Information on Result #1019880
Linear OOA(25625, 5592916, F256, 3, 6) (dual of [(5592916, 3), 16778723, 7]-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(25619, 2796458, F256, 3, 6) (dual of [(2796458, 3), 8389355, 7]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;768,256) [i]
- linear OOA(25616, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
- OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
- linear OOA(2563, 257, F256, 3, 3) (dual of [(257, 3), 768, 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.