Information on Result #1210223
Digital (193, 206, 6995542)-net over F4, using (u, u+v)-construction based on
- digital (53, 59, 2801241)-net over F4, using
- (u, u+v)-construction [i] based on
- digital (7, 10, 5040)-net over F4, using
- net defined by OOA [i] based on linear OOA(410, 5040, F4, 3, 3) (dual of [(5040, 3), 15110, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(410, 5040, F4, 2, 3) (dual of [(5040, 2), 10070, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(410, 5040, F4, 3, 3) (dual of [(5040, 3), 15110, 4]-NRT-code), using
- digital (43, 49, 2796201)-net over F4, using
- net defined by OOA [i] based on linear OOA(449, 2796201, F4, 6, 6) (dual of [(2796201, 6), 16777157, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(449, large, F4, 6) (dual of [large, large−49, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OA 3-folding and stacking [i] based on linear OA(449, large, F4, 6) (dual of [large, large−49, 7]-code), using
- net defined by OOA [i] based on linear OOA(449, 2796201, F4, 6, 6) (dual of [(2796201, 6), 16777157, 7]-NRT-code), using
- digital (7, 10, 5040)-net over F4, using
- (u, u+v)-construction [i] based on
- digital (134, 147, 4194301)-net over F4, using
- net defined by OOA [i] based on linear OOA(4147, 4194301, F4, 15, 13) (dual of [(4194301, 15), 62914368, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4147, large, F4, 3, 13), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 648−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- OOA 3-folding [i] based on linear OA(6449, large, F64, 13) (dual of [large, large−49, 14]-code), using
- trace code [i] based on linear OOA(6449, 2796201, F64, 3, 13) (dual of [(2796201, 3), 8388554, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4147, large, F4, 3, 13), using
- net defined by OOA [i] based on linear OOA(4147, 4194301, F4, 15, 13) (dual of [(4194301, 15), 62914368, 14]-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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.