Information on Result #631311
Linear OA(3174, 180, F3, 116) (dual of [180, 6, 117]-code), using concatenation of two codes based on
- linear OA(942, 45, F9, 38) (dual of [45, 3, 39]-code), using
- 3 times truncation [i] based on linear OA(945, 48, F9, 41) (dual of [48, 3, 42]-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(3174, 180, F3, 115) (dual of [180, 6, 116]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3174, 180, F3, 114) (dual of [180, 6, 115]-code) | [i] | ||
| 3 | Linear OA(3172, 178, F3, 114) (dual of [178, 6, 115]-code) | [i] | Truncation | |
| 4 | Linear OA(3171, 177, F3, 113) (dual of [177, 6, 114]-code) | [i] | ||
| 5 | Linear OA(3169, 175, F3, 111) (dual of [175, 6, 112]-code) | [i] | ||
| 6 | Linear OA(3168, 174, F3, 110) (dual of [174, 6, 111]-code) | [i] | ||
| 7 | Linear OA(3167, 173, F3, 109) (dual of [173, 6, 110]-code) | [i] | ||
| 8 | Linear OOA(3174, 90, F3, 2, 116) (dual of [(90, 2), 6, 117]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3174, 60, F3, 3, 116) (dual of [(60, 3), 6, 117]-NRT-code) | [i] | ||
| 10 | Linear OOA(3174, 36, F3, 5, 116) (dual of [(36, 5), 6, 117]-NRT-code) | [i] | ||