Information on Result #738097
Linear OA(3206, 216, F3, 128) (dual of [216, 10, 129]-code), using concatenation of two codes based on
- linear OA(949, 54, F9, 42) (dual of [54, 5, 43]-code), using
- 1 times truncation [i] based on linear OA(950, 55, F9, 43) (dual of [55, 5, 44]-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(3206, 216, F3, 127) (dual of [216, 10, 128]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3205, 215, F3, 127) (dual of [215, 10, 128]-code) | [i] | Truncation | |
| 3 | Linear OA(3204, 214, F3, 126) (dual of [214, 10, 127]-code) | [i] | ||
| 4 | Linear OA(3203, 213, F3, 125) (dual of [213, 10, 126]-code) | [i] | ||
| 5 | Linear OA(3201, 211, F3, 123) (dual of [211, 10, 124]-code) | [i] | ||
| 6 | Linear OA(3200, 210, F3, 122) (dual of [210, 10, 123]-code) | [i] | ||
| 7 | Linear OA(3199, 209, F3, 121) (dual of [209, 10, 122]-code) | [i] | ||
| 8 | Linear OOA(3206, 108, F3, 2, 128) (dual of [(108, 2), 10, 129]-NRT-code) | [i] | OOA Folding | |
| 9 | Linear OOA(3206, 72, F3, 3, 128) (dual of [(72, 3), 10, 129]-NRT-code) | [i] | ||
| 10 | Linear OOA(3206, 43, F3, 5, 128) (dual of [(43, 5), 9, 129]-NRT-code) | [i] | ||