Information on Result #1713338
Digital (144, 158, 2310131)-net over F3, using net defined by OOA based on linear OOA(3158, 2310131, F3, 20, 14) (dual of [(2310131, 20), 46202462, 15]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3158, 4620263, F3, 4, 14) (dual of [(4620263, 4), 18480894, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3158, 4620264, F3, 4, 14) (dual of [(4620264, 4), 18480898, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3158, 4620264, F3, 14) (dual of [4620264, 4620106, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3158, large, F3, 14) (dual of [large, large−158, 15]-code), using
- 22 times code embedding in larger space [i] based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 22 times code embedding in larger space [i] based on linear OA(3136, large, F3, 14) (dual of [large, large−136, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3158, large, F3, 14) (dual of [large, large−158, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3158, 4620264, F3, 14) (dual of [4620264, 4620106, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(3158, 4620264, F3, 4, 14) (dual of [(4620264, 4), 18480898, 15]-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.