Information on Result #896087
Linear OOA(570, 4194438, F5, 2, 8) (dual of [(4194438, 2), 8388806, 9]-NRT-code), using (u, u+v)-construction based on
- linear OOA(59, 137, F5, 2, 4) (dual of [(137, 2), 265, 5]-NRT-code), using
- extracting embedded OOA [i] based on digital (5, 9, 137)-net over F5, using
- linear OOA(561, 4194301, F5, 2, 8) (dual of [(4194301, 2), 8388541, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(561, 8388602, F5, 8) (dual of [8388602, 8388541, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(561, large, F5, 8) (dual of [large, large−61, 9]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,7], and designed minimum distance d ≥ |I|+1 = 9 [i]
- discarding factors / shortening the dual code based on linear OA(561, large, F5, 8) (dual of [large, large−61, 9]-code), using
- OOA 2-folding [i] based on linear OA(561, 8388602, F5, 8) (dual of [8388602, 8388541, 9]-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(571, 4194438, F5, 2, 8) (dual of [(4194438, 2), 8388805, 9]-NRT-code) | [i] | OOA Duplication | |
| 2 | Linear OOA(570, 2097218, F5, 10, 8) (dual of [(2097218, 10), 20972110, 9]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |