Information on Result #3261854
Digital (66, 87, 820)-net over F8, using 83 times duplication based on digital (63, 84, 820)-net over F8, using
- net defined by OOA [i] based on linear OOA(884, 820, F8, 21, 21) (dual of [(820, 21), 17136, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(884, 8201, F8, 21) (dual of [8201, 8117, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(884, 8204, F8, 21) (dual of [8204, 8120, 22]-code), using
- trace code [i] based on linear OA(6442, 4102, F64, 21) (dual of [4102, 4060, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,9]) [i] based on
- linear OA(6441, 4097, F64, 21) (dual of [4097, 4056, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(6437, 4097, F64, 19) (dual of [4097, 4060, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 4097 | 644−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (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([0,10]) ⊂ C([0,9]) [i] based on
- trace code [i] based on linear OA(6442, 4102, F64, 21) (dual of [4102, 4060, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(884, 8204, F8, 21) (dual of [8204, 8120, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(884, 8201, F8, 21) (dual of [8201, 8117, 22]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.