Information on Result #2626989
Linear OOA(3215, 2796365, F3, 3, 18) (dual of [(2796365, 3), 8388880, 19]-NRT-code), using strength reduction based on linear OOA(3215, 2796365, F3, 3, 19) (dual of [(2796365, 3), 8388880, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(334, 164, F3, 3, 9) (dual of [(164, 3), 458, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (25, 34, 164)-net over F3, using
- trace code for nets [i] based on digital (8, 17, 82)-net over F9, using
- base reduction for projective spaces (embedding PG(8,81) in PG(16,9)) for nets [i] based on digital (0, 9, 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(8,81) in PG(16,9)) for nets [i] based on digital (0, 9, 82)-net over F81, using
- trace code for nets [i] based on digital (8, 17, 82)-net over F9, using
- extracting embedded OOA [i] based on digital (25, 34, 164)-net over F3, using
- linear OOA(3181, 2796201, F3, 3, 19) (dual of [(2796201, 3), 8388422, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 14348908 | 330−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- linear OOA(334, 164, F3, 3, 9) (dual of [(164, 3), 458, 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.
Other Results with Identical Parameters
None.
Depending Results
None.