Information on Result #677645
Linear OA(3106, 122, F3, 61) (dual of [122, 16, 62]-code), using an extension Ce(60) of 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.
This result is hidden, because other results with identical parameters exist.
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(3108, 124, F3, 61) (dual of [124, 16, 62]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3109, 125, F3, 61) (dual of [125, 16, 62]-code) | [i] | ||
| 3 | Linear OA(3112, 128, F3, 63) (dual of [128, 16, 64]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 4 | Linear OA(3116, 128, F3, 67) (dual of [128, 12, 68]-code) | [i] | ✔ | |
| 5 | Linear OA(3117, 133, F3, 67) (dual of [133, 16, 68]-code) | [i] | ✔ | |
| 6 | Linear OA(3113, 126, F3, 64) (dual of [126, 13, 65]-code) | [i] | ✔ | |
| 7 | Linear OA(3136, 150, F3, 76) (dual of [150, 14, 77]-code) | [i] | ✔ | |
| 8 | Linear OA(3133, 149, F3, 71) (dual of [149, 16, 72]-code) | [i] | ✔ | |
| 9 | Linear OA(3128, 144, F3, 70) (dual of [144, 16, 71]-code) | [i] | ✔ | |
| 10 | Linear OA(3136, 152, F3, 74) (dual of [152, 16, 75]-code) | [i] | ✔ | |
| 11 | Linear OA(3135, 151, F3, 73) (dual of [151, 16, 74]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 12 | Linear OA(3132, 148, F3, 71) (dual of [148, 16, 72]-code) | [i] | ✔ | |
| 13 | Linear OA(3131, 145, F3, 72) (dual of [145, 14, 73]-code) | [i] | ✔ | |
| 14 | Linear OA(3126, 140, F3, 69) (dual of [140, 14, 70]-code) | [i] | ✔ | |
| 15 | Linear OA(3131, 144, F3, 73) (dual of [144, 13, 74]-code) | [i] | ✔ | |
| 16 | Linear OA(3127, 140, F3, 70) (dual of [140, 13, 71]-code) | [i] | ✔ | |
| 17 | Linear OA(3125, 138, F3, 69) (dual of [138, 13, 70]-code) | [i] | ✔ | |
| 18 | Linear OA(3115, 132, F3, 61) (dual of [132, 17, 62]-code) | [i] | Construction X with Varšamov Bound | |
| 19 | Linear OA(3125, 146, F3, 61) (dual of [146, 21, 62]-code) | [i] | ||
| 20 | Linear OOA(3106, 61, F3, 2, 61) (dual of [(61, 2), 16, 62]-NRT-code) | [i] | OOA Folding | |