Information on Result #612428
Linear OA(3105, 121, F3, 60) (dual of [121, 16, 61]-code), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,60], and designed minimum distance d ≥ |I|+1 = 61
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(3105, 121, F3, 59) (dual of [121, 16, 60]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3105, 121, F3, 58) (dual of [121, 16, 59]-code) | [i] | ||
| 3 | Linear OA(3105, 121, F3, 57) (dual of [121, 16, 58]-code) | [i] | ||
| 4 | Linear OA(3108, 124, F3, 60) (dual of [124, 16, 61]-code) | [i] | Code Embedding in Larger Space | |
| 5 | Linear OA(3107, 123, F3, 62) (dual of [123, 16, 63]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 6 | Linear OA(3122, 138, F3, 68) (dual of [138, 16, 69]-code) | [i] | ✔ | |
| 7 | Linear OA(3129, 145, F3, 71) (dual of [145, 16, 72]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 8 | Linear OA(3137, 151, F3, 77) (dual of [151, 14, 78]-code) | [i] | ✔ | |
| 9 | Linear OA(3118, 134, F3, 68) (dual of [134, 16, 69]-code) | [i] | ✔ | |
| 10 | Linear OA(3113, 129, F3, 64) (dual of [129, 16, 65]-code) | [i] | ✔ | |
| 11 | Linear OA(3132, 148, F3, 72) (dual of [148, 16, 73]-code) | [i] | ✔ | |
| 12 | Linear OA(3127, 143, F3, 71) (dual of [143, 16, 72]-code) | [i] | ✔ | |
| 13 | Linear OA(3131, 146, F3, 72) (dual of [146, 15, 73]-code) | [i] | ✔ | |
| 14 | Linear OA(3130, 144, F3, 72) (dual of [144, 14, 73]-code) | [i] | ✔ | |
| 15 | Linear OA(3137, 153, F3, 75) (dual of [153, 16, 76]-code) | [i] | ✔ | |
| 16 | Linear OA(3130, 146, F3, 71) (dual of [146, 16, 72]-code) | [i] | ✔ | Construction XX with a Chain of Cyclic Codes |
| 17 | Linear OA(3119, 135, F3, 68) (dual of [135, 16, 69]-code) | [i] | ✔ | |
| 18 | Linear OA(3114, 131, F3, 60) (dual of [131, 17, 61]-code) | [i] | Construction X with Varšamov Bound | |
| 19 | Linear OOA(3105, 60, F3, 2, 60) (dual of [(60, 2), 15, 61]-NRT-code) | [i] | OOA Folding | |
| 20 | Linear OOA(3105, 40, F3, 3, 60) (dual of [(40, 3), 15, 61]-NRT-code) | [i] | ||
| 21 | Linear OOA(3105, 24, F3, 5, 60) (dual of [(24, 5), 15, 61]-NRT-code) | [i] | ||