Information on Result #700846
Linear OA(361, 136, F3, 20) (dual of [136, 75, 21]-code), using construction X applied to C({0,1,2,4,5,7,8,10,11,13,40,67}) ⊂ C([0,13]) based on
- linear OA(356, 121, F3, 20) (dual of [121, 65, 21]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {0,1,2,4,5,7,8,10,11,13,40,67}, and minimum distance d ≥ |{−4,−3,…,15}|+1 = 21 (BCH-bound) [i]
- linear OA(346, 121, F3, 16) (dual of [121, 75, 17]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(35, 15, F3, 3) (dual of [15, 10, 4]-code or 15-cap in PG(4,3)), 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 OOA(361, 68, F3, 2, 20) (dual of [(68, 2), 75, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(361, 45, F3, 3, 20) (dual of [(45, 3), 74, 21]-NRT-code) | [i] | ||