Information on Result #613101
Linear OA(4101, 256, F4, 37) (dual of [256, 155, 38]-code), using an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37
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(4119, 275, F4, 37) (dual of [275, 156, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(4102, 262, F4, 37) (dual of [262, 160, 38]-code) | [i] | Varšamov–Edel Lengthening | |
| 3 | Linear OA(4103, 270, F4, 37) (dual of [270, 167, 38]-code) | [i] | ||
| 4 | Linear OA(4105, 260, F4, 38) (dual of [260, 155, 39]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 5 | Linear OA(4102, 261, F4, 37) (dual of [261, 159, 38]-code) | [i] | ✔ | |
| 6 | Linear OA(4110, 265, F4, 39) (dual of [265, 155, 40]-code) | [i] | ✔ | |
| 7 | Linear OA(4102, 263, F4, 36) (dual of [263, 161, 37]-code) | [i] | ✔ | |
| 8 | Linear OA(4104, 265, F4, 37) (dual of [265, 161, 38]-code) | [i] | ✔ | |
| 9 | Linear OA(4117, 272, F4, 41) (dual of [272, 155, 42]-code) | [i] | ✔ | |
| 10 | Linear OA(4108, 272, F4, 37) (dual of [272, 164, 38]-code) | [i] | ✔ | |
| 11 | Linear OA(4109, 274, F4, 37) (dual of [274, 165, 38]-code) | [i] | ✔ | |
| 12 | Linear OA(4107, 272, F4, 36) (dual of [272, 165, 37]-code) | [i] | ✔ | |
| 13 | Linear OA(4123, 277, F4, 42) (dual of [277, 154, 43]-code) | [i] | ✔ | |
| 14 | Linear OA(4124, 279, F4, 42) (dual of [279, 155, 43]-code) | [i] | ✔ | |
| 15 | Linear OA(4111, 280, F4, 37) (dual of [280, 169, 38]-code) | [i] | ✔ | |
| 16 | Linear OA(4131, 286, F4, 43) (dual of [286, 155, 44]-code) | [i] | ✔ | |
| 17 | Linear OA(4112, 282, F4, 37) (dual of [282, 170, 38]-code) | [i] | ✔ | |
| 18 | Linear OA(4114, 287, F4, 37) (dual of [287, 173, 38]-code) | [i] | ✔ | |
| 19 | Linear OA(4138, 290, F4, 45) (dual of [290, 152, 46]-code) | [i] | ✔ | |
| 20 | Linear OA(4139, 293, F4, 45) (dual of [293, 154, 46]-code) | [i] | ✔ | |
| 21 | Linear OA(4140, 295, F4, 45) (dual of [295, 155, 46]-code) | [i] | ✔ | |
| 22 | Linear OA(4137, 290, F4, 44) (dual of [290, 153, 45]-code) | [i] | ✔ | |
| 23 | Linear OA(4138, 293, F4, 44) (dual of [293, 155, 45]-code) | [i] | ✔ | |
| 24 | Linear OA(4118, 292, F4, 37) (dual of [292, 174, 38]-code) | [i] | ✔ | |
| 25 | Linear OA(4119, 296, F4, 37) (dual of [296, 177, 38]-code) | [i] | ✔ | |
| 26 | Linear OA(4108, 273, F4, 37) (dual of [273, 165, 38]-code) | [i] | ✔ | |
| 27 | Linear OA(4136, 288, F4, 44) (dual of [288, 152, 45]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(4130, 283, F4, 43) (dual of [283, 153, 44]-code) | [i] | ✔ | |
| 29 | Linear OA(4129, 281, F4, 43) (dual of [281, 152, 44]-code) | [i] | ✔ | |
| 30 | Linear OA(4133, 289, F4, 43) (dual of [289, 156, 44]-code) | [i] | ✔ | |
| 31 | Linear OA(4122, 274, F4, 42) (dual of [274, 152, 43]-code) | [i] | ✔ | |
| 32 | Linear OA(4128, 286, F4, 42) (dual of [286, 158, 43]-code) | [i] | ✔ | |
| 33 | Linear OA(4127, 284, F4, 42) (dual of [284, 157, 43]-code) | [i] | ✔ | |
| 34 | Linear OA(4126, 282, F4, 42) (dual of [282, 156, 43]-code) | [i] | ✔ | |
| 35 | Linear OA(4115, 267, F4, 40) (dual of [267, 152, 41]-code) | [i] | ✔ | |
| 36 | Linear OA(4121, 278, F4, 41) (dual of [278, 157, 42]-code) | [i] | ✔ | |
| 37 | Linear OA(4119, 275, F4, 41) (dual of [275, 156, 42]-code) | [i] | ✔ | |
| 38 | Linear OA(4112, 268, F4, 39) (dual of [268, 156, 40]-code) | [i] | ✔ | |
| 39 | Linear OA(4107, 263, F4, 38) (dual of [263, 156, 39]-code) | [i] | ✔ | |
| 40 | Linear OA(4103, 263, F4, 37) (dual of [263, 160, 38]-code) | [i] | ✔ | |
| 41 | Linear OA(4106, 269, F4, 36) (dual of [269, 163, 37]-code) | [i] | ✔ | |
| 42 | Linear OA(4107, 269, F4, 37) (dual of [269, 162, 38]-code) | [i] | ✔ | |
| 43 | Linear OA(4105, 267, F4, 36) (dual of [267, 162, 37]-code) | [i] | ✔ | |
| 44 | Linear OA(4109, 276, F4, 36) (dual of [276, 167, 37]-code) | [i] | ✔ | |
| 45 | Linear OA(4108, 274, F4, 36) (dual of [274, 166, 37]-code) | [i] | ✔ | |
| 46 | Linear OA(4118, 294, F4, 37) (dual of [294, 176, 38]-code) | [i] | ✔ | |
| 47 | Linear OA(4117, 292, F4, 37) (dual of [292, 175, 38]-code) | [i] | ✔ | |
| 48 | Linear OA(4116, 290, F4, 37) (dual of [290, 174, 38]-code) | [i] | ✔ | |
| 49 | Linear OA(4109, 275, F4, 37) (dual of [275, 166, 38]-code) | [i] | ✔ | |
| 50 | Linear OA(4113, 284, F4, 37) (dual of [284, 171, 38]-code) | [i] | ✔ | |
| 51 | Linear OOA(4101, 128, F4, 2, 37) (dual of [(128, 2), 155, 38]-NRT-code) | [i] | OOA Folding | |