Information on Result #1714112
Digital (188, 206, 2205937)-net over F3, using net defined by OOA based on linear OOA(3206, 2205937, F3, 25, 18) (dual of [(2205937, 25), 55148219, 19]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3206, 4411875, F3, 5, 18) (dual of [(4411875, 5), 22059169, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3206, 4411876, F3, 5, 18) (dual of [(4411876, 5), 22059174, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3206, 4411876, F3, 18) (dual of [4411876, 4411670, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3206, large, F3, 18) (dual of [large, large−206, 19]-code), using
- 26 times code embedding in larger space [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- 26 times code embedding in larger space [i] based on linear OA(3180, large, F3, 18) (dual of [large, large−180, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3206, large, F3, 18) (dual of [large, large−206, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3206, 4411876, F3, 18) (dual of [4411876, 4411670, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(3206, 4411876, F3, 5, 18) (dual of [(4411876, 5), 22059174, 19]-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.