Information on Result #736630
Linear OA(3120, 140, F3, 62) (dual of [140, 20, 63]-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(3120, 140, F3, 61) (dual of [140, 20, 62]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3120, 140, F3, 60) (dual of [140, 20, 61]-code) | [i] | ||
| 3 | Linear OA(3121, 141, F3, 62) (dual of [141, 20, 63]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3122, 142, F3, 62) (dual of [142, 20, 63]-code) | [i] | ||
| 5 | Linear OA(3119, 139, F3, 61) (dual of [139, 20, 62]-code) | [i] | Truncation | |
| 6 | Linear OA(3118, 138, F3, 60) (dual of [138, 20, 61]-code) | [i] | ||
| 7 | Linear OA(3117, 137, F3, 59) (dual of [137, 20, 60]-code) | [i] | ||
| 8 | Linear OA(3116, 136, F3, 58) (dual of [136, 20, 59]-code) | [i] | ||
| 9 | Linear OA(3115, 135, F3, 57) (dual of [135, 20, 58]-code) | [i] | ||
| 10 | Linear OA(3114, 134, F3, 56) (dual of [134, 20, 57]-code) | [i] | ||
| 11 | Linear OA(3113, 133, F3, 55) (dual of [133, 20, 56]-code) | [i] | ||
| 12 | Linear OA(3112, 132, F3, 54) (dual of [132, 20, 55]-code) | [i] | ||
| 13 | Linear OA(3111, 131, F3, 53) (dual of [131, 20, 54]-code) | [i] | ||
| 14 | Linear OA(3110, 130, F3, 52) (dual of [130, 20, 53]-code) | [i] | ||
| 15 | Linear OA(3109, 129, F3, 51) (dual of [129, 20, 52]-code) | [i] | ||
| 16 | Linear OA(3129, 153, F3, 62) (dual of [153, 24, 63]-code) | [i] | Varšamov–Edel Lengthening | |
| 17 | Linear OA(3130, 155, F3, 62) (dual of [155, 25, 63]-code) | [i] | ||
| 18 | Linear OA(3131, 157, F3, 62) (dual of [157, 26, 63]-code) | [i] | ||
| 19 | Linear OA(3132, 159, F3, 62) (dual of [159, 27, 63]-code) | [i] | ||
| 20 | Linear OA(3133, 161, F3, 62) (dual of [161, 28, 63]-code) | [i] | ||
| 21 | Linear OA(3125, 146, F3, 62) (dual of [146, 21, 63]-code) | [i] | Construction X with Varšamov Bound | |
| 22 | Linear OA(3127, 149, F3, 62) (dual of [149, 22, 63]-code) | [i] | ||
| 23 | Linear OA(3128, 151, F3, 62) (dual of [151, 23, 63]-code) | [i] | ||
| 24 | Linear OA(3130, 154, F3, 62) (dual of [154, 24, 63]-code) | [i] | ||
| 25 | Linear OOA(3120, 70, F3, 2, 62) (dual of [(70, 2), 20, 63]-NRT-code) | [i] | OOA Folding | |
| 26 | Linear OOA(3120, 46, F3, 3, 62) (dual of [(46, 3), 18, 63]-NRT-code) | [i] | ||
| 27 | Linear OOA(3120, 28, F3, 5, 62) (dual of [(28, 5), 20, 63]-NRT-code) | [i] | ||