Information on Result #893891
Linear OOA(4146, 8388602, F4, 2, 13) (dual of [(8388602, 2), 16777058, 14]-NRT-code), using trace code based on linear OOA(1673, 4194301, F16, 2, 13) (dual of [(4194301, 2), 8388529, 14]-NRT-code), using
- OOA 2-folding [i] based on linear OA(1673, 8388602, F16, 13) (dual of [8388602, 8388529, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(1673, large, F16, 13) (dual of [large, large−73, 14]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217 | 1612−1, 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(1673, large, F16, 13) (dual of [large, large−73, 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(4146, 4194301, F4, 3, 13) (dual of [(4194301, 3), 12582757, 14]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4146, 2796200, F4, 14, 13) (dual of [(2796200, 14), 39146654, 14]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |