Information on Result #2798344
Linear OOA(3202, 2097182, F3, 4, 19) (dual of [(2097182, 4), 8388526, 20]-NRT-code), using 31 times duplication based on linear OOA(3201, 2097182, F3, 4, 19) (dual of [(2097182, 4), 8388527, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(320, 32, F3, 4, 9) (dual of [(32, 4), 108, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (11, 20, 32)-net over F3, using
- trace code for nets [i] based on digital (1, 10, 16)-net over F9, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 1 and N(F) ≥ 16, using
- net from sequence [i] based on digital (1, 15)-sequence over F9, using
- trace code for nets [i] based on digital (1, 10, 16)-net over F9, using
- extracting embedded OOA [i] based on digital (11, 20, 32)-net over F3, using
- linear OOA(3181, 2097150, F3, 4, 19) (dual of [(2097150, 4), 8388419, 20]-NRT-code), using
- OOA 4-folding [i] based on linear OA(3181, 8388600, F3, 19) (dual of [8388600, 8388419, 20]-code), using
- discarding factors / shortening the dual code 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]
- discarding factors / shortening the dual code based on linear OA(3181, large, F3, 19) (dual of [large, large−181, 20]-code), using
- OOA 4-folding [i] based on linear OA(3181, 8388600, F3, 19) (dual of [8388600, 8388419, 20]-code), using
- linear OOA(320, 32, F3, 4, 9) (dual of [(32, 4), 108, 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.