Information on Result #1013300
Linear OOA(5149, 4194307, F5, 3, 15) (dual of [(4194307, 3), 12582772, 16]-NRT-code), using (u, u+v)-construction based on
- linear OOA(57, 6, F5, 3, 7) (dual of [(6, 3), 11, 8]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;11,5) [i]
- linear OOA(5142, 4194301, F5, 3, 15) (dual of [(4194301, 3), 12582761, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(5142, 8388602, F5, 2, 15) (dual of [(8388602, 2), 16777062, 16]-NRT-code), using
- trace code [i] based on linear OOA(2571, 4194301, F25, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2571, 8388602, F25, 15) (dual of [8388602, 8388531, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 2510−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(2571, large, F25, 15) (dual of [large, large−71, 16]-code), using
- OOA 2-folding [i] based on linear OA(2571, 8388602, F25, 15) (dual of [8388602, 8388531, 16]-code), using
- trace code [i] based on linear OOA(2571, 4194301, F25, 2, 15) (dual of [(4194301, 2), 8388531, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(5142, 8388602, F5, 2, 15) (dual of [(8388602, 2), 16777062, 16]-NRT-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.