Information on Result #1013180
Linear OOA(5148, 5592480, F5, 3, 12) (dual of [(5592480, 3), 16777292, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(545, 2796227, F5, 3, 6) (dual of [(2796227, 3), 8388636, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(54, 26, F5, 3, 3) (dual of [(26, 3), 74, 4]-NRT-code), using
- linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
- (u, u+v)-construction [i] based on
- linear OOA(5103, 2796253, F5, 3, 12) (dual of [(2796253, 3), 8388656, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(512, 52, F5, 3, 6) (dual of [(52, 3), 144, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 12, 52)-net over F5, using
- trace code for nets [i] based on digital (0, 6, 26)-net over F25, using
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- generalized Faure sequence [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F25 with g(F) = 0 and N(F) ≥ 26, using
- the rational function field F25(x) [i]
- Niederreiter sequence [i]
- net from sequence [i] based on digital (0, 25)-sequence over F25, using
- trace code for nets [i] based on digital (0, 6, 26)-net over F25, using
- extracting embedded OOA [i] based on digital (6, 12, 52)-net over F5, using
- linear OOA(591, 2796201, F5, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
- linear OOA(512, 52, F5, 3, 6) (dual of [(52, 3), 144, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
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.