Information on Result #2227107
Linear OA(321, 23, F3, 16) (dual of [23, 2, 17]-code), using 1 times truncation based on linear OA(322, 24, F3, 17) (dual of [24, 2, 18]-code), using
- repeating each code word 6 times [i] based on 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(3150, 751, F3, 33) (dual of [751, 601, 34]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3145, 752, F3, 32) (dual of [752, 607, 33]-code) | [i] | ||
| 3 | Linear OA(3226, 260, F3, 113) (dual of [260, 34, 114]-code) | [i] | Construction X with Varšamov Bound | |
| 4 | Linear OA(3227, 261, F3, 114) (dual of [261, 34, 115]-code) | [i] | ||
| 5 | Linear OA(3249, 282, F3, 126) (dual of [282, 33, 127]-code) | [i] | ||
| 6 | Linear OA(3250, 283, F3, 127) (dual of [283, 33, 128]-code) | [i] | ||
| 7 | Linear OA(3250, 284, F3, 126) (dual of [284, 34, 127]-code) | [i] | ||