Information on Result #1210134
Digital (180, 192, 6991258)-net over F4, using (u, u+v)-construction based on
- digital (51, 57, 2796957)-net over F4, using
- (u, u+v)-construction [i] based on
- digital (5, 8, 756)-net over F4, using
- net defined by OOA [i] based on linear OOA(48, 756, F4, 3, 3) (dual of [(756, 3), 2260, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(48, 756, F4, 2, 3) (dual of [(756, 2), 1504, 4]-NRT-code), using
- net defined by OOA [i] based on linear OOA(48, 756, F4, 3, 3) (dual of [(756, 3), 2260, 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 (5, 8, 756)-net over F4, using
- (u, u+v)-construction [i] based on
- digital (123, 135, 4194301)-net over F4, using
- net defined by OOA [i] based on linear OOA(4135, 4194301, F4, 15, 12) (dual of [(4194301, 15), 62914380, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4135, large, F4, 3, 12), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 644−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(6445, large, F64, 12) (dual of [large, large−45, 13]-code), using
- trace code [i] based on linear OOA(6445, 2796201, F64, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(4135, large, F4, 3, 12), using
- net defined by OOA [i] based on linear OOA(4135, 4194301, F4, 15, 12) (dual of [(4194301, 15), 62914380, 13]-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.