Information on Result #3258045
Digital (157, 184, 20166)-net over F4, using 42 times duplication based on digital (155, 182, 20166)-net over F4, using
- net defined by OOA [i] based on linear OOA(4182, 20166, F4, 27, 27) (dual of [(20166, 27), 544300, 28]-NRT-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4182, 262159, F4, 27) (dual of [262159, 261977, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(4182, 262164, F4, 27) (dual of [262164, 261982, 28]-code), using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- linear OA(4181, 262145, F4, 27) (dual of [262145, 261964, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
- linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- linear OA(41, 19, F4, 1) (dual of [19, 18, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,13]) ⊂ C([0,12]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4182, 262164, F4, 27) (dual of [262164, 261982, 28]-code), using
- OOA 13-folding and stacking with additional row [i] based on linear OA(4182, 262159, F4, 27) (dual of [262159, 261977, 28]-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.