Information on Result #2227152
Linear OA(329, 35, F3, 19) (dual of [35, 6, 20]-code), using 1 times truncation based on linear OA(330, 36, F3, 20) (dual of [36, 6, 21]-code), using
- concatenation of two codes [i] based on
- linear OA(96, 9, F9, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,9)), using
- Reed–Solomon code RS(3,9) [i]
- 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]
- linear OA(96, 9, F9, 6) (dual of [9, 3, 7]-code or 9-arc in PG(5,9)), 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(3240, 278, F3, 115) (dual of [278, 38, 116]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(3240, 277, F3, 116) (dual of [277, 37, 117]-code) | [i] | ||
| 3 | Linear OA(3241, 279, F3, 116) (dual of [279, 38, 117]-code) | [i] | ||
| 4 | Linear OA(3241, 278, F3, 117) (dual of [278, 37, 118]-code) | [i] | ||
| 5 | Linear OOA(329, 17, F3, 2, 19) (dual of [(17, 2), 5, 20]-NRT-code) | [i] | OOA Folding | |
| 6 | Linear OOA(329, 11, F3, 3, 19) (dual of [(11, 3), 4, 20]-NRT-code) | [i] | ||