Information on Result #613539
Linear OA(4249, 256, F4, 187) (dual of [256, 7, 188]-code), using an extension Ce(186) of the primitive narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [1,186], and designed minimum distance d ≥ |I|+1 = 187
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(4249, 256, F4, 186) (dual of [256, 7, 187]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4249, 256, F4, 185) (dual of [256, 7, 186]-code) | [i] | ||
| 3 | Linear OA(4249, 256, F4, 184) (dual of [256, 7, 185]-code) | [i] | ||
| 4 | Linear OA(4249, 256, F4, 183) (dual of [256, 7, 184]-code) | [i] | ||
| 5 | Linear OA(4249, 256, F4, 182) (dual of [256, 7, 183]-code) | [i] | ||
| 6 | Linear OA(4249, 256, F4, 181) (dual of [256, 7, 182]-code) | [i] | ||
| 7 | Linear OA(4249, 256, F4, 180) (dual of [256, 7, 181]-code) | [i] | ||
| 8 | Linear OA(4248, 255, F4, 186) (dual of [255, 7, 187]-code) | [i] | Truncation | |
| 9 | Linear OA(4247, 254, F4, 185) (dual of [254, 7, 186]-code) | [i] | ||
| 10 | Linear OA(4246, 253, F4, 184) (dual of [253, 7, 185]-code) | [i] | ||
| 11 | Linear OA(4245, 252, F4, 183) (dual of [252, 7, 184]-code) | [i] | ||
| 12 | Linear OA(4244, 251, F4, 182) (dual of [251, 7, 183]-code) | [i] | ||
| 13 | Linear OA(4243, 250, F4, 181) (dual of [250, 7, 182]-code) | [i] | ||
| 14 | Linear OA(4242, 249, F4, 180) (dual of [249, 7, 181]-code) | [i] | ||
| 15 | Linear OA(4241, 248, F4, 179) (dual of [248, 7, 180]-code) | [i] | ||
| 16 | Linear OA(4240, 247, F4, 178) (dual of [247, 7, 179]-code) | [i] | ||
| 17 | Linear OA(4239, 246, F4, 177) (dual of [246, 7, 178]-code) | [i] | ||
| 18 | Linear OA(4238, 245, F4, 176) (dual of [245, 7, 177]-code) | [i] | ||
| 19 | Linear OA(4237, 244, F4, 175) (dual of [244, 7, 176]-code) | [i] | ||
| 20 | Linear OA(4236, 243, F4, 174) (dual of [243, 7, 175]-code) | [i] | ||
| 21 | Linear OA(4235, 242, F4, 173) (dual of [242, 7, 174]-code) | [i] | ||
| 22 | Linear OA(4234, 241, F4, 172) (dual of [241, 7, 173]-code) | [i] | ||
| 23 | Linear OA(4233, 240, F4, 171) (dual of [240, 7, 172]-code) | [i] | ||
| 24 | Linear OA(4232, 239, F4, 170) (dual of [239, 7, 171]-code) | [i] | ||
| 25 | Linear OA(4231, 238, F4, 169) (dual of [238, 7, 170]-code) | [i] | ||
| 26 | Linear OA(4230, 237, F4, 168) (dual of [237, 7, 169]-code) | [i] | ||
| 27 | Linear OA(4229, 236, F4, 167) (dual of [236, 7, 168]-code) | [i] | ||
| 28 | Linear OA(4228, 235, F4, 166) (dual of [235, 7, 167]-code) | [i] | ||
| 29 | Linear OA(4227, 234, F4, 165) (dual of [234, 7, 166]-code) | [i] | ||
| 30 | Linear OA(4226, 233, F4, 164) (dual of [233, 7, 165]-code) | [i] | ||
| 31 | Linear OA(4225, 232, F4, 163) (dual of [232, 7, 164]-code) | [i] | ||
| 32 | Linear OA(4224, 231, F4, 162) (dual of [231, 7, 163]-code) | [i] | ||
| 33 | Linear OA(4223, 230, F4, 161) (dual of [230, 7, 162]-code) | [i] | ||
| 34 | Linear OA(4222, 229, F4, 160) (dual of [229, 7, 161]-code) | [i] | ||
| 35 | Linear OA(4221, 228, F4, 159) (dual of [228, 7, 160]-code) | [i] | ||
| 36 | Linear OA(4220, 227, F4, 158) (dual of [227, 7, 159]-code) | [i] | ||
| 37 | Linear OA(4219, 226, F4, 157) (dual of [226, 7, 158]-code) | [i] | ||
| 38 | Linear OA(4218, 225, F4, 156) (dual of [225, 7, 157]-code) | [i] | ||
| 39 | Linear OA(4217, 224, F4, 155) (dual of [224, 7, 156]-code) | [i] | ||
| 40 | Linear OA(4216, 223, F4, 154) (dual of [223, 7, 155]-code) | [i] | ||
| 41 | Linear OA(4215, 222, F4, 153) (dual of [222, 7, 154]-code) | [i] | ||
| 42 | Linear OA(4213, 220, F4, 151) (dual of [220, 7, 152]-code) | [i] | ||
| 43 | Linear OA(4212, 219, F4, 150) (dual of [219, 7, 151]-code) | [i] | ||
| 44 | Linear OA(4211, 218, F4, 149) (dual of [218, 7, 150]-code) | [i] | ||
| 45 | Linear OA(4210, 217, F4, 148) (dual of [217, 7, 149]-code) | [i] | ||
| 46 | Linear OA(4209, 216, F4, 147) (dual of [216, 7, 148]-code) | [i] | ||
| 47 | Linear OA(4208, 215, F4, 146) (dual of [215, 7, 147]-code) | [i] | ||
| 48 | Linear OA(4207, 214, F4, 145) (dual of [214, 7, 146]-code) | [i] | ||
| 49 | Linear OA(4206, 213, F4, 144) (dual of [213, 7, 145]-code) | [i] | ||
| 50 | Linear OA(4205, 212, F4, 143) (dual of [212, 7, 144]-code) | [i] | ||
| 51 | Linear OA(4256, 263, F4, 188) (dual of [263, 7, 189]-code) | [i] | Juxtaposition | |
| 52 | Linear OA(4257, 264, F4, 189) (dual of [264, 7, 190]-code) | [i] | ||
| 53 | Linear OA(4259, 266, F4, 190) (dual of [266, 7, 191]-code) | [i] | ||
| 54 | Linear OA(4260, 267, F4, 191) (dual of [267, 7, 192]-code) | [i] | ||
| 55 | Linear OA(462, 68, F4, 46) (dual of [68, 6, 47]-code) | [i] | Residual Code | |
| 56 | Linear OA(4254, 261, F4, 191) (dual of [261, 7, 192]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 57 | Linear OA(4250, 261, F4, 177) (dual of [261, 11, 178]-code) | [i] | ✔ | |
| 58 | Linear OA(4260, 268, F4, 187) (dual of [268, 8, 188]-code) | [i] | ✔ | |
| 59 | Linear OA(4260, 271, F4, 185) (dual of [271, 11, 186]-code) | [i] | ✔ | |
| 60 | Linear OA(4257, 266, F4, 183) (dual of [266, 9, 184]-code) | [i] | ✔ | |
| 61 | Linear OA(4255, 266, F4, 181) (dual of [266, 11, 182]-code) | [i] | ✔ | |
| 62 | Linear OA(4252, 262, F4, 179) (dual of [262, 10, 180]-code) | [i] | ✔ | |
| 63 | Linear OA(4260, 267, F4, 192) (dual of [267, 7, 193]-code) | [i] | ✔ | |
| 64 | Linear OA(4260, 274, F4, 180) (dual of [274, 14, 181]-code) | [i] | ✔ | |
| 65 | Linear OA(4260, 266, F4, 193) (dual of [266, 6, 194]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 66 | Linear OA(4260, 273, F4, 181) (dual of [273, 13, 182]-code) | [i] | ✔ | |
| 67 | Linear OA(4259, 271, F4, 181) (dual of [271, 12, 182]-code) | [i] | ✔ | |
| 68 | Linear OA(4254, 266, F4, 177) (dual of [266, 12, 178]-code) | [i] | ✔ | |
| 69 | Linear OOA(4249, 128, F4, 2, 187) (dual of [(128, 2), 7, 188]-NRT-code) | [i] | OOA Folding | |