Information on Result #700863
Linear OA(360, 132, F3, 20) (dual of [132, 72, 21]-code), using construction X applied to C({1,5,7,11,13,16,17,19,25,31,35}) ⊂ C({1,5,7,11,13,16,17,19,25}) based on
- linear OA(355, 121, F3, 20) (dual of [121, 66, 21]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,5,7,11,13,16,17,19,25,31,35}, and minimum distance d ≥ |{1,3,5,…,39}|+1 = 21 (BCH-bound) [i]
- linear OA(345, 121, F3, 15) (dual of [121, 76, 16]-code), using the cyclic code C(A) with length 121 | 35−1, defining set A = {1,5,7,11,13,16,17,19,25}, and minimum distance d ≥ |{1,3,5,…,29}|+1 = 16 (BCH-bound) [i]
- linear OA(35, 11, F3, 4) (dual of [11, 6, 5]-code), using
- Golay code G(3) [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(360, 66, F3, 2, 20) (dual of [(66, 2), 72, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(360, 44, F3, 3, 20) (dual of [(44, 3), 72, 21]-NRT-code) | [i] | ||