Information on Result #705992
Linear OA(4259, 266, F4, 192) (dual of [266, 7, 193]-code), using construction X applied to C([69,16]) ⊂ C([86,16]) based on
- linear OA(4253, 255, F4, 203) (dual of [255, 2, 204]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {69,70,…,16}, and designed minimum distance d ≥ |I|+1 = 204 [i]
- linear OA(4248, 255, F4, 186) (dual of [255, 7, 187]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {86,87,…,16}, and designed minimum distance d ≥ |I|+1 = 187 [i]
- linear OA(46, 11, F4, 5) (dual of [11, 5, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-code), using
- extended quadratic residue code Qe(12,4) [i]
- discarding factors / shortening the dual code based on linear OA(46, 12, F4, 5) (dual of [12, 6, 6]-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.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4259, 266, F4, 191) (dual of [266, 7, 192]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(4258, 265, F4, 191) (dual of [265, 7, 192]-code) | [i] | Truncation | |
| 3 | Linear OA(4257, 264, F4, 190) (dual of [264, 7, 191]-code) | [i] | ||
| 4 | Linear OA(4256, 263, F4, 189) (dual of [263, 7, 190]-code) | [i] | ||
| 5 | Linear OA(4255, 262, F4, 188) (dual of [262, 7, 189]-code) | [i] | ||
| 6 | Linear OA(4253, 260, F4, 186) (dual of [260, 7, 187]-code) | [i] | ||
| 7 | Linear OA(4252, 259, F4, 185) (dual of [259, 7, 186]-code) | [i] | ||
| 8 | Linear OA(4251, 258, F4, 184) (dual of [258, 7, 185]-code) | [i] | ||
| 9 | Linear OA(4250, 257, F4, 183) (dual of [257, 7, 184]-code) | [i] | ||
| 10 | Linear OA(4248, 255, F4, 181) (dual of [255, 7, 182]-code) | [i] | ||
| 11 | Linear OA(4247, 254, F4, 180) (dual of [254, 7, 181]-code) | [i] | ||
| 12 | Linear OA(4246, 253, F4, 179) (dual of [253, 7, 180]-code) | [i] | ||
| 13 | Linear OA(4245, 252, F4, 178) (dual of [252, 7, 179]-code) | [i] | ||
| 14 | Linear OA(4244, 251, F4, 177) (dual of [251, 7, 178]-code) | [i] | ||
| 15 | Linear OA(4243, 250, F4, 176) (dual of [250, 7, 177]-code) | [i] | ||
| 16 | Linear OA(4242, 249, F4, 175) (dual of [249, 7, 176]-code) | [i] | ||
| 17 | Linear OA(4241, 248, F4, 174) (dual of [248, 7, 175]-code) | [i] | ||
| 18 | Linear OA(4240, 247, F4, 173) (dual of [247, 7, 174]-code) | [i] | ||
| 19 | Linear OA(4239, 246, F4, 172) (dual of [246, 7, 173]-code) | [i] | ||
| 20 | Linear OA(4238, 245, F4, 171) (dual of [245, 7, 172]-code) | [i] | ||
| 21 | Linear OA(4237, 244, F4, 170) (dual of [244, 7, 171]-code) | [i] | ||
| 22 | Linear OA(4236, 243, F4, 169) (dual of [243, 7, 170]-code) | [i] | ||
| 23 | Linear OA(4235, 242, F4, 168) (dual of [242, 7, 169]-code) | [i] | ||
| 24 | Linear OA(4234, 241, F4, 167) (dual of [241, 7, 168]-code) | [i] | ||
| 25 | Linear OA(4233, 240, F4, 166) (dual of [240, 7, 167]-code) | [i] | ||
| 26 | Linear OA(4232, 239, F4, 165) (dual of [239, 7, 166]-code) | [i] | ||
| 27 | Linear OA(4231, 238, F4, 164) (dual of [238, 7, 165]-code) | [i] | ||
| 28 | Linear OA(4230, 237, F4, 163) (dual of [237, 7, 164]-code) | [i] | ||
| 29 | Linear OA(4229, 236, F4, 162) (dual of [236, 7, 163]-code) | [i] | ||
| 30 | Linear OA(4228, 235, F4, 161) (dual of [235, 7, 162]-code) | [i] | ||
| 31 | Linear OA(4227, 234, F4, 160) (dual of [234, 7, 161]-code) | [i] | ||
| 32 | Linear OA(4226, 233, F4, 159) (dual of [233, 7, 160]-code) | [i] | ||
| 33 | Linear OA(4225, 232, F4, 158) (dual of [232, 7, 159]-code) | [i] | ||
| 34 | Linear OOA(4259, 133, F4, 2, 192) (dual of [(133, 2), 7, 193]-NRT-code) | [i] | OOA Folding | |