Information on Result #2227099
Linear OA(312, 14, F3, 9) (dual of [14, 2, 10]-code), using 2 times truncation based on linear OA(314, 16, F3, 11) (dual of [16, 2, 12]-code), using
- repeating each code word 4 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(378, 96, F3, 39) (dual of [96, 18, 40]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(379, 97, F3, 40) (dual of [97, 18, 41]-code) | [i] | ||
| 3 | Linear OA(3176, 198, F3, 90) (dual of [198, 22, 91]-code) | [i] | ||
| 4 | Linear OA(3177, 199, F3, 91) (dual of [199, 22, 92]-code) | [i] | ||
| 5 | Linear OA(3202, 236, F3, 98) (dual of [236, 34, 99]-code) | [i] | ||
| 6 | Linear OA(3203, 237, F3, 99) (dual of [237, 34, 100]-code) | [i] | ||
| 7 | Linear OA(3125, 147, F3, 62) (dual of [147, 22, 63]-code) | [i] | ||
| 8 | Linear OOA(312, 7, F3, 2, 9) (dual of [(7, 2), 2, 10]-NRT-code) | [i] | OOA Folding | |