Information on Result #2227102
Linear OA(316, 18, F3, 12) (dual of [18, 2, 13]-code), using 2 times truncation based on linear OA(318, 20, F3, 14) (dual of [20, 2, 15]-code), using
- repeating each code word 5 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(3212, 246, F3, 104) (dual of [246, 34, 105]-code) | [i] | Construction X with Varšamov Bound | |
| 2 | Linear OA(3213, 247, F3, 105) (dual of [247, 34, 106]-code) | [i] | ||
| 3 | Linear OOA(316, 9, F3, 2, 12) (dual of [(9, 2), 2, 13]-NRT-code) | [i] | OOA Folding | |
| 4 | Linear OOA(316, 6, F3, 3, 12) (dual of [(6, 3), 2, 13]-NRT-code) | [i] | ||