Information on Result #738101
Linear OA(3212, 220, F3, 137) (dual of [220, 8, 138]-code), using concatenation of two codes based on
- linear OA(951, 55, F9, 45) (dual of [55, 4, 46]-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(3212, 220, F3, 136) (dual of [220, 8, 137]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3212, 220, F3, 135) (dual of [220, 8, 136]-code) | [i] | ||
| 3 | Linear OA(3213, 221, F3, 137) (dual of [221, 8, 138]-code) | [i] | Code Embedding in Larger Space | |
| 4 | Linear OA(3214, 222, F3, 137) (dual of [222, 8, 138]-code) | [i] | ||
| 5 | Linear OA(3215, 223, F3, 137) (dual of [223, 8, 138]-code) | [i] | ||
| 6 | Linear OA(3211, 219, F3, 136) (dual of [219, 8, 137]-code) | [i] | Truncation | |
| 7 | Linear OA(3210, 218, F3, 135) (dual of [218, 8, 136]-code) | [i] | ||
| 8 | Linear OA(3209, 217, F3, 134) (dual of [217, 8, 135]-code) | [i] | ||
| 9 | Linear OA(3207, 215, F3, 132) (dual of [215, 8, 133]-code) | [i] | ||
| 10 | Linear OA(3206, 214, F3, 131) (dual of [214, 8, 132]-code) | [i] | ||
| 11 | Linear OA(3205, 213, F3, 130) (dual of [213, 8, 131]-code) | [i] | ||
| 12 | Linear OA(3203, 211, F3, 128) (dual of [211, 8, 129]-code) | [i] | ||
| 13 | Linear OA(3202, 210, F3, 127) (dual of [210, 8, 128]-code) | [i] | ||
| 14 | Linear OA(3201, 209, F3, 126) (dual of [209, 8, 127]-code) | [i] | ||
| 15 | Linear OOA(3212, 110, F3, 2, 137) (dual of [(110, 2), 8, 138]-NRT-code) | [i] | OOA Folding | |
| 16 | Linear OOA(3212, 44, F3, 5, 137) (dual of [(44, 5), 8, 138]-NRT-code) | [i] | ||