Information on Result #618939
Linear OA(6444, 77, F64, 33) (dual of [77, 33, 34]-code), using construction X applied to C([0,16]) ⊂ C([1,16]) based on
- linear OA(6433, 65, F64, 33) (dual of [65, 32, 34]-code or 65-arc in PG(32,64)), using the expurgated narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(6432, 65, F64, 21) (dual of [65, 33, 22]-code), using the narrow-sense BCH-code C(I) with length 65 | 642−1, defining interval I = [1,16], and minimum distance d ≥ |{1,2,…,11}| + |{5,21,37,…,0}∖{−32,17,−31,18,−30,19,−29,20,−28,21}| = 22 (general Roos-bound) [i]
- linear OA(6411, 12, F64, 11) (dual of [12, 1, 12]-code or 12-arc in PG(10,64)), using
- dual of repetition code with length 12 [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.