Information on Result #611696
Linear OA(319, 27, F3, 13) (dual of [27, 8, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 26 = 33−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13
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(319, 27, F3, 12) (dual of [27, 8, 13]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(321, 29, F3, 13) (dual of [29, 8, 14]-code) | [i] | Code Embedding in Larger Space | |
| 3 | Linear OA(3138, 146, F3, 85) (dual of [146, 8, 86]-code) | [i] | Juxtaposition | |
| 4 | Linear OA(357, 78, F3, 26) (dual of [78, 21, 27]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(38, 27, F3, 5) (dual of [27, 19, 6]-code) | [i] | Dual Code (with Bound on d by Construction Y1) | |
| 6 | Linear OA(325, 33, F3, 16) (dual of [33, 8, 17]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 7 | Linear OOA(319, 9, F3, 3, 13) (dual of [(9, 3), 8, 14]-NRT-code) | [i] | OOA Folding | |