Information on Result #899489
Linear OOA(2563, 4194328, F25, 2, 12) (dual of [(4194328, 2), 8388593, 13]-NRT-code), using (u, u+v)-construction based on
- linear OOA(257, 27, F25, 2, 6) (dual of [(27, 2), 47, 7]-NRT-code), using
- extracting embedded OOA [i] based on digital (1, 7, 27)-net over F25, using
- net from sequence [i] based on digital (1, 26)-sequence over F25, using
- extracting embedded OOA [i] based on digital (1, 7, 27)-net over F25, using
- linear OOA(2556, 4194301, F25, 2, 12) (dual of [(4194301, 2), 8388546, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 255−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(2556, large, F25, 12) (dual of [large, large−56, 13]-code), using
- OOA 2-folding [i] based on linear OA(2556, 8388602, F25, 12) (dual of [8388602, 8388546, 13]-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(2563, 1398109, F25, 14, 12) (dual of [(1398109, 14), 19573463, 13]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |