Information on Result #736621
Linear OA(3122, 140, F3, 65) (dual of [140, 18, 66]-code), using a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva
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(3122, 140, F3, 64) (dual of [140, 18, 65]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3122, 140, F3, 63) (dual of [140, 18, 64]-code) | [i] | ||
| 3 | Linear OA(3123, 141, F3, 65) (dual of [141, 18, 66]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3121, 139, F3, 64) (dual of [139, 18, 65]-code) | [i] | Truncation | |
| 5 | Linear OA(3120, 138, F3, 63) (dual of [138, 18, 64]-code) | [i] | ||
| 6 | Linear OA(3119, 137, F3, 62) (dual of [137, 18, 63]-code) | [i] | ||
| 7 | Linear OA(3117, 135, F3, 60) (dual of [135, 18, 61]-code) | [i] | ||
| 8 | Linear OA(3116, 134, F3, 59) (dual of [134, 18, 60]-code) | [i] | ||
| 9 | Linear OA(3115, 133, F3, 58) (dual of [133, 18, 59]-code) | [i] | ||
| 10 | Linear OA(3114, 132, F3, 57) (dual of [132, 18, 58]-code) | [i] | ||
| 11 | Linear OA(3131, 152, F3, 65) (dual of [152, 21, 66]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OOA(3122, 70, F3, 2, 65) (dual of [(70, 2), 18, 66]-NRT-code) | [i] | OOA Folding | |
| 13 | Linear OOA(3122, 28, F3, 5, 65) (dual of [(28, 5), 18, 66]-NRT-code) | [i] | ||