Information on Result #1019073
Linear OOA(12836, 5625172, F128, 3, 7) (dual of [(5625172, 3), 16875480, 8]-NRT-code), using (u, u+v)-construction based on
- linear OOA(1287, large, F128, 3, 3), using
- appending kth column [i] based on linear OOA(1287, large, F128, 2, 3), using
- OAs with strength 3, b ≠ 2, and m > 3 are always embeddable [i] based on linear OA(1287, large, F128, 3) (dual of [large, large−7, 4]-code), using
- appending kth column [i] based on linear OOA(1287, large, F128, 2, 3), using
- linear OOA(12829, 2812586, F128, 3, 7) (dual of [(2812586, 3), 8437729, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 4]-NRT-code), using
- appending kth column [i] based on linear OOA(1284, 16385, F128, 2, 3) (dual of [(16385, 2), 32766, 4]-NRT-code), using
- linear OOA(12825, 2796201, F128, 3, 7) (dual of [(2796201, 3), 8388578, 8]-NRT-code), using
- OOA 3-folding [i] based on linear OA(12825, large, F128, 7) (dual of [large, large−25, 8]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 17895697 | 1284−1, defining interval I = [0,6], and designed minimum distance d ≥ |I|+1 = 8 [i]
- OOA 3-folding [i] based on linear OA(12825, large, F128, 7) (dual of [large, large−25, 8]-code), using
- linear OOA(1284, 16385, F128, 3, 3) (dual of [(16385, 3), 49151, 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.