Information on Result #1713914
Digital (181, 198, 2964135)-net over F3, using net defined by OOA based on linear OOA(3198, 2964135, F3, 20, 17) (dual of [(2964135, 20), 59282502, 18]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(3198, 5928271, F3, 4, 17) (dual of [(5928271, 4), 23712886, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3198, 5928272, F3, 4, 17) (dual of [(5928272, 4), 23712890, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3198, 5928272, F3, 17) (dual of [5928272, 5928074, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3198, large, F3, 17) (dual of [large, large−198, 18]-code), using
- 32 times code embedding in larger space [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,16], and designed minimum distance d ≥ |I|+1 = 18 [i]
- 32 times code embedding in larger space [i] based on linear OA(3166, large, F3, 17) (dual of [large, large−166, 18]-code), using
- discarding factors / shortening the dual code based on linear OA(3198, large, F3, 17) (dual of [large, large−198, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3198, 5928272, F3, 17) (dual of [5928272, 5928074, 18]-code), using
- discarding factors / shortening the dual code based on linear OOA(3198, 5928272, F3, 4, 17) (dual of [(5928272, 4), 23712890, 18]-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.