Information on Result #1714114
Digital (189, 207, 2362726)-net over F3, using net defined by OOA based on linear OOA(3207, 2362726, F3, 25, 18) (dual of [(2362726, 25), 59067943, 19]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3207, 4725453, F3, 5, 18) (dual of [(4725453, 5), 23627058, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3207, 4725454, F3, 5, 18) (dual of [(4725454, 5), 23627063, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3207, 4725454, F3, 18) (dual of [4725454, 4725247, 19]-code), using
- discarding factors / shortening the dual code based on linear OA(3207, large, F3, 18) (dual of [large, large−207, 19]-code), using
- 27 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]
- 27 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(3207, large, F3, 18) (dual of [large, large−207, 19]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3207, 4725454, F3, 18) (dual of [4725454, 4725247, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(3207, 4725454, F3, 5, 18) (dual of [(4725454, 5), 23627063, 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.