Information on Result #2228491
Linear OA(396, 116, F3, 51) (dual of [116, 20, 52]-code), using 5 times truncation based on linear OA(3101, 121, F3, 56) (dual of [121, 20, 57]-code), using
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(3102, 122, F3, 51) (dual of [122, 20, 52]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3103, 123, F3, 51) (dual of [123, 20, 52]-code) | [i] | ||
| 3 | Linear OA(3104, 124, F3, 51) (dual of [124, 20, 52]-code) | [i] | ||
| 4 | Linear OA(3105, 125, F3, 51) (dual of [125, 20, 52]-code) | [i] | ||
| 5 | Linear OA(3109, 134, F3, 51) (dual of [134, 25, 52]-code) | [i] | Varšamov–Edel Lengthening | |
| 6 | Linear OA(3110, 136, F3, 51) (dual of [136, 26, 52]-code) | [i] | ||
| 7 | Linear OA(3111, 138, F3, 51) (dual of [138, 27, 52]-code) | [i] | ||
| 8 | Linear OA(3102, 123, F3, 51) (dual of [123, 21, 52]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OA(3106, 128, F3, 51) (dual of [128, 22, 52]-code) | [i] | ||
| 10 | Linear OA(3107, 130, F3, 51) (dual of [130, 23, 52]-code) | [i] | ||
| 11 | Linear OA(3105, 128, F3, 50) (dual of [128, 23, 51]-code) | [i] | ||
| 12 | Linear OA(3109, 133, F3, 51) (dual of [133, 24, 52]-code) | [i] | ||
| 13 | Linear OA(3106, 130, F3, 50) (dual of [130, 24, 51]-code) | [i] | ||
| 14 | Linear OOA(396, 58, F3, 2, 51) (dual of [(58, 2), 20, 52]-NRT-code) | [i] | OOA Folding | |
| 15 | Linear OOA(396, 38, F3, 3, 51) (dual of [(38, 3), 18, 52]-NRT-code) | [i] | ||