Information on Result #1714366
Digital (204, 223, 3051590)-net over F3, using net defined by OOA based on linear OOA(3223, 3051590, F3, 25, 19) (dual of [(3051590, 25), 76289527, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3223, 6103181, F3, 5, 19) (dual of [(6103181, 5), 30515682, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3223, 6103182, F3, 5, 19) (dual of [(6103182, 5), 30515687, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3223, 6103182, F3, 19) (dual of [6103182, 6102959, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3223, large, F3, 19) (dual of [large, large−223, 20]-code), using
- 42 times code embedding in larger space [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- 42 times code embedding in larger space [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3223, large, F3, 19) (dual of [large, large−223, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3223, 6103182, F3, 19) (dual of [6103182, 6102959, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(3223, 6103182, F3, 5, 19) (dual of [(6103182, 5), 30515687, 20]-NRT-code), using
Mode: 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.