Information on Result #622229
Linear OA(911, 16, F9, 10) (dual of [16, 5, 11]-code), using extended algebraic-geometric code AGe(F,5P) based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, 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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(943, 48, F9, 32) (dual of [48, 5, 33]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(9116, 120, F9, 87) (dual of [120, 4, 88]-code) | [i] | ||
| 3 | Linear OA(966, 746, F9, 21) (dual of [746, 680, 22]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(9102, 59066, F9, 21) (dual of [59066, 58964, 22]-code) | [i] | ||
| 5 | Linear OA(9120, 531458, F9, 21) (dual of [531458, 531338, 22]-code) | [i] | ||
| 6 | Linear OA(9138, 4782986, F9, 21) (dual of [4782986, 4782848, 22]-code) | [i] | ||
| 7 | Linear OA(963, 745, F9, 20) (dual of [745, 682, 21]-code) | [i] | ||
| 8 | Linear OA(997, 59065, F9, 20) (dual of [59065, 58968, 21]-code) | [i] | ||
| 9 | Linear OA(9114, 531457, F9, 20) (dual of [531457, 531343, 21]-code) | [i] | ||
| 10 | Linear OA(9131, 4782985, F9, 20) (dual of [4782985, 4782854, 21]-code) | [i] | ||
| 11 | Linear OA(9132, 144, F9, 95) (dual of [144, 12, 96]-code) | [i] | Generalized (u, u+v)-Construction | |
| 12 | Linear OA(9117, 128, F9, 83) (dual of [128, 11, 84]-code) | [i] | ||
| 13 | Linear OA(9113, 128, F9, 76) (dual of [128, 15, 77]-code) | [i] | ||
| 14 | Linear OA(941, 46, F9, 32) (dual of [46, 5, 33]-code) | [i] | Juxtaposition | |
| 15 | Linear OA(953, 58, F9, 42) (dual of [58, 5, 43]-code) | [i] | ||
| 16 | Linear OA(9101, 106, F9, 82) (dual of [106, 5, 83]-code) | [i] | ||
| 17 | Linear OA(9112, 117, F9, 91) (dual of [117, 5, 92]-code) | [i] | ||
| 18 | Linear OA(993, 97, F9, 82) (dual of [97, 4, 83]-code) | [i] | ||
| 19 | Linear OA(9103, 107, F9, 89) (dual of [107, 4, 90]-code) | [i] | ||
| 20 | Linear OA(9107, 111, F9, 92) (dual of [111, 4, 93]-code) | [i] | ||
| 21 | Linear OA(9108, 112, F9, 93) (dual of [112, 4, 94]-code) | [i] | ||
| 22 | Linear OA(9132, 137, F9, 111) (dual of [137, 5, 112]-code) | [i] | ||
| 23 | Linear OA(9143, 148, F9, 120) (dual of [148, 5, 121]-code) | [i] | ||
| 24 | Linear OA(9138, 143, F9, 117) (dual of [143, 5, 118]-code) | [i] | ||
| 25 | Linear OA(9141, 146, F9, 119) (dual of [146, 5, 120]-code) | [i] | ||
| 26 | Linear OA(354, 64, F3, 32) (dual of [64, 10, 33]-code) | [i] | Concatenation of Two Codes | |
| 27 | Linear OA(352, 60, F3, 32) (dual of [60, 8, 33]-code) | [i] | ||
| 28 | Linear OOA(386, 48, F3, 2, 54) (dual of [(48, 2), 10, 55]-NRT-code) | [i] | Concatenation of Two NRT-Codes | |
| 29 | Linear OOA(382, 45, F3, 2, 54) (dual of [(45, 2), 8, 55]-NRT-code) | [i] | ||
| 30 | Linear OOA(378, 42, F3, 2, 54) (dual of [(42, 2), 6, 55]-NRT-code) | [i] | ||
| 31 | Linear OOA(3118, 64, F3, 2, 76) (dual of [(64, 2), 10, 77]-NRT-code) | [i] | ||
| 32 | Linear OOA(3112, 60, F3, 2, 76) (dual of [(60, 2), 8, 77]-NRT-code) | [i] | ||
| 33 | Linear OOA(3106, 56, F3, 2, 76) (dual of [(56, 2), 6, 77]-NRT-code) | [i] | ||
| 34 | Linear OOA(3100, 52, F3, 2, 76) (dual of [(52, 2), 4, 77]-NRT-code) | [i] | ||
| 35 | Linear OA(968, 98, F9, 40) (dual of [98, 30, 41]-code) | [i] | Construction X with Cyclic Codes | |
| 36 | Linear OA(9101, 114, F9, 71) (dual of [114, 13, 72]-code) | [i] | Construction XX with Cyclic Codes | |
| 37 | Linear OA(999, 111, F9, 71) (dual of [111, 12, 72]-code) | [i] | ||