Information on Result #1175501
Linear OOA(2259, 4194343, F2, 8, 12) (dual of [(4194343, 8), 33554485, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(216, 42, F2, 8, 6) (dual of [(42, 8), 320, 7]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(216, 42, F2, 6, 6) (dual of [(42, 6), 236, 7]-NRT-code), using
- appending kth column [i] based on linear OOA(216, 42, F2, 5, 6) (dual of [(42, 5), 194, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (10, 16, 42)-net over F2, using
- appending kth column [i] based on linear OOA(216, 42, F2, 5, 6) (dual of [(42, 5), 194, 7]-NRT-code), using
- appending 2 arbitrary columns [i] based on linear OOA(216, 42, F2, 6, 6) (dual of [(42, 6), 236, 7]-NRT-code), using
- linear OOA(2243, 4194301, F2, 8, 12) (dual of [(4194301, 8), 33554165, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2243, large, F2, 3, 12), using
- trace code [i] based on linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 88−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- OOA 3-folding [i] based on linear OA(881, large, F8, 12) (dual of [large, large−81, 13]-code), using
- trace code [i] based on linear OOA(881, 2796201, F8, 3, 12) (dual of [(2796201, 3), 8388522, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(2243, large, F2, 3, 12), 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.
Other Results with Identical Parameters
None.
Depending Results
None.