Information on Result #896197
Linear OOA(5133, 4194332, F5, 2, 15) (dual of [(4194332, 2), 8388531, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(513, 31, F5, 2, 7) (dual of [(31, 2), 49, 8]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(53, 6, F5, 2, 3) (dual of [(6, 2), 9, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;9,5) [i]
- linear OOA(510, 25, F5, 2, 7) (dual of [(25, 2), 40, 8]-NRT-code), using
- extracting embedded OOA [i] based on digital (3, 10, 25)-net over F5, using
- linear OOA(53, 6, F5, 2, 3) (dual of [(6, 2), 9, 4]-NRT-code), using
- (u, u+v)-construction [i] based on
- linear OOA(5120, 4194301, F5, 2, 15) (dual of [(4194301, 2), 8388482, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5120, 8388602, F5, 15) (dual of [8388602, 8388482, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(5120, large, F5, 15) (dual of [large, large−120, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- discarding factors / shortening the dual code based on linear OA(5120, large, F5, 15) (dual of [large, large−120, 16]-code), using
- OOA 2-folding [i] based on linear OA(5120, 8388602, F5, 15) (dual of [8388602, 8388482, 16]-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.