Information on Result #605163
Linear OA(83, 4, F8, 3) (dual of [4, 1, 4]-code or 4-arc in PG(2,8) or 4-cap in PG(2,8)), 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(877, 32780, F8, 15) (dual of [32780, 32703, 16]-code) | [i] | Generalized (u, u+v)-Construction | |
| 2 | Linear OA(8103, 2097164, F8, 15) (dual of [2097164, 2097061, 16]-code) | [i] | ||
| 3 | Linear OA(853, 32776, F8, 11) (dual of [32776, 32723, 12]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 4 | Linear OA(871, 2097160, F8, 11) (dual of [2097160, 2097089, 12]-code) | [i] | ||
| 5 | Linear OA(848, 32776, F8, 10) (dual of [32776, 32728, 11]-code) | [i] | ||
| 6 | Linear OA(864, 2097160, F8, 10) (dual of [2097160, 2097096, 11]-code) | [i] | ||
| 7 | Linear OA(885, 123, F8, 24) (dual of [123, 38, 25]-code) | [i] | Construction X with Cyclic Codes | |
| 8 | Linear OA(877, 109, F8, 33) (dual of [109, 32, 34]-code) | [i] | ||
| 9 | Linear OA(858, 77, F8, 36) (dual of [77, 19, 37]-code) | [i] | ||
| 10 | Linear OA(878, 109, F8, 37) (dual of [109, 31, 38]-code) | [i] | ||
| 11 | Linear OA(882, 109, F8, 38) (dual of [109, 27, 39]-code) | [i] | ||
| 12 | Linear OA(884, 109, F8, 39) (dual of [109, 25, 40]-code) | [i] | ||
| 13 | Linear OA(888, 109, F8, 40) (dual of [109, 21, 41]-code) | [i] | ||
| 14 | Linear OA(892, 109, F8, 48) (dual of [109, 17, 49]-code) | [i] | ||
| 15 | Linear OA(893, 109, F8, 52) (dual of [109, 16, 53]-code) | [i] | ||
| 16 | Linear OA(897, 109, F8, 53) (dual of [109, 12, 54]-code) | [i] | ||
| 17 | Linear OA(899, 109, F8, 55) (dual of [109, 10, 56]-code) | [i] | ||
| 18 | Linear OA(8108, 121, F8, 61) (dual of [121, 13, 62]-code) | [i] | ||
| 19 | Linear OA(8170, 199, F8, 87) (dual of [199, 29, 88]-code) | [i] | ||
| 20 | Linear OA(8147, 4132, F8, 38) (dual of [4132, 3985, 39]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 21 | Linear OA(8137, 4122, F8, 37) (dual of [4122, 3985, 38]-code) | [i] | ||
| 22 | Linear OA(8126, 4111, F8, 35) (dual of [4111, 3985, 36]-code) | [i] | ||
| 23 | Linear OA(881, 4122, F8, 21) (dual of [4122, 4041, 22]-code) | [i] | ||
| 24 | Linear OA(870, 4111, F8, 19) (dual of [4111, 4041, 20]-code) | [i] | ||
| 25 | Linear OA(8156, 543, F8, 55) (dual of [543, 387, 56]-code) | [i] | ||
| 26 | Linear OA(8147, 534, F8, 53) (dual of [534, 387, 54]-code) | [i] | ||
| 27 | Linear OA(8138, 525, F8, 51) (dual of [525, 387, 52]-code) | [i] | ||
| 28 | Linear OA(8114, 543, F8, 39) (dual of [543, 429, 40]-code) | [i] | ||
| 29 | Linear OA(8105, 534, F8, 37) (dual of [534, 429, 38]-code) | [i] | ||
| 30 | Linear OA(896, 525, F8, 35) (dual of [525, 429, 36]-code) | [i] | ||
| 31 | Linear OA(872, 543, F8, 23) (dual of [543, 471, 24]-code) | [i] | ||
| 32 | Linear OA(863, 534, F8, 21) (dual of [534, 471, 22]-code) | [i] | ||
| 33 | Linear OA(854, 525, F8, 19) (dual of [525, 471, 20]-code) | [i] | ||
| 34 | Linear OA(865, 91, F8, 37) (dual of [91, 26, 38]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 35 | Linear OA(863, 89, F8, 36) (dual of [89, 26, 37]-code) | [i] | ||
| 36 | Linear OA(871, 85, F8, 49) (dual of [85, 14, 50]-code) | [i] | Construction X with Varšamov Bound | |
| 37 | Linear OA(872, 86, F8, 50) (dual of [86, 14, 51]-code) | [i] | ||
| 38 | Linear OA(875, 86, F8, 54) (dual of [86, 11, 55]-code) | [i] | ||
| 39 | Linear OA(882, 93, F8, 59) (dual of [93, 11, 60]-code) | [i] | ||
| 40 | Linear OA(883, 94, F8, 60) (dual of [94, 11, 61]-code) | [i] | ||
| 41 | Linear OA(8103, 117, F8, 73) (dual of [117, 14, 74]-code) | [i] | ||
| 42 | Linear OA(8104, 118, F8, 74) (dual of [118, 14, 75]-code) | [i] | ||
| 43 | Linear OA(8105, 119, F8, 75) (dual of [119, 14, 76]-code) | [i] | ||
| 44 | Linear OA(8108, 121, F8, 78) (dual of [121, 13, 79]-code) | [i] | ||
| 45 | Linear OA(8119, 132, F8, 86) (dual of [132, 13, 87]-code) | [i] | ||
| 46 | Linear OA(8120, 133, F8, 87) (dual of [133, 13, 88]-code) | [i] | ||
| 47 | Linear OA(8121, 134, F8, 88) (dual of [134, 13, 89]-code) | [i] | ||
| 48 | Linear OA(885, 104, F8, 57) (dual of [104, 19, 58]-code) | [i] | ||
| 49 | Linear OA(886, 105, F8, 58) (dual of [105, 19, 59]-code) | [i] | ||
| 50 | Linear OA(887, 106, F8, 59) (dual of [106, 19, 60]-code) | [i] | ||
| 51 | Linear OA(8115, 131, F8, 81) (dual of [131, 16, 82]-code) | [i] | ||
| 52 | Linear OA(8112, 131, F8, 77) (dual of [131, 19, 78]-code) | [i] | ||