Information on Result #641000
Linear OA(3121, 126, F3, 81) (dual of [126, 5, 82]-code), using juxtaposition based on
- linear OA(30, 5, F3, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(30, s, F3, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- linear OA(3116, 121, F3, 80) (dual of [121, 5, 81]-code), using
- Simplex code S(5,3) [i]
- the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,75], and minimum distance d ≥ |{5,15,25,…,−52}|+1 = 81 (BCH-bound) [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 OOA(3121, 63, F3, 2, 81) (dual of [(63, 2), 5, 82]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3121, 42, F3, 3, 81) (dual of [(42, 3), 5, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(3121, 25, F3, 5, 81) (dual of [(25, 5), 4, 82]-NRT-code) | [i] | ||