Information on Result #612557
Linear OA(3212, 243, F3, 122) (dual of [243, 31, 123]-code), using an extension Ce(121) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,121], and designed minimum distance d ≥ |I|+1 = 122
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(3243, 274, F3, 123) (dual of [274, 31, 124]-code) | [i] | Juxtaposition | |
| 2 | Linear OA(3244, 275, F3, 124) (dual of [275, 31, 125]-code) | [i] | ||
| 3 | Linear OA(3247, 278, F3, 125) (dual of [278, 31, 126]-code) | [i] | ||
| 4 | Linear OA(3249, 280, F3, 126) (dual of [280, 31, 127]-code) | [i] | ||
| 5 | Linear OA(3218, 249, F3, 124) (dual of [249, 31, 125]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 6 | Linear OA(3219, 247, F3, 125) (dual of [247, 28, 126]-code) | [i] | ✔ | |
| 7 | Linear OA(3220, 251, F3, 125) (dual of [251, 31, 126]-code) | [i] | ✔ | |
| 8 | Linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code) | [i] | ✔ | |
| 9 | Linear OA(3234, 265, F3, 131) (dual of [265, 31, 132]-code) | [i] | ✔ | |
| 10 | Linear OA(3228, 255, F3, 128) (dual of [255, 27, 129]-code) | [i] | ✔ | |
| 11 | Linear OA(3229, 257, F3, 128) (dual of [257, 28, 129]-code) | [i] | ✔ | |
| 12 | Linear OA(3230, 261, F3, 128) (dual of [261, 31, 129]-code) | [i] | ✔ | |
| 13 | Linear OA(3228, 257, F3, 127) (dual of [257, 29, 128]-code) | [i] | ✔ | |
| 14 | Linear OA(3227, 258, F3, 126) (dual of [258, 31, 127]-code) | [i] | ✔ | |
| 15 | Linear OA(3248, 279, F3, 134) (dual of [279, 31, 135]-code) | [i] | ✔ | |
| 16 | Linear OA(3246, 277, F3, 133) (dual of [277, 31, 134]-code) | [i] | ✔ | |
| 17 | Linear OA(3247, 274, F3, 134) (dual of [274, 27, 135]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 18 | Linear OA(3244, 271, F3, 132) (dual of [271, 27, 133]-code) | [i] | ✔ | |
| 19 | Linear OA(3244, 273, F3, 132) (dual of [273, 29, 133]-code) | [i] | ✔ | |
| 20 | Linear OA(3243, 271, F3, 134) (dual of [271, 28, 135]-code) | [i] | ✔ | |
| 21 | Linear OA(3242, 269, F3, 134) (dual of [269, 27, 135]-code) | [i] | ✔ | |
| 22 | Linear OA(3247, 279, F3, 133) (dual of [279, 32, 134]-code) | [i] | ✔ | |
| 23 | Linear OA(3233, 261, F3, 131) (dual of [261, 28, 132]-code) | [i] | ✔ | |
| 24 | Linear OA(3227, 255, F3, 127) (dual of [255, 28, 128]-code) | [i] | ✔ | |
| 25 | Linear OA(3231, 258, F3, 131) (dual of [258, 27, 132]-code) | [i] | ✔ | |
| 26 | Linear OA(3226, 253, F3, 127) (dual of [253, 27, 128]-code) | [i] | ✔ | |
| 27 | Linear OA(3235, 267, F3, 131) (dual of [267, 32, 132]-code) | [i] | ✔ | |
| 28 | Linear OA(3231, 263, F3, 128) (dual of [263, 32, 129]-code) | [i] | ✔ | |
| 29 | Linear OA(3228, 260, F3, 126) (dual of [260, 32, 127]-code) | [i] | ✔ | |
| 30 | Linear OA(3219, 251, F3, 124) (dual of [251, 32, 125]-code) | [i] | ✔ | |
| 31 | Linear OOA(3212, 81, F3, 3, 122) (dual of [(81, 3), 31, 123]-NRT-code) | [i] | OOA Folding | |