Information on Result #1731830
Digital (98, 116, 1594330)-net over F9, using net defined by OOA based on linear OOA(9116, 1594330, F9, 21, 18) (dual of [(1594330, 21), 33480814, 19]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(9116, 4782991, F9, 3, 18) (dual of [(4782991, 3), 14348857, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(9116, 4782993, F9, 3, 18) (dual of [(4782993, 3), 14348863, 19]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9116, 4782993, F9, 18) (dual of [4782993, 4782877, 19]-code), using
- 1 times truncation [i] based on linear OA(9117, 4782994, F9, 19) (dual of [4782994, 4782877, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(992, 4782969, F9, 15) (dual of [4782969, 4782877, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(94, 25, F9, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,9)), using
- construction X applied to Ce(18) ⊂ Ce(14) [i] based on
- 1 times truncation [i] based on linear OA(9117, 4782994, F9, 19) (dual of [4782994, 4782877, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(9116, 4782993, F9, 18) (dual of [4782993, 4782877, 19]-code), using
- discarding factors / shortening the dual code based on linear OOA(9116, 4782993, F9, 3, 18) (dual of [(4782993, 3), 14348863, 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.