Information on Result #640964
Linear OA(3101, 108, F3, 65) (dual of [108, 7, 66]-code), using juxtaposition based on
- linear OA(320, 27, F3, 14) (dual of [27, 7, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- 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]
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(3101, 108, F3, 64) (dual of [108, 7, 65]-code) | [i] | Strength Reduction | |