Information on Result #738071
Linear OA(3132, 140, F3, 83) (dual of [140, 8, 84]-code), using concatenation of two codes based on
- linear OA(931, 35, F9, 27) (dual of [35, 4, 28]-code), using
- 5 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(3132, 140, F3, 82) (dual of [140, 8, 83]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(3131, 139, F3, 82) (dual of [139, 8, 83]-code) | [i] | Truncation | |
| 3 | Linear OA(3130, 138, F3, 81) (dual of [138, 8, 82]-code) | [i] | ||
| 4 | Linear OOA(3132, 70, F3, 2, 83) (dual of [(70, 2), 8, 84]-NRT-code) | [i] | OOA Folding | |
| 5 | Linear OOA(3132, 28, F3, 5, 83) (dual of [(28, 5), 8, 84]-NRT-code) | [i] | ||