Information on Result #1190700
Digital (75, 92, 14710)-net over F7, using net defined by OOA based on linear OOA(792, 14710, F7, 17, 17) (dual of [(14710, 17), 249978, 18]-NRT-code), using
- OOA 8-folding and stacking with additional row [i] based on linear OA(792, 117681, F7, 17) (dual of [117681, 117589, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
- linear OA(785, 117650, F7, 17) (dual of [117650, 117565, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(761, 117650, F7, 11) (dual of [117650, 117589, 12]-code), using the expurgated narrow-sense BCH-code C(I) with length 117650 | 712−1, defining interval I = [0,5], and minimum distance d ≥ |{−5,−4,…,5}|+1 = 12 (BCH-bound) [i]
- linear OA(77, 31, F7, 5) (dual of [31, 24, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(77, 43, F7, 5) (dual of [43, 36, 6]-code), using
- construction X applied to C([0,8]) ⊂ C([0,5]) [i] based on
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.