Information on Result #619009
Linear OA(6451, 76, F64, 41) (dual of [76, 25, 42]-code), using construction X applied to C([0,20]) ⊂ C([1,20]) based on
- linear OA(6441, 65, F64, 41) (dual of [65, 24, 42]-code or 65-arc in PG(40,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,20], and minimum distance d ≥ |{−20,−19,…,20}|+1 = 42 (BCH-bound) [i]
- linear OA(6440, 65, F64, 30) (dual of [65, 25, 31]-code), using the narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [1,20], and minimum distance d ≥ |{1,2,…,11}| + |{0,22,44,…,−12}∖{22,23,24,25,26,27,28,29,30,31}| = 31 (general Roos-bound) [i]
- linear OA(6410, 11, F64, 10) (dual of [11, 1, 11]-code or 11-arc in PG(9,64)), using
- dual of repetition code with length 11 [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.