Information on Result #618100
Linear OA(3217, 38, F32, 13) (dual of [38, 21, 14]-code), using construction X applied to C([0,6]) ⊂ C([1,6]) based on
- linear OA(3213, 33, F32, 13) (dual of [33, 20, 14]-code or 33-arc in PG(12,32)), using the expurgated narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- linear OA(3212, 33, F32, 8) (dual of [33, 21, 9]-code), using the narrow-sense BCH-code C(I) with length 33 | 322−1, defining interval I = [1,6], and minimum distance d ≥ |{2,3,4,5,6}| + |{0,13,26,…,−8}∖{13,6,−14,12}| = 9 (general Roos-bound) [i]
- linear OA(324, 5, F32, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,32)), using
- dual of repetition code with length 5 [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.
Other Results with Identical Parameters
None.
Depending Results
None.