Information on Result #738102
Linear OA(3214, 220, F3, 143) (dual of [220, 6, 144]-code), using concatenation of two codes based on
- linear OA(952, 55, F9, 47) (dual of [55, 3, 48]-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(3214, 220, F3, 142) (dual of [220, 6, 143]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3214, 220, F3, 141) (dual of [220, 6, 142]-code) | [i] | ||
| 3 | Linear OA(3213, 219, F3, 142) (dual of [219, 6, 143]-code) | [i] | Truncation | |
| 4 | Linear OA(3212, 218, F3, 141) (dual of [218, 6, 142]-code) | [i] | ||
| 5 | Linear OA(3211, 217, F3, 140) (dual of [217, 6, 141]-code) | [i] | ||
| 6 | Linear OA(3209, 215, F3, 138) (dual of [215, 6, 139]-code) | [i] | ||
| 7 | Linear OA(3208, 214, F3, 137) (dual of [214, 6, 138]-code) | [i] | ||
| 8 | Linear OA(3207, 213, F3, 136) (dual of [213, 6, 137]-code) | [i] | ||
| 9 | Linear OA(3206, 212, F3, 135) (dual of [212, 6, 136]-code) | [i] | ||
| 10 | Linear OOA(3214, 110, F3, 2, 143) (dual of [(110, 2), 6, 144]-NRT-code) | [i] | OOA Folding | |
| 11 | Linear OOA(3214, 44, F3, 5, 143) (dual of [(44, 5), 6, 144]-NRT-code) | [i] | ||