Information on Result #2229698
Linear OA(389, 241, F3, 29) (dual of [241, 152, 30]-code), using 2 times truncation based on linear OA(391, 243, F3, 31) (dual of [243, 152, 32]-code), using
- an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 242 = 35−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [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(392, 244, F3, 29) (dual of [244, 152, 30]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OA(3103, 256, F3, 29) (dual of [256, 153, 30]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(393, 248, F3, 29) (dual of [248, 155, 30]-code) | [i] | Varšamov–Edel Lengthening | |
| 4 | Linear OA(395, 256, F3, 29) (dual of [256, 161, 30]-code) | [i] | ||
| 5 | Linear OA(396, 262, F3, 29) (dual of [262, 166, 30]-code) | [i] | ||
| 6 | Linear OA(397, 270, F3, 29) (dual of [270, 173, 30]-code) | [i] | ||
| 7 | Linear OA(398, 279, F3, 29) (dual of [279, 181, 30]-code) | [i] | ||
| 8 | Linear OA(392, 245, F3, 29) (dual of [245, 153, 30]-code) | [i] | Construction X with Varšamov Bound | |
| 9 | Linear OOA(389, 120, F3, 2, 29) (dual of [(120, 2), 151, 30]-NRT-code) | [i] | OOA Folding | |
| 10 | Linear OOA(389, 80, F3, 3, 29) (dual of [(80, 3), 151, 30]-NRT-code) | [i] | ||