Information on Result #613072
Linear OA(497, 257, F4, 35) (dual of [257, 160, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 257 | 48−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound)
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(4113, 274, F4, 35) (dual of [274, 161, 36]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 2 | Linear OA(4106, 266, F4, 37) (dual of [266, 160, 38]-code) | [i] | ✔ | |
| 3 | Linear OA(498, 266, F4, 31) (dual of [266, 168, 32]-code) | [i] | ✔ | |
| 4 | Linear OA(4102, 263, F4, 35) (dual of [263, 161, 36]-code) | [i] | ✔ | |
| 5 | Linear OA(4103, 269, F4, 35) (dual of [269, 166, 36]-code) | [i] | ✔ | |
| 6 | Linear OA(4104, 272, F4, 35) (dual of [272, 168, 36]-code) | [i] | ✔ | |
| 7 | Linear OA(4100, 263, F4, 33) (dual of [263, 163, 34]-code) | [i] | ✔ | |
| 8 | Linear OA(4101, 269, F4, 33) (dual of [269, 168, 34]-code) | [i] | ✔ | |
| 9 | Linear OA(4120, 273, F4, 41) (dual of [273, 153, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(4121, 275, F4, 41) (dual of [275, 154, 42]-code) | [i] | ✔ | |
| 11 | Linear OA(4122, 281, F4, 41) (dual of [281, 159, 42]-code) | [i] | ✔ | |
| 12 | Linear OA(4123, 283, F4, 41) (dual of [283, 160, 42]-code) | [i] | ✔ | |
| 13 | Linear OA(4119, 278, F4, 40) (dual of [278, 159, 41]-code) | [i] | ✔ | |
| 14 | Linear OA(4120, 280, F4, 40) (dual of [280, 160, 41]-code) | [i] | ✔ | |
| 15 | Linear OA(4117, 274, F4, 39) (dual of [274, 157, 40]-code) | [i] | ✔ | |
| 16 | Linear OA(4118, 278, F4, 39) (dual of [278, 160, 40]-code) | [i] | ✔ | |
| 17 | Linear OA(4116, 276, F4, 38) (dual of [276, 160, 39]-code) | [i] | ✔ | |
| 18 | Linear OA(4107, 277, F4, 35) (dual of [277, 170, 36]-code) | [i] | ✔ | |
| 19 | Linear OA(4108, 283, F4, 35) (dual of [283, 175, 36]-code) | [i] | ✔ | |
| 20 | Linear OA(4110, 286, F4, 35) (dual of [286, 176, 36]-code) | [i] | ✔ | |
| 21 | Linear OA(4105, 274, F4, 34) (dual of [274, 169, 35]-code) | [i] | ✔ | |
| 22 | Linear OA(4107, 283, F4, 33) (dual of [283, 176, 34]-code) | [i] | ✔ | |
| 23 | Linear OA(4103, 278, F4, 32) (dual of [278, 175, 33]-code) | [i] | ✔ | |
| 24 | Linear OA(4104, 280, F4, 32) (dual of [280, 176, 33]-code) | [i] | ✔ | |
| 25 | Linear OA(4101, 274, F4, 31) (dual of [274, 173, 32]-code) | [i] | ✔ | |
| 26 | Linear OA(4134, 291, F4, 43) (dual of [291, 157, 44]-code) | [i] | ✔ | |
| 27 | Linear OA(4135, 294, F4, 43) (dual of [294, 159, 44]-code) | [i] | ✔ | |
| 28 | Linear OA(4136, 296, F4, 43) (dual of [296, 160, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(4133, 291, F4, 42) (dual of [291, 158, 43]-code) | [i] | ✔ | |
| 30 | Linear OA(4134, 294, F4, 42) (dual of [294, 160, 43]-code) | [i] | ✔ | |
| 31 | Linear OA(4132, 287, F4, 42) (dual of [287, 155, 43]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 32 | Linear OA(4131, 285, F4, 42) (dual of [285, 154, 43]-code) | [i] | ✔ | |
| 33 | Linear OA(4133, 286, F4, 43) (dual of [286, 153, 44]-code) | [i] | ✔ | |
| 34 | Linear OA(4130, 283, F4, 42) (dual of [283, 153, 43]-code) | [i] | ✔ | |
| 35 | Linear OA(4121, 276, F4, 41) (dual of [276, 155, 42]-code) | [i] | ✔ | |
| 36 | Linear OA(4120, 274, F4, 41) (dual of [274, 154, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(4119, 272, F4, 41) (dual of [272, 153, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(4116, 269, F4, 39) (dual of [269, 153, 40]-code) | [i] | ✔ | |
| 39 | Linear OA(4131, 293, F4, 41) (dual of [293, 162, 42]-code) | [i] | ✔ | |
| 40 | Linear OA(4128, 290, F4, 40) (dual of [290, 162, 41]-code) | [i] | ✔ | |
| 41 | Linear OA(4129, 290, F4, 41) (dual of [290, 161, 42]-code) | [i] | ✔ | |
| 42 | Linear OA(4126, 287, F4, 40) (dual of [287, 161, 41]-code) | [i] | ✔ | |
| 43 | Linear OA(4124, 285, F4, 39) (dual of [285, 161, 40]-code) | [i] | ✔ | |
| 44 | Linear OA(4122, 283, F4, 38) (dual of [283, 161, 39]-code) | [i] | ✔ | |
| 45 | Linear OA(4115, 278, F4, 37) (dual of [278, 163, 38]-code) | [i] | ✔ | |
| 46 | Linear OA(4114, 276, F4, 37) (dual of [276, 162, 38]-code) | [i] | ✔ | |
| 47 | Linear OA(4112, 273, F4, 37) (dual of [273, 161, 38]-code) | [i] | ✔ | |
| 48 | Linear OA(4105, 276, F4, 33) (dual of [276, 171, 34]-code) | [i] | ✔ | |
| 49 | Linear OA(4104, 274, F4, 33) (dual of [274, 170, 34]-code) | [i] | ✔ | |
| 50 | Linear OA(4106, 275, F4, 35) (dual of [275, 169, 36]-code) | [i] | ✔ | |
| 51 | Linear OA(4103, 272, F4, 33) (dual of [272, 169, 34]-code) | [i] | ✔ | |
| 52 | Linear OA(4100, 269, F4, 31) (dual of [269, 169, 32]-code) | [i] | ✔ | |
| 53 | Linear OA(4113, 291, F4, 35) (dual of [291, 178, 36]-code) | [i] | ✔ | |
| 54 | Linear OA(4112, 289, F4, 35) (dual of [289, 177, 36]-code) | [i] | ✔ | |