Information on Result #1714364
Digital (203, 222, 2860620)-net over F3, using net defined by OOA based on linear OOA(3222, 2860620, F3, 25, 19) (dual of [(2860620, 25), 71515278, 20]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3222, 5721241, F3, 5, 19) (dual of [(5721241, 5), 28605983, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3222, 5721242, F3, 5, 19) (dual of [(5721242, 5), 28605988, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3222, 5721242, F3, 19) (dual of [5721242, 5721020, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(3222, large, F3, 19) (dual of [large, large−222, 20]-code), using
- 41 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]
- 41 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(3222, large, F3, 19) (dual of [large, large−222, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3222, 5721242, F3, 19) (dual of [5721242, 5721020, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(3222, 5721242, F3, 5, 19) (dual of [(5721242, 5), 28605988, 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.