Information on Result #1012924
Linear OOA(555, 4194307, F5, 3, 6) (dual of [(4194307, 3), 12582866, 7]-NRT-code), using (u, u+v)-construction based on
- linear OOA(53, 6, F5, 3, 3) (dual of [(6, 3), 15, 4]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(3;15,5) [i]
- linear OOA(552, 4194301, F5, 3, 6) (dual of [(4194301, 3), 12582851, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(552, 8388602, F5, 2, 6) (dual of [(8388602, 2), 16777152, 7]-NRT-code), using
- trace code [i] based on linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
- discarding factors / shortening the dual code based on linear OA(2526, large, F25, 6) (dual of [large, large−26, 7]-code), using
- OOA 2-folding [i] based on linear OA(2526, 8388602, F25, 6) (dual of [8388602, 8388576, 7]-code), using
- trace code [i] based on linear OOA(2526, 4194301, F25, 2, 6) (dual of [(4194301, 2), 8388576, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OOA(552, 8388602, F5, 2, 6) (dual of [(8388602, 2), 16777152, 7]-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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(555, 4194306, F5, 9, 6) (dual of [(4194306, 9), 37748699, 7]-NRT-code) | [i] | OOA Stacking with Additional Row | |