Information on Result #1012958
Linear OOA(575, 5601802, F5, 3, 7) (dual of [(5601802, 3), 16805331, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(515, 3050326, F5, 3, 3) (dual of [(3050326, 3), 9150963, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(515, 3050326, F5, 2, 3) (dual of [(3050326, 2), 6100637, 4]-NRT-code), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(515, 3050326, F5, 3) (dual of [3050326, 3050311, 4]-code or 3050326-cap in PG(14,5)), using
- appending kth column [i] based on linear OOA(515, 3050326, F5, 2, 3) (dual of [(3050326, 2), 6100637, 4]-NRT-code), using
- linear OOA(560, 2800901, F5, 3, 7) (dual of [(2800901, 3), 8402643, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(59, 4700, F5, 3, 3) (dual of [(4700, 3), 14091, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(59, 4700, F5, 2, 3) (dual of [(4700, 2), 9391, 4]-NRT-code), using
- linear OOA(551, 2796201, F5, 3, 7) (dual of [(2796201, 3), 8388552, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(551, large, F5, 7) (dual of [large, large−51, 8]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(551, large, F5, 7) (dual of [large, large−51, 8]-code), using
- linear OOA(59, 4700, F5, 3, 3) (dual of [(4700, 3), 14091, 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.