Information on Result #662641
Linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using (u, u+v)-construction based on
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), 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(4254, 1059, F4, 65) (dual of [1059, 805, 66]-code) | [i] | Construction X with Cyclic Codes | |
| 2 | Linear OA(4244, 1059, F4, 61) (dual of [1059, 815, 62]-code) | [i] | ||
| 3 | Linear OA(4234, 1059, F4, 59) (dual of [1059, 825, 60]-code) | [i] | ||
| 4 | Linear OA(4224, 1059, F4, 57) (dual of [1059, 835, 58]-code) | [i] | ||
| 5 | Linear OA(4214, 1059, F4, 53) (dual of [1059, 845, 54]-code) | [i] | ||
| 6 | Linear OA(4204, 1059, F4, 51) (dual of [1059, 855, 52]-code) | [i] | ||
| 7 | Linear OA(4194, 1059, F4, 49) (dual of [1059, 865, 50]-code) | [i] | ||
| 8 | Linear OA(4184, 1059, F4, 45) (dual of [1059, 875, 46]-code) | [i] | ||
| 9 | Linear OA(4174, 1059, F4, 43) (dual of [1059, 885, 44]-code) | [i] | ||
| 10 | Linear OA(4164, 1059, F4, 41) (dual of [1059, 895, 42]-code) | [i] | ||
| 11 | Linear OA(4154, 1059, F4, 37) (dual of [1059, 905, 38]-code) | [i] | ||
| 12 | Linear OA(4144, 1059, F4, 35) (dual of [1059, 915, 36]-code) | [i] | ||
| 13 | Linear OA(4134, 1059, F4, 33) (dual of [1059, 925, 34]-code) | [i] | ||
| 14 | Linear OA(4124, 1059, F4, 29) (dual of [1059, 935, 30]-code) | [i] | ||
| 15 | Linear OA(4114, 1059, F4, 27) (dual of [1059, 945, 28]-code) | [i] | ||
| 16 | Linear OA(4104, 1059, F4, 25) (dual of [1059, 955, 26]-code) | [i] | ||
| 17 | Linear OA(484, 1059, F4, 19) (dual of [1059, 975, 20]-code) | [i] | ||
| 18 | Linear OA(4118, 286, F4, 37) (dual of [286, 168, 38]-code) | [i] | ||
| 19 | Linear OA(4110, 286, F4, 35) (dual of [286, 176, 36]-code) | [i] | ||
| 20 | Linear OA(4134, 291, F4, 43) (dual of [291, 157, 44]-code) | [i] | ||
| 21 | Linear OA(4106, 288, F4, 33) (dual of [288, 182, 34]-code) | [i] | ||
| 22 | Linear OA(4126, 288, F4, 41) (dual of [288, 162, 42]-code) | [i] | ||
| 23 | Linear OA(4148, 284, F4, 50) (dual of [284, 136, 51]-code) | [i] | ||
| 24 | Linear OA(4108, 290, F4, 34) (dual of [290, 182, 35]-code) | [i] | Construction XX with Cyclic Codes | |
| 25 | Linear OA(4113, 294, F4, 35) (dual of [294, 181, 36]-code) | [i] | ||
| 26 | Linear OA(4112, 292, F4, 35) (dual of [292, 180, 36]-code) | [i] | ||
| 27 | Linear OA(4113, 295, F4, 35) (dual of [295, 182, 36]-code) | [i] | ||
| 28 | Linear OA(4110, 288, F4, 35) (dual of [288, 178, 36]-code) | [i] | ||
| 29 | Linear OA(4115, 292, F4, 36) (dual of [292, 177, 37]-code) | [i] | ||
| 30 | Linear OA(4114, 290, F4, 36) (dual of [290, 176, 37]-code) | [i] | ||
| 31 | Linear OA(4115, 293, F4, 36) (dual of [293, 178, 37]-code) | [i] | ||
| 32 | Linear OA(4119, 299, F4, 37) (dual of [299, 180, 38]-code) | [i] | ||
| 33 | Linear OA(4117, 293, F4, 37) (dual of [293, 176, 38]-code) | [i] | ||
| 34 | Linear OA(4119, 292, F4, 38) (dual of [292, 173, 39]-code) | [i] | ||
| 35 | Linear OA(4118, 290, F4, 38) (dual of [290, 172, 39]-code) | [i] | ||
| 36 | Linear OA(4122, 300, F4, 38) (dual of [300, 178, 39]-code) | [i] | ||
| 37 | Linear OA(4121, 297, F4, 38) (dual of [297, 176, 39]-code) | [i] | ||
| 38 | Linear OA(4122, 290, F4, 39) (dual of [290, 168, 40]-code) | [i] | ||
| 39 | Linear OA(4123, 295, F4, 39) (dual of [295, 172, 40]-code) | [i] | ||
| 40 | Linear OA(4127, 295, F4, 40) (dual of [295, 168, 41]-code) | [i] | ||
| 41 | Linear OA(4130, 302, F4, 41) (dual of [302, 172, 42]-code) | [i] | ||
| 42 | Linear OA(4134, 302, F4, 42) (dual of [302, 168, 43]-code) | [i] | ||
| 43 | Linear OA(4130, 291, F4, 42) (dual of [291, 161, 43]-code) | [i] | ||
| 44 | Linear OA(4135, 295, F4, 43) (dual of [295, 160, 44]-code) | [i] | ||
| 45 | Linear OA(4134, 293, F4, 43) (dual of [293, 159, 44]-code) | [i] | ||
| 46 | Linear OA(4135, 296, F4, 43) (dual of [296, 161, 44]-code) | [i] | ||
| 47 | Linear OA(4139, 295, F4, 44) (dual of [295, 156, 45]-code) | [i] | ||
| 48 | Linear OA(4139, 298, F4, 44) (dual of [298, 159, 45]-code) | [i] | ||
| 49 | Linear OA(4141, 298, F4, 45) (dual of [298, 157, 46]-code) | [i] | ||
| 50 | Linear OA(4139, 294, F4, 45) (dual of [294, 155, 46]-code) | [i] | ||
| 51 | Linear OA(4142, 302, F4, 45) (dual of [302, 160, 46]-code) | [i] | ||
| 52 | Linear OA(4142, 303, F4, 45) (dual of [303, 161, 46]-code) | [i] | ||
| 53 | Linear OA(4141, 300, F4, 45) (dual of [300, 159, 46]-code) | [i] | ||
| 54 | Linear OA(4146, 303, F4, 46) (dual of [303, 157, 47]-code) | [i] | ||
| 55 | Linear OA(4145, 300, F4, 46) (dual of [300, 155, 47]-code) | [i] | ||
| 56 | Linear OA(4142, 293, F4, 46) (dual of [293, 151, 47]-code) | [i] | ||
| 57 | Linear OA(4146, 305, F4, 46) (dual of [305, 159, 47]-code) | [i] | ||
| 58 | Linear OA(4113, 291, F4, 35) (dual of [291, 178, 36]-code) | [i] | Construction XX with a Chain of Cyclic Codes | |
| 59 | Linear OA(4112, 289, F4, 35) (dual of [289, 177, 36]-code) | [i] | ||
| 60 | Linear OA(4254, 1057, F4, 67) (dual of [1057, 803, 68]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 61 | Linear OA(4254, 1058, F4, 66) (dual of [1058, 804, 67]-code) | [i] | ||
| 62 | Linear OA(4205, 285, F4, 94) (dual of [285, 80, 95]-code) | [i] | ||
| 63 | Linear OA(4205, 286, F4, 93) (dual of [286, 81, 94]-code) | [i] | ||
| 64 | Linear OA(4122, 287, F4, 39) (dual of [287, 165, 40]-code) | [i] | ||
| 65 | Linear OA(4118, 287, F4, 38) (dual of [287, 169, 39]-code) | [i] | ||
| 66 | Linear OA(4114, 287, F4, 37) (dual of [287, 173, 38]-code) | [i] | ||
| 67 | Linear OA(4110, 287, F4, 35) (dual of [287, 177, 36]-code) | [i] | ||
| 68 | Linear OA(4108, 289, F4, 34) (dual of [289, 181, 35]-code) | [i] | ||
| 69 | Linear OA(4142, 290, F4, 46) (dual of [290, 148, 47]-code) | [i] | ||
| 70 | Linear OA(4138, 290, F4, 45) (dual of [290, 152, 46]-code) | [i] | ||
| 71 | Linear OA(4130, 290, F4, 42) (dual of [290, 160, 43]-code) | [i] | ||
| 72 | Linear OA(4260, 1054, F4, 70) (dual of [1054, 794, 71]-code) | [i] | Construction XX with a Chain of Extended Narrow-Sense BCH Codes | |
| 73 | Linear OA(4257, 1057, F4, 69) (dual of [1057, 800, 70]-code) | [i] | ||
| 74 | Linear OA(4256, 1055, F4, 69) (dual of [1055, 799, 70]-code) | [i] | ||
| 75 | Linear OA(4255, 1059, F4, 67) (dual of [1059, 804, 68]-code) | [i] | ||
| 76 | Linear OA(4206, 287, F4, 94) (dual of [287, 81, 95]-code) | [i] | ||
| 77 | Linear OA(4125, 293, F4, 39) (dual of [293, 168, 40]-code) | [i] | ||
| 78 | Linear OA(4124, 291, F4, 39) (dual of [291, 167, 40]-code) | [i] | ||
| 79 | Linear OA(4123, 289, F4, 39) (dual of [289, 166, 40]-code) | [i] | ||
| 80 | Linear OA(4121, 293, F4, 38) (dual of [293, 172, 39]-code) | [i] | ||
| 81 | Linear OA(4120, 291, F4, 38) (dual of [291, 171, 39]-code) | [i] | ||
| 82 | Linear OA(4119, 289, F4, 38) (dual of [289, 170, 39]-code) | [i] | ||
| 83 | Linear OA(4118, 294, F4, 37) (dual of [294, 176, 38]-code) | [i] | ||
| 84 | Linear OA(4117, 292, F4, 37) (dual of [292, 175, 38]-code) | [i] | ||
| 85 | Linear OA(4116, 290, F4, 37) (dual of [290, 174, 38]-code) | [i] | ||
| 86 | Linear OA(4113, 293, F4, 35) (dual of [293, 180, 36]-code) | [i] | ||
| 87 | Linear OA(4112, 291, F4, 35) (dual of [291, 179, 36]-code) | [i] | ||
| 88 | Linear OA(4111, 289, F4, 35) (dual of [289, 178, 36]-code) | [i] | ||
| 89 | Linear OA(4109, 291, F4, 34) (dual of [291, 182, 35]-code) | [i] | ||
| 90 | Linear OOA(413, 17, F4, 2, 7) (dual of [(17, 2), 21, 8]-NRT-code) | [i] | OOA Folding | |
| 91 | Linear OOA(413, 11, F4, 3, 7) (dual of [(11, 3), 20, 8]-NRT-code) | [i] | ||