Information on Result #610387
Linear OA(318, 20, F3, 14) (dual of [20, 2, 15]-code), using repeating each code word 5 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(317, 19, F3, 13) (dual of [19, 2, 14]-code) | [i] | Truncation | |
| 2 | Linear OA(316, 18, F3, 12) (dual of [18, 2, 13]-code) | [i] | ||
| 3 | Linear OA(3130, 749, F3, 29) (dual of [749, 619, 30]-code) | [i] | (u, u+v)-Construction | |
| 4 | Linear OA(3152, 2207, F3, 29) (dual of [2207, 2055, 30]-code) | [i] | ||
| 5 | Linear OA(3190, 19703, F3, 29) (dual of [19703, 19513, 30]-code) | [i] | ||
| 6 | Linear OA(3209, 59069, F3, 29) (dual of [59069, 58860, 30]-code) | [i] | ||
| 7 | Linear OA(3228, 177167, F3, 29) (dual of [177167, 176939, 30]-code) | [i] | ||
| 8 | Linear OA(3247, 531461, F3, 29) (dual of [531461, 531214, 30]-code) | [i] | ||
| 9 | Linear OA(3250, 263, F3, 149) (dual of [263, 13, 150]-code) | [i] | Construction X with Extended Narrow-Sense BCH Codes | |
| 10 | Linear OA(3129, 141, F3, 68) (dual of [141, 12, 69]-code) | [i] | Construction X with De Boer–Brouwer Codes | |
| 11 | Linear OA(3218, 252, F3, 108) (dual of [252, 34, 109]-code) | [i] | Construction X with Varšamov Bound | |
| 12 | Linear OA(3219, 253, F3, 109) (dual of [253, 34, 110]-code) | [i] | ||
| 13 | Linear OA(3221, 255, F3, 110) (dual of [255, 34, 111]-code) | [i] | ||
| 14 | Linear OA(3222, 256, F3, 111) (dual of [256, 34, 112]-code) | [i] | ||
| 15 | Linear OOA(318, 10, F3, 2, 14) (dual of [(10, 2), 2, 15]-NRT-code) | [i] | OOA Folding | |