Information on Result #738129
Linear OA(3181, 188, F3, 117) (dual of [188, 7, 118]-code), using juxtaposition based on
- linear OA(369, 76, F3, 45) (dual of [76, 7, 46]-code), using
- 5 times truncation [i] based on linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
- an extension Ce(49) of the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- 5 times truncation [i] based on linear OA(374, 81, F3, 50) (dual of [81, 7, 51]-code), using
- linear OA(3105, 112, F3, 71) (dual of [112, 7, 72]-code), using
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(3181, 188, F3, 116) (dual of [188, 7, 117]-code) | [i] | Strength Reduction | |
| 2 | Linear OOA(3181, 94, F3, 2, 117) (dual of [(94, 2), 7, 118]-NRT-code) | [i] | OOA Folding | |