Information on Result #1208295
Digital (123, 138, 227767)-net over F3, using (u, u+v)-construction based on
- digital (1, 8, 7)-net over F3, using
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 1 and N(F) ≥ 7, using
- net from sequence [i] based on digital (1, 6)-sequence over F3, using
- digital (115, 130, 227760)-net over F3, using
- net defined by OOA [i] based on linear OOA(3130, 227760, F3, 15, 15) (dual of [(227760, 15), 3416270, 16]-NRT-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(3130, 1594321, F3, 15) (dual of [1594321, 1594191, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3130, 1594322, F3, 15) (dual of [1594322, 1594192, 16]-code), using
- 1 times truncation [i] based on linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using
- an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1594322 = 313−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 1 times truncation [i] based on linear OA(3131, 1594323, F3, 16) (dual of [1594323, 1594192, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3130, 1594322, F3, 15) (dual of [1594322, 1594192, 16]-code), using
- OOA 7-folding and stacking with additional row [i] based on linear OA(3130, 1594321, F3, 15) (dual of [1594321, 1594191, 16]-code), using
- net defined by OOA [i] based on linear OOA(3130, 227760, F3, 15, 15) (dual of [(227760, 15), 3416270, 16]-NRT-code), using
Mode: Constructive and 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.