Information on Result #622972
Linear OA(2722, 38, F27, 21) (dual of [38, 16, 22]-code), using extended algebraic-geometric code AGe(F,16P) based on function field F/F27 with g(F) = 1 and N(F) ≥ 38, 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(27104, 767, F27, 43) (dual of [767, 663, 44]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(27102, 767, F27, 42) (dual of [767, 665, 43]-code) | [i] | ||
| 3 | Linear OA(2798, 114, F27, 76) (dual of [114, 16, 77]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(2798, 113, F27, 77) (dual of [113, 15, 78]-code) | [i] | ||
| 5 | Linear OA(2798, 112, F27, 78) (dual of [112, 14, 79]-code) | [i] | ||
| 6 | Linear OA(3104, 152, F3, 43) (dual of [152, 48, 44]-code) | [i] | Concatenation of Two Codes | |
| 7 | Linear OA(3103, 148, F3, 43) (dual of [148, 45, 44]-code) | [i] | ||
| 8 | Linear OA(3102, 144, F3, 43) (dual of [144, 42, 44]-code) | [i] | ||
| 9 | Linear OA(3101, 140, F3, 43) (dual of [140, 39, 44]-code) | [i] | ||
| 10 | Linear OA(3100, 136, F3, 43) (dual of [136, 36, 44]-code) | [i] | ||
| 11 | Linear OA(399, 132, F3, 43) (dual of [132, 33, 44]-code) | [i] | ||
| 12 | Linear OA(398, 128, F3, 43) (dual of [128, 30, 44]-code) | [i] | ||
| 13 | Linear OA(397, 124, F3, 43) (dual of [124, 27, 44]-code) | [i] | ||
| 14 | Linear OA(3198, 231, F3, 87) (dual of [231, 33, 88]-code) | [i] | ||
| 15 | Linear OA(3246, 288, F3, 109) (dual of [288, 42, 110]-code) | [i] | ||
| 16 | Linear OA(3241, 280, F3, 109) (dual of [280, 39, 110]-code) | [i] | ||
| 17 | Linear OA(3236, 272, F3, 109) (dual of [272, 36, 110]-code) | [i] | ||
| 18 | Linear OA(3231, 264, F3, 109) (dual of [264, 33, 110]-code) | [i] | ||
| 19 | Linear OA(3246, 270, F3, 131) (dual of [270, 24, 132]-code) | [i] | ||
| 20 | Linear OOA(3180, 114, F3, 2, 87) (dual of [(114, 2), 48, 88]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 21 | Linear OOA(3177, 111, F3, 2, 87) (dual of [(111, 2), 45, 88]-NRT-code) | [i] | ||
| 22 | Linear OOA(3174, 108, F3, 2, 87) (dual of [(108, 2), 42, 88]-NRT-code) | [i] | ||
| 23 | Linear OOA(3171, 105, F3, 2, 87) (dual of [(105, 2), 39, 88]-NRT-code) | [i] | ||
| 24 | Linear OOA(3168, 102, F3, 2, 87) (dual of [(102, 2), 36, 88]-NRT-code) | [i] | ||
| 25 | Linear OOA(3165, 99, F3, 2, 87) (dual of [(99, 2), 33, 88]-NRT-code) | [i] | ||
| 26 | Linear OOA(3162, 96, F3, 2, 87) (dual of [(96, 2), 30, 88]-NRT-code) | [i] | ||
| 27 | Linear OOA(3159, 93, F3, 2, 87) (dual of [(93, 2), 27, 88]-NRT-code) | [i] | ||
| 28 | Linear OOA(3156, 90, F3, 2, 87) (dual of [(90, 2), 24, 88]-NRT-code) | [i] | ||
| 29 | Linear OOA(3241, 140, F3, 2, 131) (dual of [(140, 2), 39, 132]-NRT-code) | [i] | ||
| 30 | Linear OOA(3236, 136, F3, 2, 131) (dual of [(136, 2), 36, 132]-NRT-code) | [i] | ||
| 31 | Linear OOA(3231, 132, F3, 2, 131) (dual of [(132, 2), 33, 132]-NRT-code) | [i] | ||
| 32 | Linear OOA(3226, 128, F3, 2, 131) (dual of [(128, 2), 30, 132]-NRT-code) | [i] | ||
| 33 | Linear OOA(3221, 124, F3, 2, 131) (dual of [(124, 2), 27, 132]-NRT-code) | [i] | ||
| 34 | Linear OOA(3216, 120, F3, 2, 131) (dual of [(120, 2), 24, 132]-NRT-code) | [i] | ||
| 35 | Linear OOA(3246, 90, F3, 3, 153) (dual of [(90, 3), 24, 154]-NRT-code) | [i] | ||
| 36 | Linear OA(2796, 113, F27, 74) (dual of [113, 17, 75]-code) | [i] | Construction X with Algebraic-Geometric Codes | |
| 37 | Linear OA(27102, 118, F27, 80) (dual of [118, 16, 81]-code) | [i] | ||
| 38 | Linear OA(27102, 119, F27, 79) (dual of [119, 17, 80]-code) | [i] | ||