Information on Result #612393
Linear OA(3149, 156, F3, 56) (dual of [156, 7, 57]-code), using construction X applied to C([0,43]) ⊂ C([1,43]) based on
- linear OA(3137, 143, F3, 56) (dual of [143, 6, 57]-code), using the expurgated narrow-sense BCH-code C(I) with length 143 | 315−1, defining interval I = [0,43], and minimum distance d ≥ |{−10,−9,…,43}|+1 = 57 (BCH-bound) and all weights a multiple of 3 because the code is contained in its dual [i]
- linear OA(3136, 143, F3, 43) (dual of [143, 7, 44]-code), using the narrow-sense BCH-code C(I) with length 143 | 315−1, defining interval I = [1,43], and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(312, 13, F3, 12) (dual of [13, 1, 13]-code or 13-arc in PG(11,3)), using
- dual of repetition code with length 13 [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
None.