Information on Result #641024
Linear OA(3141, 146, F3, 95) (dual of [146, 5, 96]-code), using juxtaposition based on
- linear OA(320, 25, F3, 14) (dual of [25, 5, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(320, 26, F3, 14) (dual of [26, 6, 15]-code), using
- contraction [i] based on linear OA(346, 52, F3, 29) (dual of [52, 6, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 52 | 36−1, defining interval I = [0,27], and minimum distance d ≥ |{−1,0,…,27}|+1 = 30 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(320, 26, F3, 14) (dual of [26, 6, 15]-code), 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(3141, 73, F3, 2, 95) (dual of [(73, 2), 5, 96]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3141, 29, F3, 5, 95) (dual of [(29, 5), 4, 96]-NRT-code) | [i] | ||