Information on Result #2486598
Linear OOA(3235, 4194341, F3, 2, 21) (dual of [(4194341, 2), 8388447, 22]-NRT-code), using 31 times duplication based on linear OOA(3234, 4194341, F3, 2, 21) (dual of [(4194341, 2), 8388448, 22]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(324, 40, F3, 2, 10) (dual of [(40, 2), 56, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (14, 24, 40)-net over F3, using
- trace code for nets [i] based on digital (2, 12, 20)-net over F9, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F9 with g(F) = 2 and N(F) ≥ 20, using
- net from sequence [i] based on digital (2, 19)-sequence over F9, using
- trace code for nets [i] based on digital (2, 12, 20)-net over F9, using
- extracting embedded OOA [i] based on digital (14, 24, 40)-net over F3, using
- linear OOA(3210, 4194301, F3, 2, 21) (dual of [(4194301, 2), 8388392, 22]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- discarding factors / shortening the dual code based on linear OA(3210, large, F3, 21) (dual of [large, large−210, 22]-code), using
- OOA 2-folding [i] based on linear OA(3210, 8388602, F3, 21) (dual of [8388602, 8388392, 22]-code), using
- linear OOA(324, 40, F3, 2, 10) (dual of [(40, 2), 56, 11]-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.