Information on Result #738074
Linear OA(3140, 148, F3, 89) (dual of [148, 8, 90]-code), using concatenation of two codes based on
- linear OA(933, 37, F9, 29) (dual of [37, 4, 30]-code), using
- 3 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(3140, 148, F3, 88) (dual of [148, 8, 89]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3140, 148, F3, 87) (dual of [148, 8, 88]-code) | [i] | ||
| 3 | Linear OA(3139, 147, F3, 88) (dual of [147, 8, 89]-code) | [i] | Truncation | |
| 4 | Linear OA(3138, 146, F3, 87) (dual of [146, 8, 88]-code) | [i] | ||
| 5 | Linear OA(3137, 145, F3, 86) (dual of [145, 8, 87]-code) | [i] | ||
| 6 | Linear OA(3135, 143, F3, 84) (dual of [143, 8, 85]-code) | [i] | ||
| 7 | Linear OOA(3140, 74, F3, 2, 89) (dual of [(74, 2), 8, 90]-NRT-code) | [i] | OOA Folding | |
| 8 | Linear OOA(3140, 49, F3, 3, 89) (dual of [(49, 3), 7, 90]-NRT-code) | [i] | ||