Information on Result #605337
Linear OA(93, 4, F9, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,9) or 4-cap in PG(2,9)), using dual of repetition code with length 4
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(951, 741, F9, 15) (dual of [741, 690, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(977, 59061, F9, 15) (dual of [59061, 58984, 16]-code) | [i] | ||
| 3 | Linear OA(9103, 4782981, F9, 15) (dual of [4782981, 4782878, 16]-code) | [i] | ||
| 4 | Linear OA(935, 737, F9, 11) (dual of [737, 702, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(953, 59057, F9, 11) (dual of [59057, 59004, 12]-code) | [i] | ||
| 6 | Linear OA(971, 4782977, F9, 11) (dual of [4782977, 4782906, 12]-code) | [i] | ||
| 7 | Linear OA(948, 59057, F9, 10) (dual of [59057, 59009, 11]-code) | [i] | ||
| 8 | Linear OA(964, 4782977, F9, 10) (dual of [4782977, 4782913, 11]-code) | [i] | ||
| 9 | Linear OA(922, 734, F9, 7) (dual of [734, 712, 8]-code) | [i] | Construction X with Cyclic Codes | |
| 10 | Linear OA(928, 6566, F9, 7) (dual of [6566, 6538, 8]-code) | [i] | ||
| 11 | Linear OA(934, 59054, F9, 7) (dual of [59054, 59020, 8]-code) | [i] | ||
| 12 | Linear OA(940, 531446, F9, 7) (dual of [531446, 531406, 8]-code) | [i] | ||
| 13 | Linear OA(946, 4782974, F9, 7) (dual of [4782974, 4782928, 8]-code) | [i] | ||
| 14 | Linear OA(920, 86, F9, 9) (dual of [86, 66, 10]-code) | [i] | ||
| 15 | Linear OA(923, 32, F9, 14) (dual of [32, 9, 15]-code) | [i] | ||
| 16 | Linear OA(933, 39, F9, 18) (dual of [39, 6, 19]-code) | [i] | ||
| 17 | Linear OA(955, 92, F9, 18) (dual of [92, 37, 19]-code) | [i] | ||
| 18 | Linear OA(931, 36, F9, 19) (dual of [36, 5, 20]-code) | [i] | ||
| 19 | Linear OA(967, 95, F9, 40) (dual of [95, 28, 41]-code) | [i] | ||
| 20 | Linear OA(974, 102, F9, 42) (dual of [102, 28, 43]-code) | [i] | Construction XX with Cyclic Codes | |
| 21 | Linear OA(970, 98, F9, 41) (dual of [98, 28, 42]-code) | [i] | ||
| 22 | Linear OA(9142, 6576, F9, 39) (dual of [6576, 6434, 40]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 23 | Linear OA(989, 6587, F9, 23) (dual of [6587, 6498, 24]-code) | [i] | ||
| 24 | Linear OA(978, 6576, F9, 21) (dual of [6576, 6498, 22]-code) | [i] | ||
| 25 | Linear OA(9126, 760, F9, 43) (dual of [760, 634, 44]-code) | [i] | ||
| 26 | Linear OA(9117, 751, F9, 41) (dual of [751, 634, 42]-code) | [i] | ||
| 27 | Linear OA(9108, 742, F9, 39) (dual of [742, 634, 40]-code) | [i] | ||
| 28 | Linear OA(978, 760, F9, 25) (dual of [760, 682, 26]-code) | [i] | ||
| 29 | Linear OA(969, 751, F9, 23) (dual of [751, 682, 24]-code) | [i] | ||
| 30 | Linear OA(960, 742, F9, 21) (dual of [742, 682, 22]-code) | [i] | ||
| 31 | Linear OA(975, 103, F9, 42) (dual of [103, 28, 43]-code) | [i] | ||
| 32 | Linear OA(968, 105, F9, 37) (dual of [105, 37, 38]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 33 | Linear OA(956, 93, F9, 33) (dual of [93, 37, 34]-code) | [i] | ||
| 34 | Linear OA(976, 93, F9, 53) (dual of [93, 17, 54]-code) | [i] | Construction X with Varšamov Bound | |
| 35 | Linear OA(9125, 135, F9, 95) (dual of [135, 10, 96]-code) | [i] | ||
| 36 | Linear OA(9136, 144, F9, 106) (dual of [144, 8, 107]-code) | [i] | ||
| 37 | Linear OA(9137, 145, F9, 107) (dual of [145, 8, 108]-code) | [i] | ||
| 38 | Linear OA(9138, 146, F9, 108) (dual of [146, 8, 109]-code) | [i] | ||
| 39 | Linear OA(9139, 147, F9, 109) (dual of [147, 8, 110]-code) | [i] | ||
| 40 | Linear OA(9104, 120, F9, 74) (dual of [120, 16, 75]-code) | [i] | ||
| 41 | Linear OA(9105, 121, F9, 75) (dual of [121, 16, 76]-code) | [i] | ||
| 42 | Linear OA(9106, 122, F9, 76) (dual of [122, 16, 77]-code) | [i] | ||
| 43 | Linear OA(9107, 123, F9, 77) (dual of [123, 16, 78]-code) | [i] | ||
| 44 | Linear OA(9114, 130, F9, 82) (dual of [130, 16, 83]-code) | [i] | ||
| 45 | Linear OA(9116, 131, F9, 84) (dual of [131, 15, 85]-code) | [i] | ||
| 46 | Linear OA(9117, 132, F9, 85) (dual of [132, 15, 86]-code) | [i] | ||
| 47 | Linear OA(9120, 133, F9, 89) (dual of [133, 13, 90]-code) | [i] | ||
| 48 | Linear OA(9100, 117, F9, 71) (dual of [117, 17, 72]-code) | [i] | ||
| 49 | Linear OA(9116, 133, F9, 83) (dual of [133, 17, 84]-code) | [i] | ||
| 50 | Linear OA(9117, 134, F9, 84) (dual of [134, 17, 85]-code) | [i] | ||
| 51 | Linear OA(9119, 135, F9, 86) (dual of [135, 16, 87]-code) | [i] | ||