Information on Result #3258563
Digital (179, 214, 3856)-net over F4, using 44 times duplication based on digital (175, 210, 3856)-net over F4, using
- net defined by OOA [i] based on linear OOA(4210, 3856, F4, 35, 35) (dual of [(3856, 35), 134750, 36]-NRT-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(4210, 65553, F4, 35) (dual of [65553, 65343, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(4210, 65554, F4, 35) (dual of [65554, 65344, 36]-code), using
- construction X applied to C([0,17]) ⊂ C([0,16]) [i] based on
- linear OA(4209, 65537, F4, 35) (dual of [65537, 65328, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
- linear OA(4193, 65537, F4, 33) (dual of [65537, 65344, 34]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 416−1, defining interval I = [0,16], and minimum distance d ≥ |{−16,−15,…,16}|+1 = 34 (BCH-bound) [i]
- linear OA(41, 17, F4, 1) (dual of [17, 16, 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([0,17]) ⊂ C([0,16]) [i] based on
- discarding factors / shortening the dual code based on linear OA(4210, 65554, F4, 35) (dual of [65554, 65344, 36]-code), using
- OOA 17-folding and stacking with additional row [i] based on linear OA(4210, 65553, F4, 35) (dual of [65553, 65343, 36]-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.