Information on Result #738073
Linear OA(3142, 156, F3, 80) (dual of [156, 14, 81]-code), using concatenation of two codes based on
- linear OA(932, 39, F9, 26) (dual of [39, 7, 27]-code), using
- discarding factors / shortening the dual code based on linear OA(932, 40, F9, 26) (dual of [40, 8, 27]-code), using
- 1 times truncation [i] based on linear OA(933, 41, F9, 27) (dual of [41, 8, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(932, 40, F9, 26) (dual of [40, 8, 27]-code), using
- linear OA(32, 4, F3, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reed–Solomon code RSe(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [i]
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(3141, 155, F3, 79) (dual of [155, 14, 80]-code) | [i] | Truncation | |
| 2 | Linear OA(3140, 154, F3, 78) (dual of [154, 14, 79]-code) | [i] | ||
| 3 | Linear OOA(3142, 78, F3, 2, 80) (dual of [(78, 2), 14, 81]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(3142, 52, F3, 3, 80) (dual of [(52, 3), 14, 81]-NRT-code) | [i] | ||
| 5 | Linear OOA(3142, 31, F3, 5, 80) (dual of [(31, 5), 13, 81]-NRT-code) | [i] | ||