Information on Result #1182014
Digital (196, 217, 209718)-net over F2, using net defined by OOA based on linear OOA(2217, 209718, F2, 21, 21) (dual of [(209718, 21), 4403861, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(2217, 2097181, F2, 21) (dual of [2097181, 2096964, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2217, 2097185, F2, 21) (dual of [2097185, 2096968, 22]-code), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- linear OA(2211, 2097153, F2, 21) (dual of [2097153, 2096942, 22]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,10], and minimum distance d ≥ |{−10,−9,…,10}|+1 = 22 (BCH-bound) [i]
- linear OA(2169, 2097153, F2, 17) (dual of [2097153, 2096984, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 2097153 | 242−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to C([0,10]) ⊂ C([0,8]) [i] based on
- discarding factors / shortening the dual code based on linear OA(2217, 2097185, F2, 21) (dual of [2097185, 2096968, 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.