Information on Result #1774775
Digital (100, 117, 131090)-net over F4, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(4117, 131090, F4, 2, 17) (dual of [(131090, 2), 262063, 18]-NRT-code), using
- OOA 2-folding [i] based on linear OA(4117, 262180, F4, 17) (dual of [262180, 262063, 18]-code), using
- construction X with Varšamov bound [i] based on
- linear OA(4114, 262176, F4, 17) (dual of [262176, 262062, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(4109, 262144, F4, 17) (dual of [262144, 262035, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(482, 262144, F4, 13) (dual of [262144, 262062, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 262143 = 49−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(45, 32, F4, 3) (dual of [32, 27, 4]-code or 32-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- construction X applied to Ce(16) ⊂ Ce(12) [i] based on
- linear OA(4114, 262177, F4, 14) (dual of [262177, 262063, 15]-code), using Gilbert–Varšamov bound and bm = 4114 > Vbs−1(k−1) = 7 077536 142071 768841 898351 771288 368189 050973 506714 868838 032300 649069 [i]
- linear OA(42, 3, F4, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,4)), using
- dual of repetition code with length 3 [i]
- linear OA(4114, 262176, F4, 17) (dual of [262176, 262062, 18]-code), using
- construction X with Varšamov bound [i] based on
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.