Information on Result #612253
Linear OA(3102, 123, F3, 41) (dual of [123, 21, 42]-code), using construction X applied to C([0,39]) ⊂ C([1,39]) based on
- linear OA(3101, 121, F3, 41) (dual of [121, 20, 42]-code), using the expurgated narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [0,39], and designed minimum distance d ≥ |I|+1 = 41 and all weights a multiple of 3 because the code is contained in its dual [i]
- linear OA(3100, 121, F3, 39) (dual of [121, 21, 40]-code), using the narrow-sense BCH-code C(I) with length 121 | 35−1, defining interval I = [1,39], and designed minimum distance d ≥ |I|+1 = 40 [i]
- linear OA(31, 2, F3, 1) (dual of [2, 1, 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.