Information on Result #1208612
Digital (159, 180, 53151)-net over F3, using (u, u+v)-construction based on
- digital (2, 12, 8)-net over F3, using
- net from sequence [i] based on digital (2, 7)-sequence over F3, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F3 with g(F) = 2 and N(F) ≥ 8, using
- net from sequence [i] based on digital (2, 7)-sequence over F3, using
- digital (147, 168, 53143)-net over F3, using
- net defined by OOA [i] based on linear OOA(3168, 53143, F3, 21, 21) (dual of [(53143, 21), 1115835, 22]-NRT-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(3168, 531431, F3, 21) (dual of [531431, 531263, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3168, 531440, F3, 21) (dual of [531440, 531272, 22]-code), using
- 1 times truncation [i] based on linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using
- an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 531440 = 312−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- 1 times truncation [i] based on linear OA(3169, 531441, F3, 22) (dual of [531441, 531272, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3168, 531440, F3, 21) (dual of [531440, 531272, 22]-code), using
- OOA 10-folding and stacking with additional row [i] based on linear OA(3168, 531431, F3, 21) (dual of [531431, 531263, 22]-code), using
- net defined by OOA [i] based on linear OOA(3168, 53143, F3, 21, 21) (dual of [(53143, 21), 1115835, 22]-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.