Information on Result #612556
Linear OA(3211, 243, F3, 121) (dual of [243, 32, 122]-code), using an extension Ce(120) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,120], and designed minimum distance d ≥ |I|+1 = 121
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(3211, 243, F3, 120) (dual of [243, 32, 121]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3211, 243, F3, 119) (dual of [243, 32, 120]-code) | [i] | ||
| 3 | Linear OA(3211, 243, F3, 118) (dual of [243, 32, 119]-code) | [i] | ||
| 4 | Linear OA(3211, 243, F3, 117) (dual of [243, 32, 118]-code) | [i] | ||
| 5 | Linear OA(3211, 243, F3, 116) (dual of [243, 32, 117]-code) | [i] | ||
| 6 | Linear OA(3211, 243, F3, 115) (dual of [243, 32, 116]-code) | [i] | ||
| 7 | Linear OA(3211, 243, F3, 114) (dual of [243, 32, 115]-code) | [i] | ||
| 8 | Linear OA(3211, 243, F3, 113) (dual of [243, 32, 114]-code) | [i] | ||
| 9 | Linear OA(3211, 243, F3, 112) (dual of [243, 32, 113]-code) | [i] | ||
| 10 | Linear OA(3211, 243, F3, 111) (dual of [243, 32, 112]-code) | [i] | ||
| 11 | Linear OA(3211, 243, F3, 110) (dual of [243, 32, 111]-code) | [i] | ||
| 12 | Linear OA(3211, 243, F3, 109) (dual of [243, 32, 110]-code) | [i] | ||
| 13 | Linear OA(3211, 243, F3, 108) (dual of [243, 32, 109]-code) | [i] | ||
| 14 | Linear OA(3211, 243, F3, 107) (dual of [243, 32, 108]-code) | [i] | ||
| 15 | Linear OA(3211, 243, F3, 106) (dual of [243, 32, 107]-code) | [i] | ||
| 16 | Linear OA(3211, 243, F3, 105) (dual of [243, 32, 106]-code) | [i] | ||
| 17 | Linear OA(3211, 243, F3, 104) (dual of [243, 32, 105]-code) | [i] | ||
| 18 | Linear OA(3211, 243, F3, 103) (dual of [243, 32, 104]-code) | [i] | ||
| 19 | Linear OA(3211, 243, F3, 102) (dual of [243, 32, 103]-code) | [i] | ||
| 20 | Linear OA(3213, 245, F3, 121) (dual of [245, 32, 122]-code) | [i] | Code Embedding in Larger Space | |
| 21 | Linear OA(3214, 246, F3, 121) (dual of [246, 32, 122]-code) | [i] | ||
| 22 | Linear OA(3215, 247, F3, 121) (dual of [247, 32, 122]-code) | [i] | ||
| 23 | Linear OA(3250, 282, F3, 121) (dual of [282, 32, 122]-code) | [i] | ||
| 24 | Linear OA(3243, 275, F3, 122) (dual of [275, 32, 123]-code) | [i] | Juxtaposition | |
| 25 | Linear OA(3244, 276, F3, 123) (dual of [276, 32, 124]-code) | [i] | ||
| 26 | Linear OA(3210, 228, F3, 121) (dual of [228, 18, 122]-code) | [i] | Construction Y1 | |
| 27 | Linear OA(3212, 244, F3, 122) (dual of [244, 32, 123]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 28 | Linear OA(3250, 283, F3, 120) (dual of [283, 33, 121]-code) | [i] | ✔ | |
| 29 | Linear OA(3218, 250, F3, 123) (dual of [250, 32, 124]-code) | [i] | ✔ | |
| 30 | Linear OA(3221, 253, F3, 125) (dual of [253, 32, 126]-code) | [i] | ✔ | |
| 31 | Linear OA(3240, 272, F3, 131) (dual of [272, 32, 132]-code) | [i] | ✔ | |
| 32 | Linear OA(3234, 266, F3, 130) (dual of [266, 32, 131]-code) | [i] | ✔ | |
| 33 | Linear OA(3230, 262, F3, 127) (dual of [262, 32, 128]-code) | [i] | ✔ | |
| 34 | Linear OA(3249, 281, F3, 134) (dual of [281, 32, 135]-code) | [i] | ✔ | |
| 35 | Linear OA(3246, 278, F3, 132) (dual of [278, 32, 133]-code) | [i] | ✔ | |
| 36 | Linear OA(3247, 279, F3, 133) (dual of [279, 32, 134]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 37 | Linear OA(3235, 267, F3, 131) (dual of [267, 32, 132]-code) | [i] | ✔ | |
| 38 | Linear OA(3231, 263, F3, 128) (dual of [263, 32, 129]-code) | [i] | ✔ | |
| 39 | Linear OA(3228, 260, F3, 126) (dual of [260, 32, 127]-code) | [i] | ✔ | |
| 40 | Linear OA(3219, 251, F3, 124) (dual of [251, 32, 125]-code) | [i] | ✔ | |
| 41 | Linear OA(3231, 264, F3, 121) (dual of [264, 33, 122]-code) | [i] | Construction X with Varšamov Bound | |
| 42 | Linear OA(3239, 273, F3, 121) (dual of [273, 34, 122]-code) | [i] | ||
| 43 | Linear OA(3242, 277, F3, 121) (dual of [277, 35, 122]-code) | [i] | ||
| 44 | Linear OA(3237, 272, F3, 118) (dual of [272, 35, 119]-code) | [i] | ||
| 45 | Linear OA(3245, 281, F3, 121) (dual of [281, 36, 122]-code) | [i] | ||
| 46 | Linear OA(3248, 285, F3, 121) (dual of [285, 37, 122]-code) | [i] | ||
| 47 | Linear OA(3246, 283, F3, 120) (dual of [283, 37, 121]-code) | [i] | ||
| 48 | Linear OA(3249, 287, F3, 121) (dual of [287, 38, 122]-code) | [i] | ||
| 49 | Linear OA(3247, 285, F3, 120) (dual of [285, 38, 121]-code) | [i] | ||
| 50 | Linear OA(3245, 282, F3, 120) (dual of [282, 37, 121]-code) | [i] | ||
| 51 | Linear OOA(3211, 81, F3, 3, 121) (dual of [(81, 3), 32, 122]-NRT-code) | [i] | OOA Folding | |