Information on Result #612454
Linear OA(3110, 121, F3, 66) (dual of [121, 11, 67]-code), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,66], and designed minimum distance d ≥ |I|+1 = 67
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
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(3110, 121, F3, 65) (dual of [121, 11, 66]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3110, 121, F3, 64) (dual of [121, 11, 65]-code) | [i] | ||
| 3 | Linear OA(3110, 121, F3, 63) (dual of [121, 11, 64]-code) | [i] | ||
| 4 | Linear OA(3112, 123, F3, 68) (dual of [123, 11, 69]-code) | [i] | ✔ | Construction X with Cyclic Codes |
| 5 | Linear OA(3118, 134, F3, 68) (dual of [134, 16, 69]-code) | [i] | ✔ | Construction XX with Cyclic Codes |
| 6 | Linear OA(3113, 129, F3, 64) (dual of [129, 16, 65]-code) | [i] | ✔ | |
| 7 | Linear OA(3132, 148, F3, 72) (dual of [148, 16, 73]-code) | [i] | ✔ | |
| 8 | Linear OA(3127, 143, F3, 71) (dual of [143, 16, 72]-code) | [i] | ✔ | |
| 9 | Linear OA(3131, 146, F3, 72) (dual of [146, 15, 73]-code) | [i] | ✔ | |
| 10 | Linear OA(3130, 144, F3, 72) (dual of [144, 14, 73]-code) | [i] | ✔ | |
| 11 | Linear OA(3144, 155, F3, 84) (dual of [155, 11, 85]-code) | [i] | ✔ | |
| 12 | Linear OA(3138, 149, F3, 81) (dual of [149, 11, 82]-code) | [i] | ✔ | |
| 13 | Linear OOA(3110, 24, F3, 5, 66) (dual of [(24, 5), 10, 67]-NRT-code) | [i] | OOA Folding | |