Information on Result #1193282
Digital (54, 63, 1195782)-net over F9, using net defined by OOA based on linear OOA(963, 1195782, F9, 10, 9) (dual of [(1195782, 10), 11957757, 10]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(963, 2391565, F9, 2, 9) (dual of [(2391565, 2), 4783067, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(963, 2391566, F9, 2, 9) (dual of [(2391566, 2), 4783069, 10]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(97, 82, F9, 2, 4) (dual of [(82, 2), 157, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 7, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(3,81) in PG(6,9)) for nets [i] based on digital (0, 4, 82)-net over F81, using
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F81 with g(F) = 0 and N(F) ≥ 82, using
- the rational function field F81(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 81)-sequence over F81, using
- base reduction for projective spaces (embedding PG(3,81) in PG(6,9)) for nets [i] based on digital (0, 4, 82)-net over F81, using
- extracting embedded OOA [i] based on digital (3, 7, 82)-net over F9, using
- linear OOA(956, 2391484, F9, 2, 9) (dual of [(2391484, 2), 4782912, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(956, 4782968, F9, 9) (dual of [4782968, 4782912, 10]-code), using
- 1 times truncation [i] based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
- an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- 1 times truncation [i] based on linear OA(957, 4782969, F9, 10) (dual of [4782969, 4782912, 11]-code), using
- OOA 2-folding [i] based on linear OA(956, 4782968, F9, 9) (dual of [4782968, 4782912, 10]-code), using
- linear OOA(97, 82, F9, 2, 4) (dual of [(82, 2), 157, 5]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(963, 2391566, F9, 2, 9) (dual of [(2391566, 2), 4783069, 10]-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.