Information on Result #1019893
Linear OOA(25629, 5723476, F256, 3, 7) (dual of [(5723476, 3), 17170399, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(2566, large, F256, 3, 3), using
- appending kth column [i] based on linear OOA(2566, large, F256, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(2566, large, F256, 3) (dual of [large, large−6, 4]-code), using
- appending kth column [i] based on linear OOA(2566, large, F256, 2, 3), using
- linear OOA(25623, 2861738, F256, 3, 7) (dual of [(2861738, 3), 8585191, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(2564, 65537, F256, 2, 3) (dual of [(65537, 2), 131070, 4]-NRT-code), using
- linear OOA(25619, 2796201, F256, 3, 7) (dual of [(2796201, 3), 8388584, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(25619, large, F256, 7) (dual of [large, large−19, 8]-code), using
- linear OOA(2564, 65537, F256, 3, 3) (dual of [(65537, 3), 196607, 4]-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.
Other Results with Identical Parameters
None.
Depending Results
None.