Information on Result #2667103
Linear OOA(2231, 2796231, F2, 3, 18) (dual of [(2796231, 3), 8388462, 19]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(2228, 2796230, F2, 3, 18) (dual of [(2796230, 3), 8388462, 19]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(221, 29, F2, 3, 9) (dual of [(29, 3), 66, 10]-NRT-code), using
- extracting embedded OOA [i] based on digital (12, 21, 29)-net over F2, using
- linear OOA(2207, 2796201, F2, 3, 18) (dual of [(2796201, 3), 8388396, 19]-NRT-code), using
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- the primitive narrow-sense BCH-code C(I) with length 8388607 = 223−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- OOA 3-folding [i] based on linear OA(2207, large, F2, 18) (dual of [large, large−207, 19]-code), using
- linear OOA(221, 29, F2, 3, 9) (dual of [(29, 3), 66, 10]-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.
Other Results with Identical Parameters
None.
Depending Results
None.