Information on Result #2677213
Linear OOA(3247, 3188678, F3, 3, 19) (dual of [(3188678, 3), 9565787, 20]-NRT-code), using 31 times duplication based on linear OOA(3246, 3188678, F3, 3, 19) (dual of [(3188678, 3), 9565788, 20]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(320, 32, F3, 3, 9) (dual of [(32, 3), 76, 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(3226, 3188646, F3, 3, 19) (dual of [(3188646, 3), 9565712, 20]-NRT-code), using
- trace code [i] based on linear OOA(9113, 1594323, F9, 3, 19) (dual of [(1594323, 3), 4782856, 20]-NRT-code), using
- OOA 3-folding [i] based on linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using
- an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(9113, 4782969, F9, 19) (dual of [4782969, 4782856, 20]-code), using
- trace code [i] based on linear OOA(9113, 1594323, F9, 3, 19) (dual of [(1594323, 3), 4782856, 20]-NRT-code), using
- linear OOA(320, 32, F3, 3, 9) (dual of [(32, 3), 76, 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.