Information on Result #3248663
Digital (22, 38, 8194)-net over F256, using t-expansion based on digital (21, 38, 8194)-net over F256, using
- net defined by OOA [i] based on linear OOA(25638, 8194, F256, 17, 17) (dual of [(8194, 17), 139260, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(25638, 65553, F256, 17) (dual of [65553, 65515, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(25638, 65554, F256, 17) (dual of [65554, 65516, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(25633, 65537, F256, 17) (dual of [65537, 65504, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(25621, 65537, F256, 11) (dual of [65537, 65516, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537 | 2564−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(2565, 17, F256, 5) (dual of [17, 12, 6]-code or 17-arc in PG(4,256)), using
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- Reed–Solomon code RS(251,256) [i]
- discarding factors / shortening the dual code based on linear OA(2565, 256, F256, 5) (dual of [256, 251, 6]-code or 256-arc in PG(4,256)), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- discarding factors / shortening the dual code based on linear OA(25638, 65554, F256, 17) (dual of [65554, 65516, 18]-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(25638, 65553, F256, 17) (dual of [65553, 65515, 18]-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.