Information on Result #1621178
Linear OOA(3218, 2070761, F3, 5, 20) (dual of [(2070761, 5), 10353587, 21]-NRT-code), using OOA 2-folding based on linear OOA(3218, 4141522, F3, 3, 20) (dual of [(4141522, 3), 12424348, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3218, 4141523, F3, 3, 20) (dual of [(4141523, 3), 12424351, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3218, 4141523, F3, 2, 20) (dual of [(4141523, 2), 8282828, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3218, 4194333, F3, 2, 20) (dual of [(4194333, 2), 8388448, 21]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(322, 32, F3, 2, 10) (dual of [(32, 2), 42, 11]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 22, 32)-net over F3, using
- trace code for nets [i] based on digital (1, 11, 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, 11, 16)-net over F9, using
- extracting embedded OOA [i] based on digital (12, 22, 32)-net over F3, using
- linear OOA(3196, 4194301, F3, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3196, 8388602, F3, 20) (dual of [8388602, 8388406, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- discarding factors / shortening the dual code based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- OOA 2-folding [i] based on linear OA(3196, 8388602, F3, 20) (dual of [8388602, 8388406, 21]-code), using
- linear OOA(322, 32, F3, 2, 10) (dual of [(32, 2), 42, 11]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3218, 4194333, F3, 2, 20) (dual of [(4194333, 2), 8388448, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3218, 4141523, F3, 2, 20) (dual of [(4141523, 2), 8282828, 21]-NRT-code), using
Mode: 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.