Information on Result #738072
Linear OA(3136, 144, F3, 86) (dual of [144, 8, 87]-code), using concatenation of two codes based on
- linear OA(932, 36, F9, 28) (dual of [36, 4, 29]-code), using
- 4 times truncation [i] based on linear OA(936, 40, F9, 32) (dual of [40, 4, 33]-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(3136, 144, F3, 85) (dual of [144, 8, 86]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3136, 144, F3, 84) (dual of [144, 8, 85]-code) | [i] | ||
| 3 | Linear OA(3135, 143, F3, 85) (dual of [143, 8, 86]-code) | [i] | Truncation | |
| 4 | Linear OA(3134, 142, F3, 84) (dual of [142, 8, 85]-code) | [i] | ||
| 5 | Linear OA(3133, 141, F3, 83) (dual of [141, 8, 84]-code) | [i] | ||
| 6 | Linear OA(3131, 139, F3, 81) (dual of [139, 8, 82]-code) | [i] | ||
| 7 | Linear OOA(3136, 72, F3, 2, 86) (dual of [(72, 2), 8, 87]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3136, 48, F3, 3, 86) (dual of [(48, 3), 8, 87]-NRT-code) | [i] | ||