Information on Result #610386
Linear OA(322, 24, F3, 17) (dual of [24, 2, 18]-code), using repeating each code word 6 times 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(321, 23, F3, 16) (dual of [23, 2, 17]-code) | [i] | Truncation | |
| 2 | Linear OA(320, 22, F3, 15) (dual of [22, 2, 16]-code) | [i] | ||
| 3 | Linear OA(3158, 753, F3, 35) (dual of [753, 595, 36]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3184, 2211, F3, 35) (dual of [2211, 2027, 36]-code) | [i] | ||
| 5 | Linear OA(3230, 19707, F3, 35) (dual of [19707, 19477, 36]-code) | [i] | ||
| 6 | Linear OA(3152, 753, F3, 34) (dual of [753, 601, 35]-code) | [i] | ||
| 7 | Linear OA(3133, 145, F3, 71) (dual of [145, 12, 72]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 8 | Linear OA(3229, 263, F3, 115) (dual of [263, 34, 116]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OA(3230, 264, F3, 116) (dual of [264, 34, 117]-code) | [i] | ||
| 10 | Linear OA(3232, 266, F3, 117) (dual of [266, 34, 118]-code) | [i] | ||
| 11 | Linear OA(3242, 275, F3, 123) (dual of [275, 33, 124]-code) | [i] | ||
| 12 | Linear OA(3243, 277, F3, 123) (dual of [277, 34, 124]-code) | [i] | ||
| 13 | Linear OOA(322, 12, F3, 2, 17) (dual of [(12, 2), 2, 18]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(322, 8, F3, 3, 17) (dual of [(8, 3), 2, 18]-NRT-code) | [i] | ||