Information on Result #610374
Linear OA(370, 72, F3, 53) (dual of [72, 2, 54]-code), using repeating each code word 18 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(370, 72, F3, 52) (dual of [72, 2, 53]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(370, 72, F3, 51) (dual of [72, 2, 52]-code) | [i] | ||
| 3 | Linear OA(370, 72, F3, 50) (dual of [72, 2, 51]-code) | [i] | ||
| 4 | Linear OA(369, 71, F3, 52) (dual of [71, 2, 53]-code) | [i] | Truncation | |
| 5 | Linear OA(368, 70, F3, 51) (dual of [70, 2, 52]-code) | [i] | ||
| 6 | Linear OA(367, 69, F3, 50) (dual of [69, 2, 51]-code) | [i] | ||
| 7 | Linear OA(365, 67, F3, 48) (dual of [67, 2, 49]-code) | [i] | ||
| 8 | Linear OA(364, 66, F3, 47) (dual of [66, 2, 48]-code) | [i] | ||
| 9 | Linear OA(363, 65, F3, 46) (dual of [65, 2, 47]-code) | [i] | ||
| 10 | Linear OA(361, 63, F3, 44) (dual of [63, 2, 45]-code) | [i] | ||
| 11 | Linear OA(360, 62, F3, 43) (dual of [62, 2, 44]-code) | [i] | ||
| 12 | Linear OA(359, 61, F3, 42) (dual of [61, 2, 43]-code) | [i] | ||
| 13 | Linear OOA(370, 36, F3, 2, 53) (dual of [(36, 2), 2, 54]-NRT-code) | [i] | OOA Folding | |
| 14 | Linear OOA(370, 24, F3, 3, 53) (dual of [(24, 3), 2, 54]-NRT-code) | [i] | ||