Information on Result #1017689
Linear OOA(6429, 2734, F64, 3, 11) (dual of [(2734, 3), 8173, 12]-NRT-code), using (u, u+v)-construction based on
- linear OOA(647, 2016, F64, 3, 5) (dual of [(2016, 3), 6041, 6]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OA(647, 4033, F64, 5) (dual of [4033, 4026, 6]-code), using
- linear OOA(6422, 1367, F64, 3, 11) (dual of [(1367, 3), 4079, 12]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6422, 4101, F64, 11) (dual of [4101, 4079, 12]-code), using
- discarding factors / shortening the dual code based on linear OA(6422, 4102, F64, 11) (dual of [4102, 4080, 12]-code), using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- linear OA(6421, 4097, F64, 11) (dual of [4097, 4076, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(6417, 4097, F64, 9) (dual of [4097, 4080, 10]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,4], and minimum distance d ≥ |{−4,−3,…,4}|+1 = 10 (BCH-bound) [i]
- linear OA(641, 5, F64, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(641, s, F64, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,5]) ⊂ C([0,4]) [i] based on
- discarding factors / shortening the dual code based on linear OA(6422, 4102, F64, 11) (dual of [4102, 4080, 12]-code), using
- OOA 3-folding [i] based on linear OA(6422, 4101, F64, 11) (dual of [4101, 4079, 12]-code), 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.
Other Results with Identical Parameters
None.
Depending Results
None.