Information on Result #610388
Linear OA(314, 16, F3, 11) (dual of [16, 2, 12]-code), using repeating each code word 4 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(313, 15, F3, 10) (dual of [15, 2, 11]-code) | [i] | Truncation | |
| 2 | Linear OA(312, 14, F3, 9) (dual of [14, 2, 10]-code) | [i] | ||
| 3 | Linear OA(3120, 2203, F3, 23) (dual of [2203, 2083, 24]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3150, 19699, F3, 23) (dual of [19699, 19549, 24]-code) | [i] | ||
| 5 | Linear OA(3165, 59065, F3, 23) (dual of [59065, 58900, 24]-code) | [i] | ||
| 6 | Linear OA(3180, 177163, F3, 23) (dual of [177163, 176983, 24]-code) | [i] | ||
| 7 | Linear OA(3195, 531457, F3, 23) (dual of [531457, 531262, 24]-code) | [i] | ||
| 8 | Linear OA(3210, 1594339, F3, 23) (dual of [1594339, 1594129, 24]-code) | [i] | ||
| 9 | Linear OA(3225, 4782985, F3, 23) (dual of [4782985, 4782760, 24]-code) | [i] | ||
| 10 | Linear OA(3246, 259, F3, 146) (dual of [259, 13, 147]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 11 | Linear OA(3125, 137, F3, 65) (dual of [137, 12, 66]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 12 | Linear OA(3208, 242, F3, 102) (dual of [242, 34, 103]-code) | [i] | Construction X with Varšamov Bound | |
| 13 | Linear OA(3209, 243, F3, 103) (dual of [243, 34, 104]-code) | [i] | ||
| 14 | Linear OA(3211, 245, F3, 104) (dual of [245, 34, 105]-code) | [i] | ||
| 15 | Linear OOA(314, 8, F3, 2, 11) (dual of [(8, 2), 2, 12]-NRT-code) | [i] | OOA Folding | |