Information on Result #1540612
Linear OOA(4191, 5702764, F4, 3, 20) (dual of [(5702764, 3), 17108101, 21]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(4191, 5702764, F4, 20) (dual of [5702764, 5702573, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(4191, large, F4, 20) (dual of [large, large−191, 21]-code), using
- 11 times code embedding in larger space [i] based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
- the primitive narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 11 times code embedding in larger space [i] based on linear OA(4180, large, F4, 20) (dual of [large, large−180, 21]-code), using
Mode: 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(4191, 1425690, F4, 27, 20) (dual of [(1425690, 27), 38493439, 21]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |