Information on Result #631061
Linear OA(3199, 243, F3, 85) (dual of [243, 44, 86]-code), using concatenation of two codes based on
- linear OA(959, 81, F9, 42) (dual of [81, 22, 43]-code), using
- an extension Ce(41) of the primitive narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [1,41], and designed minimum distance d ≥ |I|+1 = 42 [i]
- linear OA(31, 3, F3, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(31, s, F3, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3199, 81, F3, 3, 85) (dual of [(81, 3), 44, 86]-NRT-code) | [i] | OOA Folding |