Information on Result #738081
Linear OA(3170, 180, F3, 104) (dual of [180, 10, 105]-code), using concatenation of two codes based on
- linear OA(940, 45, F9, 34) (dual of [45, 5, 35]-code), using
- 3 times truncation [i] based on linear OA(943, 48, F9, 37) (dual of [48, 5, 38]-code), using
- 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(3170, 180, F3, 103) (dual of [180, 10, 104]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3170, 180, F3, 102) (dual of [180, 10, 103]-code) | [i] | ||
| 3 | Linear OA(3169, 179, F3, 103) (dual of [179, 10, 104]-code) | [i] | Truncation | |
| 4 | Linear OA(3168, 178, F3, 102) (dual of [178, 10, 103]-code) | [i] | ||
| 5 | Linear OA(3167, 177, F3, 101) (dual of [177, 10, 102]-code) | [i] | ||
| 6 | Linear OA(3165, 175, F3, 99) (dual of [175, 10, 100]-code) | [i] | ||
| 7 | Linear OA(3164, 174, F3, 98) (dual of [174, 10, 99]-code) | [i] | ||
| 8 | Linear OA(3163, 173, F3, 97) (dual of [173, 10, 98]-code) | [i] | ||
| 9 | Linear OA(3162, 172, F3, 96) (dual of [172, 10, 97]-code) | [i] | ||
| 10 | Linear OOA(3170, 90, F3, 2, 104) (dual of [(90, 2), 10, 105]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(3170, 60, F3, 3, 104) (dual of [(60, 3), 10, 105]-NRT-code) | [i] | ||
| 12 | Linear OOA(3170, 36, F3, 5, 104) (dual of [(36, 5), 10, 105]-NRT-code) | [i] | ||