Information on Result #630756
Linear OA(3119, 159, F3, 43) (dual of [159, 40, 44]-code), using concatenation of two codes based on
- linear OA(933, 53, F9, 21) (dual of [53, 20, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(933, 80, F9, 21) (dual of [80, 47, 22]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 80 = 92−1, defining interval I = [0,20], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(933, 80, F9, 21) (dual of [80, 47, 22]-code), using
- 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
None.