Information on Result #1190274
Digital (46, 58, 2808)-net over F7, using net defined by OOA based on linear OOA(758, 2808, F7, 15, 12) (dual of [(2808, 15), 42062, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(758, 5617, F7, 3, 12) (dual of [(5617, 3), 16793, 13]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(77, 13, F7, 3, 6) (dual of [(13, 3), 32, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 7, 13)-net over F7, using
- 6 times m-reduction [i] based on digital (1, 13, 13)-net over F7, using
- extracting embedded OOA [i] based on digital (1, 7, 13)-net over F7, using
- linear OOA(751, 5604, F7, 3, 12) (dual of [(5604, 3), 16761, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(751, 16812, F7, 12) (dual of [16812, 16761, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(751, 16807, F7, 12) (dual of [16807, 16756, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(746, 16807, F7, 11) (dual of [16807, 16761, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 16806 = 75−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(70, 5, F7, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(70, s, F7, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- OOA 3-folding [i] based on linear OA(751, 16812, F7, 12) (dual of [16812, 16761, 13]-code), using
- linear OOA(77, 13, F7, 3, 6) (dual of [(13, 3), 32, 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, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.