Information on Result #625300
Linear OA(3143, 156, F3, 81) (dual of [156, 13, 82]-code), using repeating each code word 2 times based on linear OA(365, 78, F3, 40) (dual of [78, 13, 41]-code), using
- discarding factors / shortening the dual code based on linear OA(365, 80, F3, 40) (dual of [80, 15, 41]-code), using
- the primitive narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [1,40], and designed minimum distance d ≥ |I|+1 = 41 [i]
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 34−1, defining interval I = [0,26], and designed minimum distance d ≥ |I|+1 = 41 [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(3143, 78, F3, 2, 81) (dual of [(78, 2), 13, 82]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3143, 52, F3, 3, 81) (dual of [(52, 3), 13, 82]-NRT-code) | [i] | ||
| 3 | Linear OOA(3143, 31, F3, 5, 81) (dual of [(31, 5), 12, 82]-NRT-code) | [i] | ||