Information on Result #896163
Linear OOA(5117, 4194457, F5, 2, 13) (dual of [(4194457, 2), 8388797, 14]-NRT-code), using (u, u+v)-construction based on
- linear OOA(516, 156, F5, 2, 6) (dual of [(156, 2), 296, 7]-NRT-code), using
- OOA 2-folding [i] based on linear OA(516, 312, F5, 6) (dual of [312, 296, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(516, 313, F5, 6) (dual of [313, 297, 7]-code), using
- OOA 2-folding [i] based on linear OA(516, 312, F5, 6) (dual of [312, 296, 7]-code), using
- linear OOA(5101, 4194301, F5, 2, 13) (dual of [(4194301, 2), 8388501, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(5101, 8388602, F5, 13) (dual of [8388602, 8388501, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 9765626 | 520−1, defining interval I = [0,6], and minimum distance d ≥ |{−6,−5,…,6}|+1 = 14 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(5101, large, F5, 13) (dual of [large, large−101, 14]-code), using
- OOA 2-folding [i] based on linear OA(5101, 8388602, F5, 13) (dual of [8388602, 8388501, 14]-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(5117, 1398152, F5, 14, 13) (dual of [(1398152, 14), 19574011, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |