Information on Result #1715170
Digital (227, 250, 1141447)-net over F3, using net defined by OOA based on linear OOA(3250, 1141447, F3, 28, 23) (dual of [(1141447, 28), 31960266, 24]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3250, 3424342, F3, 4, 23) (dual of [(3424342, 4), 13697118, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 3424344, F3, 4, 23) (dual of [(3424344, 4), 13697126, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3250, 3424344, F3, 2, 23) (dual of [(3424344, 2), 6848438, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 4194333, F3, 2, 23) (dual of [(4194333, 2), 8388416, 24]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(324, 32, F3, 2, 11) (dual of [(32, 2), 40, 12]-NRT-code), using
- extracting embedded OOA [i] based on digital (13, 24, 32)-net over F3, using
- trace code for nets [i] based on digital (1, 12, 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, 12, 16)-net over F9, using
- extracting embedded OOA [i] based on digital (13, 24, 32)-net over F3, using
- linear OOA(3226, 4194301, F3, 2, 23) (dual of [(4194301, 2), 8388376, 24]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3226, 8388602, F3, 23) (dual of [8388602, 8388376, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,22], and designed minimum distance d ≥ |I|+1 = 24 [i]
- discarding factors / shortening the dual code based on linear OA(3226, large, F3, 23) (dual of [large, large−226, 24]-code), using
- OOA 2-folding [i] based on linear OA(3226, 8388602, F3, 23) (dual of [8388602, 8388376, 24]-code), using
- linear OOA(324, 32, F3, 2, 11) (dual of [(32, 2), 40, 12]-NRT-code), using
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OOA(3250, 4194333, F3, 2, 23) (dual of [(4194333, 2), 8388416, 24]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(3250, 3424344, F3, 2, 23) (dual of [(3424344, 2), 6848438, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3250, 3424344, F3, 4, 23) (dual of [(3424344, 4), 13697126, 24]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.