94, 11, 66]-code) | [i] | ||
| 10 | Linear OA(1683, 93, F16, 66) (dual of [93, 10, 67]-code) | [i] | ||
| 11 | Linear OA(1683, 92, F16, 67) (dual of [92, 9, 68]-code) | [i] | ||
| 12 | Linear OA(1683, 91, F16, 68) (dual of [91, 8, 69]-code) | [i] | ||
| 13 | Linear OA(2105, 165, F2, 33) (dual of [165, 60, 34]-code) | [i] | Concatenation of Two Codes | |
| 14 | Linear OA(2104, 160, F2, 33) (dual of [160, 56, 34]-code) | [i] | ||
| 15 | Linear OA(2103, 155, F2, 33) (dual of [155, 52, 34]-code) | [i] | ||
| 16 | Linear OA(2102, 150, F2, 33) (dual of [150, 48, 34]-code) | [i] | ||
| 17 | Linear OA(2101, 145, F2, 33) (dual of [145, 44, 34]-code) | [i] | ||
| 18 | Linear OA(2100, 140, F2, 33) (dual of [140, 40, 34]-code) | [i] | ||
| 19 | Linear OA(299, 135, F2, 33) (dual of [135, 36, 34]-code) | [i] | ||
| 20 | Linear OA(298, 130, F2, 33) (dual of [130, 32, 34]-code) | [i] | ||
| 21 | Linear OA(2204, 264, F2, 67) (dual of [264, 60, 68]-code) | [i] | ||
| 22 | Linear OA(2200, 256, F2, 67) (dual of [256, 56, 68]-code) | [i] | ||
| 23 | Linear OA(2196, 248, F2, 67) (dual of [248, 52, 68]-code) | [i] | ||
| 24 | Linear OA(2192, 240, F2, 67) (dual of [240, 48, 68]-code) | [i] | ||
| 25 | Linear OA(2188, 232, F2, 67) (dual of [232, 44, 68]-code) | [i] | ||
| 26 | Linear OA(2184, 224, F2, 67) (dual of [224, 40, 68]-code) | [i] | ||
| 27 | Linear OA(2180, 216, F2, 67) (dual of [216, 36, 68]-code) | [i] | ||
| 28 | Linear OA(2176, 208, F2, 67) (dual of [208, 32, 68]-code) | [i] | ||
| 29 | Linear OA(469, 99, F4, 33) (dual of [99, 30, 34]-code) | [i] | ||
| 30 | Linear OA(468, 96, F4, 33) (dual of [96, 28, 34]-code) | [i] | ||
| 31 | Linear OA(467, 93, F4, 33) (dual of [93, 26, 34]-code) | [i] | ||
| 32 | Linear OA(466, 90, F4, 33) (dual of [90, 24, 34]-code) | [i] | ||
| 33 | Linear OA(465, 87, F4, 33) (dual of [87, 22, 34]-code) | [i] | ||
| 34 | Linear OA(464, 84, F4, 33) (dual of [84, 20, 34]-code) | [i] | ||
| 35 | Linear OA(463, 81, F4, 33) (dual of [81, 18, 34]-code) | [i] | ||
| 36 | Linear OA(462, 78, F4, 33) (dual of [78, 16, 34]-code) | [i] | ||
| 37 | Linear OA(498, 124, F4, 50) (dual of [124, 26, 51]-code) | [i] | ||
| 38 | Linear OA(496, 120, F4, 50) (dual of [120, 24, 51]-code) | [i] | ||
| 39 | Linear OA(494, 116, F4, 50) (dual of [116, 22, 51]-code) | [i] | ||
| 40 | Linear OA(492, 112, F4, 50) (dual of [112, 20, 51]-code) | [i] | ||
| 41 | Linear OA(490, 108, F4, 50) (dual of [108, 18, 51]-code) | [i] | ||
| 42 | Linear OA(488, 104, F4, 50) (dual of [104, 16, 51]-code) | [i] | ||
| 43 | Linear OOA(2138, 99, F2, 2, 50) (dual of [(99, 2), 60, 51]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 44 | Linear OOA(2136, 96, F2, 2, 50) (dual of [(96, 2), 56, 51]-NRT-code) | [i] | ||
| 45 | Linear OOA(2134, 93, F2, 2, 50) (dual of [(93, 2), 52, 51]-NRT-code) | [i] | ||
| 46 | Linear OOA(2132, 90, F2, 2, 50) (dual of [(90, 2), 48, 51]-NRT-code) | [i] | ||
| 47 | Linear OOA(2130, 87, F2, 2, 50) (dual of [(87, 2), 44, 51]-NRT-code) | [i] | ||
| 48 | Linear OOA(2128, 84, F2, 2, 50) (dual of [(84, 2), 40, 51]-NRT-code) | [i] | ||
| 49 | Linear OOA(2126, 81, F2, 2, 50) (dual of [(81, 2), 36, 51]-NRT-code) | [i] | ||
| 50 | Linear OOA(2124, 78, F2, 2, 50) (dual of [(78, 2), 32, 51]-NRT-code) | [i] | ||
| 51 | Linear OOA(2258, 155, F2, 2, 101) (dual of [(155, 2), 52, 102]-NRT-code) | [i] | ||
| 52 | Linear OOA(2252, 150, F2, 2, 101) (dual of [(150, 2), 48, 102]-NRT-code) | [i] | ||
| 53 | Linear OOA(2246, 145, F2, 2, 101) (dual of [(145, 2), 44, 102]-NRT-code) | [i] | ||
| 54 | Linear OOA(2240, 140, F2, 2, 101) (dual of [(140, 2), 40, 102]-NRT-code) | [i] | ||
| 55 | Linear OOA(2234, 135, F2, 2, 101) (dual of [(135, 2), 36, 102]-NRT-code) | [i] | ||
| 56 | Linear OOA(2228, 130, F2, 2, 101) (dual of [(130, 2), 32, 102]-NRT-code) | [i] | ||
| 57 | Linear OOA(2237, 99, F2, 3, 101) (dual of [(99, 3), 60, 102]-NRT-code) | [i] | ||
| 58 | Linear OOA(2232, 96, F2, 3, 101) (dual of [(96, 3), 56, 102]-NRT-code) | [i] | ||
| 59 | Linear OOA(2227, 93, F2, 3, 101) (dual of [(93, 3), 52, 102]-NRT-code) | [i] | ||
| 60 | Linear OOA(2222, 90, F2, 3, 101) (dual of [(90, 3), 48, 102]-NRT-code) | [i] | ||
| 61 | Linear OOA(2217, 87, F2, 3, 101) (dual of [(87, 3), 44, 102]-NRT-code) | [i] | ||
| 62 | Linear OOA(2212, 84, F2, 3, 101) (dual of [(84, 3), 40, 102]-NRT-code) | [i] | ||
| 63 | Linear OOA(2207, 81, F2, 3, 101) (dual of [(81, 3), 36, 102]-NRT-code) | [i] | ||
| 64 | Linear OOA(2202, 78, F2, 3, 101) (dual of [(78, 3), 32, 102]-NRT-code) | [i] | ||
| 65 | Linear OOA(2196, 62, F2, 4, 84) (dual of [(62, 4), 52, 85]-NRT-code) | [i] | ||
| 66 | Linear OOA(2192, 60, F2, 4, 84) (dual of [(60, 4), 48, 85]-NRT-code) | [i] | ||
| 67 | Linear OOA(2188, 58, F2, 4, 84) (dual of [(58, 4), 44, 85]-NRT-code) | [i] | ||
| 68 | Linear OA(1681, 93, F16, 63) (dual of [93, 12, 64]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 69 | Linear OA(1681, 97, F16, 59) (dual of [97, 16, 60]-code) | [i] | ||
| 70 | Linear OA(1680, 96, F16, 59) (dual of [96, 16, 60]-code) | [i] | ||
| 71 | Linear OA(1679, 96, F16, 58) (dual of [96, 17, 59]-code) | [i] | ||
| 72 | Linear OA(1679, 97, F16, 57) (dual of [97, 18, 58]-code) | [i] | ||
| 73 | Linear OA(1691, 118, F16, 57) (dual of [118, 27, 58]-code) | [i] | Construction X with Cyclic Codes | |